{"product_id":"dynamics-for-engineers-9780470868447","title":"Dynamics for Engineers","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eModelling and analysis of dynamical systems is a widespread practice as it is important for engineers to know how a given physical or engineering system will behave under specific circumstances.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cb\u003ePreface.\u003c\/b\u003e  \u003cp\u003e\u003cb\u003e1   Introduction to System Elements.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1   Introduction.\u003c\/p\u003e \u003cp\u003e1.2   Chapter summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2   The Newtonian Method.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1   The Configuration Space.\u003c\/p\u003e \u003cp\u003e2.2   Constraints.\u003c\/p\u003e \u003cp\u003e2.3   Differential Equations from Newtons Laws.\u003c\/p\u003e \u003cp\u003e2.4   Practical Difficulties with the Newtonian Formalism.\u003c\/p\u003e \u003cp\u003e2.5   Chapter Summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3   Differential Equations by Kirchoff’s Laws.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1   Kirchoff’s Laws about Current and Voltage.\u003c\/p\u003e \u003cp\u003e3.2   The Mesh Current and Node Voltage Methods.\u003c\/p\u003e \u003cp\u003e3.3   Using Graph Theory to Obtain the Minimal Set of Equations.\u003c\/p\u003e \u003cp\u003e3.4   Chapter Summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4   The Lagrangian Formalism.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1   Elements of the Lagrangian Approach.\u003c\/p\u003e \u003cp\u003e4.2   Obtaining Dynamical Equations by Lagrangian Method.\u003c\/p\u003e \u003cp\u003e4.3   The Principle of Least Action.\u003c\/p\u003e \u003cp\u003e4.4   Lagrangian Method Applied to Electrical Circuits.\u003c\/p\u003e \u003cp\u003e4.5   Systems with External Forces or Electromotive Forces.\u003c\/p\u003e \u003cp\u003e4.6   Systems with Resistance or Friction.\u003c\/p\u003e \u003cp\u003e4.7   Accounting for Current Sources.\u003c\/p\u003e \u003cp\u003e4.8   Modeling Mutual Inductances.\u003c\/p\u003e \u003cp\u003e4.9   A General Methodology for Electrical Networks.\u003c\/p\u003e \u003cp\u003e4.10 Modeling Coulomb Friction.\u003c\/p\u003e \u003cp\u003e4.11 Chapter Summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5   Obtaining First Order Equations.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1   First Order Equations from the Lagrangian Method.\u003c\/p\u003e \u003cp\u003e5.2   The Hamiltonian Formalism.\u003c\/p\u003e \u003cp\u003e5.3   Chapter Summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6   The Language of Bond Graphs.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1   Introduction.\u003c\/p\u003e \u003cp\u003e6.2   The Basic Concept.\u003c\/p\u003e \u003cp\u003e6.3   One-port Elements.\u003c\/p\u003e \u003cp\u003e6.4   The Junctions.\u003c\/p\u003e \u003cp\u003e6.5   Junctions in Mechanical Systems.\u003c\/p\u003e \u003cp\u003e6.6   Numbering of Bonds.\u003c\/p\u003e \u003cp\u003e6.7   Reference Power Directions.\u003c\/p\u003e \u003cp\u003e6.8   Two-port Elements.\u003c\/p\u003e \u003cp\u003e6.9   The Concept of Causality.\u003c\/p\u003e \u003cp\u003e6.10 Differential Causality.\u003c\/p\u003e \u003cp\u003e6.11 Obtaining Differential Equations from Bond Graphs.\u003c\/p\u003e \u003cp\u003e6.12 Alternative Methods of Creating System Bond Graphs.\u003c\/p\u003e \u003cp\u003e6.13 Algebraic Loops.\u003c\/p\u003e \u003cp\u003e6.14 Fields.\u003c\/p\u003e \u003cp\u003e6.15 Activation.\u003c\/p\u003e \u003cp\u003e6.16 Equations for Systems with Differential Causality.\u003c\/p\u003e \u003cp\u003e6.17 Bond Graph Software.\u003c\/p\u003e \u003cp\u003e6.18 Chapter Summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7   Numerical Solution of Differential Equations.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1   The Basic Method, and the Techniques of Approximation.\u003c\/p\u003e \u003cp\u003e7.2   Methods to Balance Accuracy and Computation Time.\u003c\/p\u003e \u003cp\u003e7.3   Chapter Summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8   Dynamics in the State Space.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1   The State Space.\u003c\/p\u003e \u003cp\u003e8.2   Vector Field.\u003c\/p\u003e \u003cp\u003e8.3   Local Linearization Around Equilibrium Points.\u003c\/p\u003e \u003cp\u003e8.4   Chapter Summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9   Linear Differential Equations.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1   Solution of a First-Order Linear Differential Equation.\u003c\/p\u003e \u003cp\u003e9.2   Solution of a System of Two First-Order Linear Differential Equations.\u003c\/p\u003e \u003cp\u003e9.3   Eigenvalues and Eigenvectors.\u003c\/p\u003e \u003cp\u003e9.4   Using Eigenvalues and Eigenvectors for Solving Differential Equations\u003c\/p\u003e \u003cp\u003e9.5   Solution of a Single Second Order Differential Equation.\u003c\/p\u003e \u003cp\u003e9.6   Systems with Higher Dimensions.\u003c\/p\u003e \u003cp\u003e9.7   Chapter Summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10   Linear systems with external input.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1  Constant external input.\u003c\/p\u003e \u003cp\u003e10.2  When the forcing function is a square wave.\u003c\/p\u003e \u003cp\u003e10.3  Sinusoidal forcing function.\u003c\/p\u003e \u003cp\u003e10.4  Other forms of excitation function.\u003c\/p\u003e \u003cp\u003e10.5  Chapter Summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11   Dynamics of Nonlinear Systems.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1  All systems of practical interest are nonlinear.\u003c\/p\u003e \u003cp\u003e11.2  Vector Fields for Nonlinear Systems.\u003c\/p\u003e \u003cp\u003e11.3  Attractors in nonlinear systems.\u003c\/p\u003e \u003cp\u003e11.4  Different types of periodic orbits in a nonlinear system.\u003c\/p\u003e \u003cp\u003e11.5  Chaos.\u003c\/p\u003e \u003cp\u003e11.6  Quasiperiodicity.\u003c\/p\u003e \u003cp\u003e11.7  Stability of limit cycles.\u003c\/p\u003e \u003cp\u003e11.8  Chapter Summary.\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12   Discrete-time Dynamical Systems.\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1  The Poincar´e Section.\u003c\/p\u003e \u003cp\u003e12.2  Obtaining a discrete-time model.\u003c\/p\u003e \u003cp\u003e12.3  Dynamics of Discrete-Time Systems.\u003c\/p\u003e \u003cp\u003e12.4  One-dimensional maps.\u003c\/p\u003e \u003cp\u003e12.5  Bifurcations.\u003c\/p\u003e \u003cp\u003e12.6  Saddle-node bifurcation.\u003c\/p\u003e \u003cp\u003e12.7  Period-doubling bifurcation.\u003c\/p\u003e \u003cp\u003e12.8  Periodic windows.\u003c\/p\u003e \u003cp\u003e12.9  Two-dimensional maps.\u003c\/p\u003e \u003cp\u003e12.10 Bifurcations in 2-D discrete-time systems.\u003c\/p\u003e \u003cp\u003e12.11 Global dynamics of discrete-time systems.\u003c\/p\u003e \u003cp\u003e12.12 Chapter Summary.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":51037069214039,"sku":"9780470868447","price":53.15,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780470868447.jpg?v=1750934250","url":"https:\/\/bookcurl.com\/products\/dynamics-for-engineers-9780470868447","provider":"Book Curl","version":"1.0","type":"link"}