Engineering: Mechanics of solids Books
Springer Fracture Scaling
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Melt Rheology and Its Role in Plastics Processing Theory and Applications
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Modal Analysis and Testing
a huge range and FREE tracked UK delivery on ALL orders.
£44.99
Springer Mixing and Crystallization Selected papers from the International Conference on Mixing and Crystallization held at Tioman Island Malaysia in April 1998
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Mechanical Behavior of Engineering Materials Volume 1 Static and QuasiStatic Loading Volume 2 Dynamic Loading and Intelligent Material Systems Static behaviour of engineering materials
a huge range and FREE tracked UK delivery on ALL orders.
£170.99
Springer Iutam Symposium on Nonlinear Waves in MultiPhase Flow Proceedings of the Iutam Symposium Held in Notre Dame USA 7 9 July 1999 57 Fluid Mechanics and Its Applications
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Application of Demilitarized Gun and Rocket Propellants in Commercial Explosives Proceedings of the NATO Advanced Research Workshop Held in October 1999 3 Nato Science Series II
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Application of Demilitarized Gun and Rocket Propellants in Commercial Explosives Nato Science Series II Mathematics Physics and Chemistry Volume in Krasnoarmeisk Russia 1820 October 1999
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer The Paramount Role of Joints into the Reliable Response of Structures From the Classic Pinned and Rigid Joints to the Notion of Semirigidity Nato Science Series II 4
a huge range and FREE tracked UK delivery on ALL orders.
£44.99
Springer IUTAM Symposium on Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials Solid Mechanics and Its Applications Proceedings of Stuttgart Germany September 510 1999 87
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Stellar Pulsation Nonlinear Studies 257 Astrophysics and Space Science Library
a huge range and FREE tracked UK delivery on ALL orders.
£85.49
Springer Normal Modes and Localization in Nonlinear Systems
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer IUTAM Symposium on Free Surface Flows Fluid Mechanics and Its Applications Proceedings of the IUTAM Symposium held in Birmingham United Kingdom 1014 July 2000 62
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Computational Atmospheric Acoustics
a huge range and FREE tracked UK delivery on ALL orders.
£85.49
Springer Integrated Matrix Analysis of Structures Theory and Computation 704
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Dynamic Modeling of Musculoskeletal Motion A Vectorized Approach for Biomechanical Analysis in Three Dimensions
a huge range and FREE tracked UK delivery on ALL orders.
£123.49
Springer Geometric Method for Stability of NonLinear Elastic Thin Shells
a huge range and FREE tracked UK delivery on ALL orders.
£85.49
Springer Tandem Cold Metal Rolling Mill Control Using Practical Advanced Methods Advances in Industrial Control
a huge range and FREE tracked UK delivery on ALL orders.
£142.49
Springer Advanced Mechanics in Robotic Systems
a huge range and FREE tracked UK delivery on ALL orders.
£112.50
Springer Structural Health Monitoring Using Genetic Fuzzy Systems
a huge range and FREE tracked UK delivery on ALL orders.
£112.50
Springer Haptic Interaction with Deformable Objects Modelling VR Systems for Textiles Springer Series on Touch and Haptic Systems
a huge range and FREE tracked UK delivery on ALL orders.
£89.99
Cambridge University Press Discrete Variational Problems with Interfaces
Book SynopsisThis text presents a complete treatment of variational problems on discrete sets with an overall behavior driven by surface energies. Covering both applications and perspectives, it can be used as an advanced graduate course text, as well as a reference for mathematical analysts and applied mathematicians working in related fields.Table of Contents1. Introduction; 2. Preliminaries; 3. Homogenization of pairwise systems with positive coefficients; 4. Compactness and integral representation; 5. Random lattices; 6. Extensions; 7. Frustrated systems; 8. Perspectives towards dense graphs; A. Multiscale analysis; B. Spin systems as limits of elastic interactions; References; Index.
£89.99
Legare Street Press Théorie de lélasticité des corps solides Volume 1
a huge range and FREE tracked UK delivery on ALL orders.
£31.30
Creative Media Partners, LLC Fretting Fatigue Behavior of a Titanium Alloy Ti6AL4V at Elevated Temperature
£14.96
Cambridge University Press Introduction to GrapheneBased Nanomaterials
Book SynopsisGraphene is one of the most intensively studied materials, and has unusual electrical, mechanical and thermal properties, which provide almost unlimited potential applications. This book provides an introduction to the electrical and transport properties of graphene and other two-dimensional nanomaterials, covering ab-initio to multiscale methods. Updated from the first edition, the authors have added chapters on other two-dimensional materials, spin-related phenomena, and an improved overview of Berry phase effects. Other topics include powerful order N electronic structure, transport calculations, and ac transport and multiscale transport methodologies. Chapters are complemented with concrete examples and case studies, questions and exercises, detailed appendices and computational codes. It is a valuable resource for graduate students and researchers working in physics, materials science or engineering who are interested in the field of graphene-based nanomaterials.Trade Review'Overall this second edition reflects well the new directions that have been followed by researchers in this field over the last past five years … So, I can only repeat the recommendation that I made in the review of the first edition: whether you are a student or an experienced researcher, this book will certainly act as a useful source of information if you decide to buy it.' Sébastien Lebègue, Acta Crystallographica'Compared with the first edition the scope has been extended to cover materials other than carbon, and few-layer systems … Some topics lightly touched on in the first edition are now treated in depth. … The attention to detail is excellent throughout … There are quite challenging problems to test the reader's understanding … This is an excellent text on the theory of graphene. I am sure there will be further editions in which tantalising references to the most recent literature (for example, the analytical connection between the quantum Hall wave function and the flatness of bands at magic angles) will be explained in the authors' clear style. The book deserves a place on the shelf of any researcher in the field.' A. H. Harker, Contemporary PhysicsTable of ContentsPreface to the first edition; Preface to the second edition; 1. Introduction to carbon-based nanostructures; 2. Electronic properties of carbon-based nanostructures; 3. The new family of two-dimensional materials and van der Waals heterostructures; 4. Quantum transport: general concepts; 5. Klein tunneling and ballistic transport; 6. Quantum transport in disordered graphene-based materials; 7. Quantum Hall effects in graphene; 8. Spin-related phenomena; 9. Quantum transport beyond DC; 10. Ab initio and multiscale quantum transport in graphene-based materials; Appendix A. Electronic structure calculations: the density functional theory; Appendix B. Electronic structure calculations: the many-body perturbation theory; Appendix C. Green's functions and ab initio quantum transport in the Landauer–Büttiker formalism; References; Index.
£83.59
Bloomsbury Publishing (UK) Understanding Structures Analysis Materials Design
Book SynopsisDerek Seward is Lecturer in Engineering at Lancaster University, UK. He began his career as a design engineer, and has previously worked as a principal engineer (structures) for a local authority.
£72.95
Springer Introduction to Nonlinear Finite Element Analysis
Book SynopsisPreliminary concepts.- Nonlinear Finite Element Analysis Procedure.- Finite Element Analysis for Nonlinear Elastic Systems.- Finite Element Analysis for Elastoplastic Problems.- Finite Element Analysis for Contact Problems. Table of ContentsPreliminary concepts.- Nonlinear Finite Element Analysis Procedure.- Finite Element Analysis for Nonlinear Elastic Systems.- Finite Element Analysis for Elastoplastic Problems.- Finite Element Analysis for Contact Problems.
£104.49
Springer Us Technology of the Guitar
Book SynopsisFeaturing chapters on physics, structure, sound and design specifics, Technology of the Guitar also includes coverage of historical content, composition of strings and their effects on sound quality, and important designs.Table of Contents1. Guitar Overview.- 2. Basic Physics.- 3. The Structure of the Guitar.- 4. Electronics.- 5. Sound Quality.- 6. Design Specifics for Acoustic Guitars.- 7. Design Specifics for Electric Guitars.- 8. Hardware.- 9. Iconic Guitars.
£127.99
Springer Nature Switzerland AG Marine Robotics and Applications
Book SynopsisThis book reports on findings at the intersection between two related fields, namely coastal hydrography and marine robotics. On one side, it shows how the exploration of the ocean can be performed by autonomous underwater vehicles; on the other side, it shows how some methods from hydrography can be implemented in the localization and navigation of such vehicles, e.g. for target identification or path finding. Partially based on contributions presented at the conference Quantitative Monitoring of Underwater Environment, MOQESM, held on October 11-12, 2016, Brest, France, this book includes carefully revised and extended chapters presented at the conference, together with original papers not related to the event. All in all, it provides readers with a snapshot of current methods for sonar track registration, multi-vehicles control, collective exploration of underwater environments, optimization of propulsion systems, among others. More than that, the book is aimed as source of inspiration and tool to promote further discussions and collaboration between hydrographers, robotic specialists and other related communities.Trade Review“I would definitely recommend it for any underwater vehicle research and development individuals or groups.” (Ron Lewis, Underwater Technology, Vol. 37 (3), 2020)Table of ContentsFrom the Content: Fast Fourier-Based Block-Matching Algorithm for Sonar Tracks Registration in a Multiresolution Framework.- Adaptive Sampling with a Fleet of Autonomous Sailing Boats Using Artificial Potential Fields.- Underwater Robots Equipped with Artificial Electric Sense for the Exploration of Unconventional Aquatic Niches.- Estimating the Trajectory of Low-cost Autonomous Robots Using Interval Analysis: Application to the euRathlon Competition.
£71.24
Springer Nature Switzerland AG The Isogeometric Boundary Element Method
Book SynopsisThis book discusses the introduction of isogeometric technology to the boundary element method (BEM) in order to establish an improved link between simulation and computer aided design (CAD) that does not require mesh generation. In the isogeometric BEM, non-uniform rational B-splines replace the Lagrange polynomials used in conventional BEM. This may seem a trivial exercise, but if implemented rigorously, it has profound implications for the programming, resulting in software that is extremely user friendly and efficient. The BEM is ideally suited for linking with CAD, as both rely on the definition of objects by boundary representation. The book shows how the isogeometric philosophy can be implemented and how its benefits can be maximised with a minimum of user effort. Using several examples, ranging from potential problems to elasticity, it demonstrates that the isogeometric approach results in a drastic reduction in the number of unknowns and an increase in the quality of the results. In some cases even exact solutions without refinement are possible. The book also presents a number of practical applications, demonstrating that the development is not only of academic interest. It then elegantly addresses heterogeneous and non-linear problems using isogeometric concepts, and tests them on several examples, including a severely non-linear problem in viscous flow. The book makes a significant contribution towards a seamless integration of CAD and simulation, which eliminates the need for tedious mesh generation and provides high-quality results with minimum user intervention and computing.Table of ContentsIntroduction.- The boundary integral equation.- Basis functions, B-splines.- Description of the geometry.- Getting geometry information from CAD programs.- Numerical treatment of integral equations.- Numerical integration.- Steady state potential problems.- Static linear solid mechanics.- Body force effects.- Treatment of inhomogeneities/inclusions.- Material non-linear behaviour.- Applications in geomechanics.- Viscous flow problems.- Time dependent problems.- Summary and outlook.- Appendix A: Fundamental solutions.
£71.24
Springer Nature Switzerland AG Finite Elements in Structural Analysis:
Book SynopsisThe book introduces the basic concepts of the finite element method in the static and dynamic analysis of beam, plate, shell and solid structures, discussing how the method works, the characteristics of a finite element approximation and how to avoid the pitfalls of finite element modeling. Presenting the finite element theory as simply as possible, the book allows readers to gain the knowledge required when applying powerful FEA software tools. Further, it describes modeling procedures, especially for reinforced concrete structures, as well as structural dynamics methods, with a particular focus on the seismic analysis of buildings, and explores the modeling of dynamic systems. Featuring numerous illustrative examples, the book allows readers to easily grasp the fundamentals of the finite element theory and to apply the finite element method proficiently.Trade Review“The theory of FEM is presented ‘as simply as possible’ and illustrated with many examples. … The book gives the readers the knowledge required when applying powerful FEM software tools in static or dynamic analysis. … The book is based on the lectures for students of the Faculty of Civil Engineering, and is intended for students as well as for structural engineers.” (V. Leontiev, zbMATH 1502.74004, 2023)Table of ContentsMathematical background.- Basic equations of the theory of elasticity.- Truss and beam structures.- Plate, shell and solid structures.- Dynamic analysis of structures.
£54.99
Springer Nature Switzerland AG Flinovia—Flow Induced Noise and Vibration Issues
Book SynopsisThis volume gathers the latest advances and innovations in the field of flow-induced vibration and noise, as presented by leading international researchers at the 3rd International Symposium on Flow Induced Noise and Vibration Issues and Aspects (FLINOVIA), which was held in Lyon, France, in September 2019. It explores topics such as turbulent boundary layer-induced vibration and noise, tonal noise, noise due to ingested turbulence, fluid-structure interaction problems, and noise control techniques. The authors’ backgrounds represent a mix of academia, government, and industry, and several papers include applications to important problems for underwater vehicles, aerospace structures and commercial transportation. The book offers a valuable reference guide for all those interested in measurement, modelling, simulation and reproduction of the flow excitation and flow induced structural response.Table of ContentsSource Modeling.- Experimental Techniques.- Analytical Developments.- Numerical Methods.
£189.99
Springer Nature Switzerland AG Structural Mechanics in Lightweight Engineering
Book SynopsisThis book provides a comprehensive yet concise presentation of the analysis methods of lightweight engineering in the context of the statics of beam structures and is divided into four sections. Starting from very general remarks on the fundamentals of elasticity theory, the first section also addresses plane problems as well as strength criteria of isotropic materials. The second section is devoted to the analytical treatment of the statics of beam structures, addressing beams under bending, shear and torsion. The third section deals with the work and energy methods in lightweight construction, spanning classical methods and modern computational methods such as the finite element method. Finally, the fourth section addresses more advanced beam models, discussing hybrid structures as well as laminated and sandwich beams, in addition to shear field beams and shear deformable beams. This book is intended for students at technical colleges and universities, as well as for engineers in practice and researchers in engineering.Table of ContentsIntroduction.- Theory of elasticity.- Plane problems.- Strength criteria for isotropic materials.- Strength criteria for isotropic materials.- Beams under transverse shear forces.- St. Venant torsion.- Warping torsion.- Work and energy.- Principle of virtual displacements.
£59.99
£170.99
£170.99
De Gruyter Fracture Mechanics in Layered and Graded Solids: Analysis Using Boundary Element Methods
Book SynopsisMechanical responses of solid materials are governed by their material properties. The solutions for estimating and predicting the mechanical responses are extremely difficult, in particular for non-homogeneous materials. Among these, there is a special type of materials whose properties are variable only along one direction, defined as graded materials or functionally graded materials (FGMs). Examples are plant stems and bones. Artificial graded materials are widely used in mechanical engineering, chemical engineering, biological engineering, and electronic engineering. This work covers and develops boundary element methods (BEM) to investigate the properties of realistic graded materials. It is a must have for practitioners and researchers in materials science, both academic and in industry. Covers analysis of properties of graded materials. Presents solutions based methods for analysis of fracture mechanics. Presents two types of boundary element methods for layered isotropic materials and transversely isotropic materials. Written by two authors with extensive international experience in academic and private research and engineering.Table of ContentsChapter 1 Introduction Chapter 2 Fundamentals of elasticity and fracture mechanics Chapter 3 Solutions of three-dimensional layered materials Chapter 4 Solution based boundary element methods of static elasticity Chapter 5 The multi-domain boundary element method for fracture mechanics Chapter 6 Solutions based dual boundary element method for fracture mechanics Chapter 7 Penny-shaped and elliptical cracks in functionally graded solids Chapter 8 Rectangular cracks in layered and functionally graded solids Chapter 9 Fracture mechanics of transversely isotropic bimaterials Chapter 10 Conclusions and remarks
£144.40
De Gruyter Statistik, Festkörper, Materialien
£56.52
De Gruyter High-Temperature Superconductivity: Bipolaron Mechanism
Book SynopsisHigh temperature superconducting theory drew controversy after the discovery of superconductors at close to room temperatures. However, a consistent microscopic theory of HT superconductivity based on bipolaron mechanism leads to a better understanding of microscopic and macroscopic description. By presenting aspects of superconductivity now joined in a strict theory rather than separate models this work is especially useful for graduate students.
£72.68
De Gruyter Lecture Notes in Engineering: Introduction to Linearized Elasticity
Book SynopsisThese lecture notes deal with the behavior of elastic bodies subject to small displacement gradients, namely their linearized elastic response. The framework for describing the nonlinear response of elastic bodies is first put into place and then the linearization is carried out to delineate the status of the linearized theory of elasticity. Easy reading for upper-division and first-year engineering students is provided by a balanced combination of mathematical rigor and physical understanding. This lecture note grew out of a course that the author regularly teaches to undergraduate mechanical engineering students.
£54.62
Wiley-VCH Verlag GmbH Solidification of Containerless Undercooled Melts
Book SynopsisAll metallic materials are prepared from the liquid state as their parent phase. Solidification is therefore one of the most important phase transformation in daily human life. Solidification is the transition from liquid to solid state of matter. The conditions under which material is transformed determines the physical and chemical properties of the as-solidified body. The processes involved, like nucleation and crystal growth, are governed by heat and mass transport. Convection and undercooling provide additional processing parameters to tune the solidification process and to control solid material performance from the very beginning of the production chain. To develop a predictive capability for efficient materials production the processes involved in solidification have to be understood in detail. This book provides a comprehensive overview of the solidification of metallic melts processed and undercooled in a containerless manner by drop tube, electromagnetic and electrostatic levitation, and experiments in reduced gravity. The experiments are accompanied by model calculations on the influence of thermodynamic and hydrodynamic conditions that control selection of nucleation mechanisms and modify crystal growth development throughout the solidification process.Table of ContentsPREFACE CONTAINERLESS UNDERCOOLING OF DROPS AND DROPLETS Introduction Drop Tubes Containerless Processing Through Levitation Summary and Conclusions COMPUTER-AIDED EXPERIMENTS IN CONTAINERLESS PROCESSING OF MATERIALS Introduction Planning Experiments Operating Experiments Data Reduction, Analysis, Visualization, and Interpretation Conclusion DEMIXING OF CU - CO ALLOYS SHOWING A METASTABLE MISCIBILITY GAP Introduction Mechanism of Demixing Demixing Experiments in Terrestrial EML and in Low Gravity Demixing Experiments in a Drop Tube Spinodal Decomposition in Cu - Co Melts Conclusions SHORT-RANGE ORDER IN UNDERCOOLED MELTS Introduction Experiments on the Short-Range Order of Undercooled Melts Conclusions ORDERING AND CRYSTAL NUCLEATION IN UNDERCOOLED MELTS Introduction Nucleation Theory - Some Background Liquid Metal Undercooling Studies Coupling of Ordering in the Liquid to the Nucleation Barrier Conclusions PHASE-FIELD CRYSTAL MODELING OF HOMOGENEOUS AND HETEROGENEOUS CRYSTAL NUCLEATION Introduction Phase-Field Crystal Models Homogeneous Nucleation PFC Modeling of Heterogeneous NuCleation Summary EFFECTS OF TRANSIENT HEAT AND MASS TRANSFER ON COMPETITIVE NUCLEATION AND PHASE SELECTION IN DROP TUBE PROCESSING OF MULTICOMPONENT ALLOYS Introduction Model Effect of Transient Heat and Mass Transfer on Nucleation and Crystal Growth Competitive Nucleation and Phase Selection in Nd - Fe - B Droplets Summary CONTAINERLESS SOLIDIFICATION OF MAGNETIC MATERIALS USING THE ISAS/JAXA 26-METER DROP TUBE Introduction Drop Tube Process Undercooling Solidification of Fe - Rare Earth (RE) Magnetostriction Alloys Undercooling Solidification of Nd - Fe - B Magnet Alloys Concluding Remarks NUCLEATION AND SOLIDIFICATION KINETICS OF METASTABLE PHASES IN UNDERCOOLED MELTS Introduction Thermodynamic Aspects and Nucleation of Metastable Phases Metastable Phase Formation from Undercooled Melts in Various Alloy Systems Summary and Conclusions NUCLEATION WITHIN THE MUSHY ZONE Introduction Incubation Time Cluster Formation Transient Development of Heterogeneous Sites Comparing Critical Nucleus Development Mechanisms Concluding Remarks MEASUREMENTS OF CRYSTAL GROWTH VELOCITIES IN UNDERCOOLED MELTS OF METALS Introduction Experimental Methods Summary and Conclusions CONTAINERLESS CRYSTALLIZATION OF SEMICONDUCTORS Introduction Status of Research on Facetted Dendrite Growth Twin-Related Lateral Growth and Twin-free Continuous Growth Containerless Crystallization of Si Summery and Conclusion Appendix 12.A: LKT Model MEASUREMENTS OF CRYSTAL GROWTH DYNAMICS IN GLASS-FLUXED MELTS Introduction Methods and Experimental Set-Up Growth Velocities in Pure Ni Growth Velocities in Ni3Sn2 Compound Crystal Growth Dynamics in Ni - Sn Eutectic Alloys Opportunities with High Magnetic Fields Summary INFLUENCE OF CONVECTION ON DENDRITE GROWTH BY THE AC - DC LEVITATION TECHNIQUE Convection in a Levitated Melt Static Levitation Using the Alternating and Static Magnetic Field (AC - DC Levitation) Effect of Convection on Nucleation and Solidification MODELING THE FLUID DYNAMICS AND DENDRITIC SOLIDIFICATION IN EM-LEVITATED ALLOY MELTS 321 Introduction Mathematical Models for Levitation Thermofluid Dynamics Thermoelectric Magnetohydrodynamics in Levitated Droplets Concluding Remarks FORCED FLOW EFFECT ON DENDRITIC GROWTH KINETICS IN A BINARY NONISOTHERMAL SYSTEM Introduction Convective Flow in Droplets Processed in Electromagnetic Levitation The Model Equations Predictions of the Model Quantitative Evaluations Summary and Conclusions ATOMISTIC SIMULATIONS OF SOLUTE TRAPPING AND SOLUTE DRAG Introduction Models of Solute Trapping Solute Drag MD Simulations Implications for Dendrite Growth PARTICLE-BASED COMPUTER SIMULATION OF CRYSTAL NUCLEATION AND GROWTH KINETICS IN UNDERCOOLED MELTS Introduction Solid - Liquid Interfaces in Nickel Homogeneous Nucleation in Nickel Crystal Growth Conclusions SOLIDIFICATION MODELING: FROM ELECTROMAGNETIC LEVITATION TO ATOMIZATION PROCESSING Introduction Electromagnetic Levitation Impulse Atomization Modeling EML Sample IA Particles Conclusion PROPERTIES OF P-SI-GE THERMOELECTRICAL MATERIAL SOLIDIFIED FROM UNDERCOOLED MELT LEVITATED BY SIMULTANEOUS IMPOSITION OF STATIC AND ALTERNATING MAGNETIC FIELDS Introduction Simultaneous Imposition of Static and Alternating Magnetic Fields Experimental Results and Discussion Summary and Conclusions QUANTITATIVE ANALYSIS OF ALLOY STRUCTURES SOLIDIFIED UNDER LIMITED DIFFUSION CONDITIONS The Need for an Instrumented Drop Tube Description of IA Powder Characteristics Quantification of Microstructure Modeling COUPLED GROWTH STRUCTURES IN UNIVARIANT AND INVARIANT EUTECTIC SOLIDIFICATION Introduction Historical Perspective and Background Basic Theory of Eutectic Solidification Eutectic Solidification Theory for Ternary Systems Solidification Paths and Competitive Growth Considerations Recent Developments, Emerging Issues, and Critical Research Needs SOLIDIFICATION OF PERITECTIC ALLOYS Introduction Peritectic Equilibrium and Transformation Peritectic Reactions in the Ternary System Nucleation Studies Growth Conclusions
£160.16
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Explicit Stability Conditions for Continuous
Book SynopsisExplicit Stability Conditions for Continuous Systems deals with non-autonomous linear and nonlinear continuous finite dimensional systems. Explicit conditions for the asymptotic, absolute, input-to-state and orbital stabilities are discussed. This monograph provides new tools for specialists in control system theory and stability theory of ordinary differential equations, with a special emphasis on the Aizerman problem. A systematic exposition of the approach to stability analysis based on estimates for matrix-valued functions is suggested and various classes of systems are investigated from a unified viewpoint.Table of ContentsPreliminaries.- Perturbations of Linear Systems.- Linear Systems with Slowly Varying Coefficients.- Linear Dissipative and Piecewise Constant Systems.- Nonlinear Systems with Autonomous Linear Parts.- The Aizerman Problem.- Nonlinear Systems with Time-Variant Linear Parts.- Essentially Nonlinear Systems.- The Lur'e Type Systems.- The Aizerman Type Problem for Nonautonomous Systems.- Input - State Stability.- Orbital Stability and Forced Oscillations.- Positive and Nontrivial Steady States.
£85.49
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Wave Propagation in Viscoelastic and Poroelastic
Book SynopsisWave propagation is an important topic in engineering sciences, especially, in the field of solid mechanics. A description of wave propagation phenomena is given by Graff [98]: The effect of a sharply applied, localized disturbance in a medium soon transmits or 'spreads' to other parts of the medium. These effects are familiar to everyone, e.g., transmission of sound in air, the spreading of ripples on a pond of water, or the transmission of radio waves. From all wave types in nature, here, attention is focused only on waves in solids. Thus, solely mechanical disturbances in contrast to electro-magnetic or acoustic disturbances are considered. of waves - the compression wave similar to the In solids, there are two types pressure wave in fluids and, additionally, the shear wave. Due to continual reflec tions at boundaries and propagation of waves in bounded solids after some time a steady state is reached. Depending on the influence of the inertia terms, this state is governed by a static or dynamic equilibrium in frequency domain. However, if the rate of onset of the load is high compared to the time needed to reach this steady state, wave propagation phenomena have to be considered.Table of Contents1. Introduction.- 2. Convolution quadrature method.- 2.1 Basic theory of the convolution quadrature method.- 2.2 Numerical tests.- 2.2.1 Series expansion of the test functions f1 and f2.- 2.2.2 Computing the integration weights ?n.- 2.2.3 Numerical convolution.- 3. Viscoelastically supported Euler-Bernoulli beam.- 3.1 Integral equation for a beam resting on viscoelastic foundation.- 3.1.1 Fundamental solutions.- 3.1.2 Integral equation.- 3.2 Numerical example.- 3.2.1 Fixed-simply supported beam.- 3.2.2 Fixed-free viscoelastic supported beam.- 4. Time domain boundary element formulation.- 4.1 Integral equation for elastodynamics.- 4.2 Boundary element formulation for elastodynamics.- 4.3 Validation of proposed method: Wave propagation in a rod.- 4.3.1 Influence of the spatial and time discretization.- 4.3.2 Comparison with the “classical” time domain BE formulation.- 5. Viscoelastodynamic boundary element formulation.- 5.1 Viscoelastic constitutive equation.- 5.2 Boundary integral equation.- 5.3 Boundary element formulation.- 5.4 Validation of the method and parameter study.- 5.4.1 Three-dimensional rod.- 5.4.2 Elastic foundation on viscoelastic half space.- 6. Poroelastodynamic boundary element formulation.- 6.1 Biot’s theory of poroelasticity.- 6.1.1 Elastic skeleton.- 6.1.2 Viscoelastic skeleton.- 6.2 Fundamental solutions.- 6.3 Poroelastic Boundary Integral Formulation.- 6.3.1 Boundary integral equation.- 6.3.2 Boundary element formulation.- 6.4 Numerical studies.- 6.4.1 Influence of time step size and mesh size.- 6.4.2 Poroelastic half space.- 7. Wave propagation.- 7.1 Wave propagation in poroelastic one-dimensional column.- 7.1.1 Analytical solution.- 7.1.2 Poroelastic results.- 7.1.3 Poroviscoelastic results.- 7.2 Waves in half space.- 7.2.1 Rayleigh surface wave.- 7.2.2 Slow compressional wave in poroelastic half space.- 8. Conclusions — Applications.- 8.1 Summary.- 8.2 Outlook on further applications.- A. Mathematic preliminaries.- A.1 Distributions or generalized functions.- A.2 Convolution integrals.- A.3 Laplace transform.- A.4 Linear multistep method.- B. BEM details.- B.1 Fundamental solutions.- B.1.1 Visco- and elastodynamic fundamental solutions.- B.1.2 Poroelastodynamic fundamental solutions.- B.2 “Classical” time domain BE formulation.- Notation Index.- References.
£85.49
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Strukturdynamik: Band 2: Kontinua und ihre
Book SynopsisIm Band 2 der Strukturdynamik werden kontinuierliche Schwinger und numerische Verfahren zu ihrer Diskretisierung behandelt. In Spezialfällen, die dann aber prinzipielle Einsichten ermöglichen, gelingt eine analytische Lösung der Bewegungsgleichungen. Die jedoch in den meisten Fällen notwendigen Näherungsverfahren (Übertragungsmatrizen, Rayleigh-Ritz, Methode der finiten Elemente) werden auch erläutert und anhand von Beispielen aus der Ingenieurpraxis illustriert. Das Buch wurde als Lehrbuch für Hochschulen und Fachhochschulen konzipiert, eignet sich aber auch zum Selbststudium für Ingenieure in Forschung und Industrie.Table of Contents1 Einleitung.- 2 Analytische Lösungen einfacher schwingender Kontinua.- 2.1 Einleitung.- 2.2 Aufstellung und Lösung der Bewegungsdifferentialgleichung des schubstarren biegeelastischen Balkens.- 2.2.1 Differentialgleichung, Randbedingungen, Anfangsbedingungen.- 2.2.2 Lösung der Differentialgleichung und Einbau der Randbedingungen.- 2.2.3 Anpassung der Lösung an die Anfangsbedingungen.- 2.2.4 Zusammenfassung.- 2.3 Lösung der Bewegungsdifferentialgleichung bei harmonischer Erregung—eingeschwungener Zustand.- 2.4 Der biegeelastische Balken mit Zusatzeffekten.- 2.4.1 Elastisch gebetteter Biegebalken.- 2.4.2 Biegebalken mit axialer Normalkraft im Ausgangszustand.- 2.4.3 Der Biegebalken mit Schubelastizität und Drehträgheit (Timoshenko-Balken).- 2.4.4 Eigenfrequenzen des Biegebalkens mit Zusatzeffekten.- 2.4.5 Biegebalken mit Proportionaldämpfung.- 2.5 Ebene Flächentragwerke.- 2.5.1 Bewegungsgleichungen für Scheiben und Platten in kartesischen Koordinaten.- 2.5.2 Bewegungsgleichungen für ebene Flächentragwerke in Polarkoordinaten.- 2.5.3 Anmerkungen zu analytischen Lösungen bei Platten.- 2.6 Übungsaufgaben.- 3 Geschlossene Lösungen für Bewegungsvorgänge von Kontinua — Die Behandlung als modal entkoppeltes System.- 3.1 Einleitung.- 3.2 Orthogonalitätsbeziehungen für Balken mit einfachen Randbedingungen.- 3.3 Freie Schwingungen: Die Anpassung an die Anfangsbedingungen durch modales Vorgehen.- 3.4 Lösung für allgemeine, transiente Erregung.- 3.5 Harmonische Erregung—Resonanzverhalten in modaler Darstellung.- 3.6 Dämpfungseinfluß.- 3.7 Bilanz zur modalen Betrachtungsweise und Verallgemeinerung.- 3.8 Übungsaufgaben.- 4 Das Verfahren der Übertragungsmatrizen.- 4.1 Einleitung.- 4.2 Einige Übertragungsmatrizen.- 4.3 Das Übertragungsschema zur Eigenfrequenz- und Eigenformberechnung.- 4.4 Weiche, steife und starre Zwischenstützen.- 4.5 Erzwungene, periodische Schwingungen.- 4.6 Harmonische Erregung in einer kettenförmigen Struktur mit Grenzen im Unendlichen.- 4.7 Gesamtgleichungssystem und verzweigte Strukturen.- 4.8 Numerische Schwierigkeiten.- 4.9 Vorzüge und Grenzen des Übertragungsmatrizenverfahrens.- 4.10 Übungsaufgaben.- 5 Energieformulierungen als Grundlage für Näherungsverfahren.- 5.1 Das Prinzip der virtuellen Verrückungen für Durchlaufträger und ebene Rahmentragwerke.- 5.1.1 Formulierung des Prinzips der virtuellen Verrückungen.- 5.1.2 Gleichwertigkeit des Prinzips der virtuellen Verrückungen mit den Gleichgewichtsbedingungen.- 5.1.3 Weitere Umformung des PdvV.- 5.1.4 Zulässige Verschiebungszuständes.- 5.1.5 Das Prinzip der virtuellen Verrückungen für ebene Rahmentragwerke.- 5.2 Ableitung der Orthogonalitätsrelationen mit Hilfe des Prinzips der virtuellen Verrückungen.- 5.3 Prinzip der virtuellen Verrückungen für andere Kontinua.- 5.3.1 Nicht-dünnwandiger, räumlicher Stab mit doppelt-symmetrischem Querschnitt.- 5.3.2 Orthotrope , schubstarre Platte.- 5.3.3 Schubweiche Platte.- 5.3.4 Schubweiche Platte in Polarkoordinaten.- 5.3.5 Andere Kontinua.- 5.4 Übungsaufgaben.- 6 Der Rayleigh-Quotient und das Ritzsche Verfahren.- 6.1 Der Rayleigh-Quotient.- 6.1.1 Definition des Rayleigh-Quotienten.- 6.1.2 Minimaleigenschaft des Rayleigh-Quotienten.- 6.1.3 Rayleigh-Quotient für höhere Eigenfrequenzen.- 6.1.4 Möglichkeiten zur Verbesserung der Ansatzfunktionen.- 6.2 Das Ritzsche Verfahren zur Eigenschwingungsberechnung.- 6.2.1 Grundgedanke des Ritzchen Verfahrens.- 6.2.2 Beispielrechnung.- 6.2.3 Minimaleigenschaften der mit dem Ritzschen Verfahren ermittelten Eigenfrequenzen. Genauigkeit und Konvergenzeigenschaften.- 6.3 Übungsaufgaben.- 7 Die Methode der finiten Elemente.- 7.1 Einleitung.- 7.2 Methode der finiten Elemente für Durchlaufträger (Stabzüge).- 7.2.1 Zerlegung in Einzelelemente.- 7.2.2 Behandlung der Einzelelemente eines Durchlaufträgers.- 7.2.3 Zusammenbau der Einzelelemente zum Gesamtsystem.- 7.2.4 Praktisches Vorgehen zum Aufstellen der Systemmatrizen und -vektoren (Indextafel-Organisation).- 7.2.5 Schnittkraftermittlung.- 7.2.6 Zusammenfassung.- 7.3 Methode der finiten Elemente für ebene und räumliche Rahmentragwerke.- 7.3.1 Voraussetzungen.- 7.3.2 Elementmatrizen und Elementvektoren.- 7.3.3 Koordinatentransformation.- 7.3.4 Gelenke und Mechanismen, Zwangsbedingungen.- 7.4 Elementmatrizen für Stäbe mit Schubweichheit, Drehmassenbelegung und Vorspannung.- 7.5 Finite-Element-Verfahren für Platten.- 7.5.1 Vorbemerkung.- 7.5.2 Elementmatrizen für schubstarre Platten.- 7.5.3 Elementmatrizen für schubweiche Platten.- 7.6 Finite-Element-Verfahren auf der Grundlage gemischt-hybrider Arbeitsausdrücke.- 7.7 Übungsaufgaben.- 8 Ausnutzung von Symmetrieeigenschaften.- 8.1 Ein einfaches Beispiel.- 8.2 Allgemeine Regeln für die Ausnutzung von Symmetrieeigenschaften bei dreidimensionalen Strukturen.- 8.3 Berechnung der Eigenschwingungen eines Radsatzes bei Ausnutzung von Symmetrieeigenschaften.- 8.4 Übungsaufgaben.- 9 Reduktion der Zahl der Freiheitsgrade.- 9.1 Der Formalismus der Reduktion.- 9.2 Statische Kondensation.- 9.3 Die modale Kondensation unter Verwendung eines benachbarten, konservativen Hilfssystems.- 9.4 Gemischte statische und modale Kondensation zur Beibehaltung wichtiger physikalischer Freiheitsgrade im reduzierten System.- 9.5 Vergleich der drei Reduktionsverfahren.- 9.6 Kondensation bei Systemen mit lokalen Nichtlinearitäten.- 9.7 Übungsaufgaben.- 10 Substrukturtechniken.- 10.1 Vorbemerkung.- 10.2 Modale Synthese bei Verwendung von Substrukturen, die an den Koppelstellen gefesselt sind.- 10.3 Ergebnisse der Berechnung eines realen Rotor-Fundament-Systems.- 10.4 Modale Synthese bei Verwendung von Substrukturen mit freien Koppelstellen.- 10.4.1 Ein einfaches Beispiel.- 10.4.2 Modale Synthese für unverschiebliche Substrukturen mit freien Koppelstellen.- 10.4.3 Die Modification des Verfahrens nach Craig und Chang.- 10.5 Genauigkeit und Konvergenzverhalten bei der modalen Synthese.- 10.6 Übersicht über die modalen Syntheseverfahren.- 10.7 Übungsaufgaben.- 11 Bewegungsgleichungen von rotierenden elastischen Strukturen.- 11.1 Bewegungsgleichungen des rotierenden Punktmassenmodells.- 11.1.1 Mechanisches Modell.- 11.1.2 Kinematik des Massepunktes.- 11.1.3 Auswertung der Massenterme des Prinzips der virtuellen Verrückungen.- 11.1.4 Gesamtgleichungssystem der rotierenden Punktmassenstruktur.- 11.1.5 Diskussion der Beweigungsgleichungen.- 11.2 Bewegungsgleichungen der rotierenden Struktur mit kontinuierlicher Massenverteilung—konsistente Modellierung.- 11.2.1 Mechanisches Modell.- 11.2.2 Kinematik des Massepunktes.- 11.2.3 Auswertung der Massenintegralterme des Prinzips der virtuellen Verrückungen.- 11.2.4 Finite-Element-Diskretisierung.- 11.2.5 Gesamtgleichungssystem der rotierenden Struktur.- 11.3 Modale Kondensation zur Reduktion der Zahl der Freiheitsgrade der rotierenden Struktur.- 11.4 Bewegungsgleichungen von gekoppelten rotierenden und nicht rotierenden Strukturen.- 11.5 Übungsaufgaben.- 12 Stabilität von periodisch zeitvarianten Systemen — Parametererregung.- 12.1 Vorbetrachtung: Pendel mit bewegtem Aufhängepunkt; Stabilität der Mathieuschen Differentialgleichungen.- 12.2 Parameterresonanzen bei Mehr-Freiheitsgradsystemen.- 12.3 Stabilitätsuntersuchung nach Floquet.- 12.4 Stabilitätsuntersuchung nach Hill.- 12.5 Kleiner Vergleich der Stabilitätsuntersuchungen nach Floquet und Hill.- 13 Lösungen zu den Übungsaufgaben.- Symbole und Bezeichnungen.- Literatur.
£42.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Nonlinear Continuum Mechanics of Solids: Fundamental Mathematical and Physical Concepts
Book SynopsisThe aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to bring young researchers rapidly close to their research area. Accordingly, emphasis is given to concepts of permanent interest, and details of minor importance are omitted. The formulation is achieved systematically in absolute tensor notation, which is almost exclusively used in modern literature. This mathematical tool is presented such that study of the book is possible without permanent reference to other works.Table of Contents1 Mathematical fundamentals.- 2 Deformation.- 3 Stresses.- 4 Time derivative.- 5 Balance laws.- 6 Constitutive modelling.- Appendix 1.- A1.1 Index notation.- A1.2 Metric tensor and geometrical properties.- A1.3 Vector decompositions, tensor components of first order.- A1.4 Definition of higher-order tensor components.- A1.5 Permutation tensor.- A1.6 Christoffel symbols, covariant differentiation.- References.
£85.49
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Partial Differential Equations in Mechanics 2: The Biharmonic Equation, Poisson’s Equation
Book SynopsisThis two-volume work focuses on partial differential equations (PDEs) with important applications in mechanical and civil engineering, emphasizing mathematical correctness, analysis, and verification of solutions. The presentation involves a discussion of relevant PDE applications, its derivation, and the formulation of consistent boundary conditions.Table of Contents8. The biharmonic equation.- 9. Poisson’s equation.
£85.49
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Spacecraft Structures
Book SynopsisSpace flight is a comprehensive and innovative part of technology. It encompasses many fields of technology. This monograph presents a cross section of the total field of expertise that is called "space flight". It provides an optimal reference with insight into the design, construction and analysis aspects of spacecraft. The emphasis of this book is put on unmanned space flight, particularly on the construction of spacecraft rather than the construction of launch vehicles.Table of ContentsGeneral.- Design Process.- Launch Vehicle Systems.- Spacecraft Subsystems.- Design and Safety factors.- Spacecraft Design Loads.- Test Verification.- Design of Spacecraft structure.- Strength and Stiffness of Structural Elements.- Sandwich Construction.- Finite Element Analysis.- Stiffness/Flexibility Analysis.- Material Selection.- Spacecraft Mass.- Natural Frequencies, an Approximation.- Modal Effective Mass.- Dynamic Model Reduction Methods.- Dynamic Substructuring, Component Mode Synthesis.- Output Transformation Matrices.- Coupled Dynamic Loads Analysis.- Random Vibrations Simplified Response Analysis.- Fatigue Life Prediction.- Shock-Response Spectrum.- Damage to Spacecraft by Meteoroids and Orbital Debris.- Prescribed Averaged Temperatures.- Thermal-elastic Stresses.- Coefficients of thermal & moisture expansion.- Venting Holes.- Examples.
£208.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Magnetic Bearings: Theory, Design, and Application to Rotating Machinery
Book SynopsisCompiling the expertise of nine pioneers of the field, Magnetic Bearings - Theory, Design, and Application to Rotating Machinery offers an encyclopedic study of this rapidly emerging field with a balanced blend of commercial and academic perspectives. Every element of the technology is examined in detail, beginning at the component level and proceeding through a thorough exposition of the design and performance of these systems. The book is organized in a logical fashion, starting with an overview of the technology and a survey of the range of applications. A background chapter then explains the central concepts of active magnetic bearings while avoiding a morass of technical details. From here, the reader continues to a meticulous, state-of-the-art exposition of the component technologies and the manner in which they are assembled to form the AMB/rotor system. These system models and performance objectives are then tied together through extensive discussions of control methods for both rigid and flexible rotors, including consideration of the problem of system dynamics identification. Supporting this, the issues of system reliability and fault management are discussed from several useful and complementary perspectives. At the end of the book, numerous special concepts and systems, including micro-scale bearings, self-bearing motors, and self-sensing bearings, are put forth as promising directions for new research and development. Newcomers to the field will find the material highly accessible while veteran practitioners will be impressed by the level of technical detail that emerges from a combination of sophisticated analysis and insights gleaned from many collective years of practical experience. An exhaustive, self-contained text on active magnetic bearing technology, this book should be a core reference for anyone seeking to understand or develop systems using magnetic bearings.Table of Contentsand Survey.- Principle of Active Magnetic Suspension.- Hardware Components.- Actuators.- Losses in Magnetic Bearings.- Design Criteria and Limiting Characteristics.- Dynamics of the Rigid Rotor.- Control of the Rigid Rotor in AMBs.- Digital Control.- Dynamics of Flexible Rotors.- Identification.- Control of Flexible Rotors.- Touch-down Bearings.- Dynamics and Control Issues for Fault Tolerance.- Self#x2013;Sensing Magnetic Bearings.- Self#x2013;Bearing Motors.- Micro Magnetic Bearings.- Safety and Reliability Aspects.
£170.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Fundamentals of Shock Wave Propagation in Solids
Book SynopsisMy intent in writing this book is to present an introduction to the thermo- chanical theory required to conduct research and pursue applications of shock physics in solid materials. Emphasis is on the range of moderate compression that can be produced by high-velocity impact or detonation of chemical exp- sives and in which elastoplastic responses are observed and simple equations of state are applicable. In the interest of simplicity, the presentation is restricted to plane waves producing uniaxial deformation. Although applications often - volve complex multidimensional deformation fields it is necessary to begin with the simpler case. This is also the most important case because it is the usual setting of experimental research. The presentation is also restricted to theories of material response that are simple enough to permit illustrative problems to be solved with minimal recourse to numerical analysis. The discussions are set in the context of established continuum-mechanical principles. I have endeavored to define the quantities encountered with some care and to provide equations in several convenient forms and in a way that lends itself to easy reference. Thermodynamic analysis plays an important role in continuum mechanics, and I have included a presentation of aspects of this subject that are particularly relevant to shock physics. The notation adopted is that conventional in expositions of modern continuum mechanics, insofar as possible, and variables are explained as they are encountered. Those experienced in shock physics may find some of the notation unconventional.Table of ContentsMechanical Principles.- Plane Longitudinal Shocks.- Material Response I: Principles.- Material Response II: Inviscid Compressible Fluids.- Material Response III: Elastic Solids.- Material Response IV: Elastic-Plastic and Elastic-Viscoplastic Solids.- Weak Elastic Waves.- Finite-amplitude Elastic Waves.- Elastic-Plastic and Elastic-Viscoplastic Waves.- Porous Solids.- Spall Fracture.- Steady Detonation Waves.
£54.99