{"product_id":"computer-models-of-process-dynamics-9781119885658","title":"Computer Models of Process Dynamics","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cb\u003eCOMPUTER MODELS OF PROCESS DYNAMICS\u003c\/b\u003e \u003cp\u003e\u003cb\u003eComprehensive overview of techniques for describing physical phenomena by means of computer models that are determined by mathematical analysis\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003e\u003ci\u003eComputer Models of Process Dynamics\u003c\/i\u003e covers everything required to do computer based mathematical modeling of dynamic systems, including an introduction to a scientific language, its use to program essential operations, and methods to approximate the integration of continuous signals.  \u003c\/p\u003e\u003cp\u003eFrom a practical standpoint, readers will learn how to build computer models that simulate differential equations. They are also shown how to model physical objects of increasing complexity, where the most complex objects are simulated by finite element models, and how to follow a formal procedure in order to build a valid computer model. To aid in reader comprehension, a series of case studies is presented that covers myriad different topics to provide a view of the challenges that fall within this\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003ePreface xiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction \u003c\/b\u003e\u003cb\u003e1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Engineering uses of computer models 1\u003c\/p\u003e \u003cp\u003e1.1.1 Mission statement 2\u003c\/p\u003e \u003cp\u003e1.2 The subject matter 3\u003c\/p\u003e \u003cp\u003e1.3 Mathematical material 4\u003c\/p\u003e \u003cp\u003e1.4 Some remarks 5\u003c\/p\u003e \u003cp\u003eBibliography 5\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 From Computer Hardware to Software \u003c\/b\u003e\u003cb\u003e7\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Introduction 7\u003c\/p\u003e \u003cp\u003e2.2 Computing machines 7\u003c\/p\u003e \u003cp\u003e2.2.1 The software interface 8\u003c\/p\u003e \u003cp\u003e2.3 Computer programming 9\u003c\/p\u003e \u003cp\u003e2.3.1 Algebraic expressions 10\u003c\/p\u003e \u003cp\u003e2.3.2 Math functions 13\u003c\/p\u003e \u003cp\u003e2.3.3 Computation loops 14\u003c\/p\u003e \u003cp\u003e2.3.4 Decision making 16\u003c\/p\u003e \u003cp\u003e2.3.5 Graphics 17\u003c\/p\u003e \u003cp\u003e2.3.6 User defined functions 17\u003c\/p\u003e \u003cp\u003e2.4 State transition machines 17\u003c\/p\u003e \u003cp\u003e2.4.1 A binary signal generator 18\u003c\/p\u003e \u003cp\u003e2.4.2 Operational control of an industrial plant 24\u003c\/p\u003e \u003cp\u003e2.5 Difference engines 25\u003c\/p\u003e \u003cp\u003e2.5.1 Difference equation to calculate compound interest 26\u003c\/p\u003e \u003cp\u003e2.6 Iterative programming 27\u003c\/p\u003e \u003cp\u003e2.6.1 Inverse functions 29\u003c\/p\u003e \u003cp\u003e2.7 Digital simulation of differential equations 30\u003c\/p\u003e \u003cp\u003e2.7.1 Rectangular integration 31\u003c\/p\u003e \u003cp\u003e2.7.2 Trapezoidal integration 33\u003c\/p\u003e \u003cp\u003e2.7.3 Second-order integration 35\u003c\/p\u003e \u003cp\u003e2.7.4 An Example 36\u003c\/p\u003e \u003cp\u003e2.8 Discussion 37\u003c\/p\u003e \u003cp\u003eExercises 38\u003c\/p\u003e \u003cp\u003eReferences 41\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Creative thinking and scientific theories \u003c\/b\u003e\u003cb\u003e43\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Introduction 43\u003c\/p\u003e \u003cp\u003e3.2 The dawn of astronomy 44\u003c\/p\u003e \u003cp\u003e3.3 The renaissance 45\u003c\/p\u003e \u003cp\u003e3.3.1 Galileo 45\u003c\/p\u003e \u003cp\u003e3.3.2 Newton 46\u003c\/p\u003e \u003cp\u003e3.4 Electromagnetism 49\u003c\/p\u003e \u003cp\u003e3.4.1 Magnetic fields 50\u003c\/p\u003e \u003cp\u003e3.4.2 Electromagnetic induction 50\u003c\/p\u003e \u003cp\u003e3.4.3 Electromagnetic radiation 51\u003c\/p\u003e \u003cp\u003e3.5 Aerodynamics 52\u003c\/p\u003e \u003cp\u003e3.5.1 Vector flow fields 53\u003c\/p\u003e \u003cp\u003e3.6 Discussion 54\u003c\/p\u003e \u003cp\u003eReferences 56\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Calculus and the computer \u003c\/b\u003e\u003cb\u003e57\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Introduction 57\u003c\/p\u003e \u003cp\u003e4.2 Mathematical solution of differential equations 58\u003c\/p\u003e \u003cp\u003e4.3 From physical analogs to analog computers 60\u003c\/p\u003e \u003cp\u003e4.4 Picard’s method for solving a nonlinear differential equation 61\u003c\/p\u003e \u003cp\u003e4.4.1 Mechanization of Picard’s method 62\u003c\/p\u003e \u003cp\u003e4.4.2 Feedback model of the differential equation 62\u003c\/p\u003e \u003cp\u003e4.4.3 Approximate solution by Taylor series 64\u003c\/p\u003e \u003cp\u003e4.5 Exponential functions and linear differential equations 65\u003c\/p\u003e \u003cp\u003e4.5.1 Taylor series to approximate exponential functions 66\u003c\/p\u003e \u003cp\u003e4.6 Sinusoidal functions and phasors 67\u003c\/p\u003e \u003cp\u003e4.6.1 Taylor series to approximate sinusoids 69\u003c\/p\u003e \u003cp\u003e4.7 Bessel’s equation 70\u003c\/p\u003e \u003cp\u003e4.8 Discussion 72\u003c\/p\u003e \u003cp\u003eExercises 73\u003c\/p\u003e \u003cp\u003eBibliography 74\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Science and computer models \u003c\/b\u003e\u003cb\u003e75\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Introduction 75\u003c\/p\u003e \u003cp\u003e5.2 A planetary orbit around a stationary Sun 76\u003c\/p\u003e \u003cp\u003e5.2.1 An analytic solution for planetary orbits 79\u003c\/p\u003e \u003cp\u003e5.2.2 A difference equation to model planetary orbits 80\u003c\/p\u003e \u003cp\u003e5.3 Simulation of a swinging pendulum 81\u003c\/p\u003e \u003cp\u003e5.3.1 A graphical construction to show the motion of a pendulum 83\u003c\/p\u003e \u003cp\u003e5.3.2 Truncation and roundoff errors 84\u003c\/p\u003e \u003cp\u003e5.4 Lagrange’s equations of motion 85\u003c\/p\u003e \u003cp\u003e5.4.1 A double pendulum 87\u003c\/p\u003e \u003cp\u003e5.4.2 A few comments 90\u003c\/p\u003e \u003cp\u003e5.4.3 Modes of motion of a double pendulum 90\u003c\/p\u003e \u003cp\u003e5.4.4 Structural vibrations in an aircraft 91\u003c\/p\u003e \u003cp\u003e5.5 Discussion 94\u003c\/p\u003e \u003cp\u003eExercises 94\u003c\/p\u003e \u003cp\u003eBibliography 95\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Flight simulators \u003c\/b\u003e\u003cb\u003e97\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Introduction 97\u003c\/p\u003e \u003cp\u003e6.2 The motion of an aircraft 98\u003c\/p\u003e \u003cp\u003e6.2.1 The equations of motion 99\u003c\/p\u003e \u003cp\u003e6.3 Short period pitching motion 101\u003c\/p\u003e \u003cp\u003e6.3.1 Case study of short period pitching motion 104\u003c\/p\u003e \u003cp\u003e6.3.2 State equations of short period pitching 105\u003c\/p\u003e \u003cp\u003e6.3.3 Transfer functions of short period pitching 107\u003c\/p\u003e \u003cp\u003e6.3.4 Frequency response of short period pitching 108\u003c\/p\u003e \u003cp\u003e6.4 Phugoid motion 110\u003c\/p\u003e \u003cp\u003e6.5 User interfaces 111\u003c\/p\u003e \u003cp\u003e6.6 Discussion 112\u003c\/p\u003e \u003cp\u003eExercises 113\u003c\/p\u003e \u003cp\u003eBibliography 114\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Finite element models and the diffusion of heat \u003c\/b\u003e\u003cb\u003e115\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Introduction 115\u003c\/p\u003e \u003cp\u003e7.2 A thermal model 117\u003c\/p\u003e \u003cp\u003e7.2.1 A finite element model based on an electrical ladder network 118\u003c\/p\u003e \u003cp\u003e7.2.2 Free settling from an initial temperature profile 119\u003c\/p\u003e \u003cp\u003e7.2.3 Step response test 121\u003c\/p\u003e \u003cp\u003e7.2.4 State space model of diffusion 126\u003c\/p\u003e \u003cp\u003e7.3 A practical application 129\u003c\/p\u003e \u003cp\u003e7.4 Two-dimensional steady-state model 131\u003c\/p\u003e \u003cp\u003e7.5 Discussion 132\u003c\/p\u003e \u003cp\u003eExercises 134\u003c\/p\u003e \u003cp\u003eBibliography 135\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Wave equations \u003c\/b\u003e\u003cb\u003e137\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Introduction 137\u003c\/p\u003e \u003cp\u003e8.2 Energy storage mechanisms 138\u003c\/p\u003e \u003cp\u003e8.2.1 Partial differential equation describing propagation in a transmission line 140\u003c\/p\u003e \u003cp\u003e8.3 A finite element model of a transmission line 141\u003c\/p\u003e \u003cp\u003e8.4 State space model of a standing wave in a vibrating system 145\u003c\/p\u003e \u003cp\u003e8.4.1 State space model of a multiple compound pendulum 147\u003c\/p\u003e \u003cp\u003e8.5 A two-dimensional electromagnetic field 148\u003c\/p\u003e \u003cp\u003e8.6 A two-dimensional potential flow model 151\u003c\/p\u003e \u003cp\u003e8.7 Discussion 155\u003c\/p\u003e \u003cp\u003eExercises 156\u003c\/p\u003e \u003cp\u003eBibliography 159\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Uncertainty and softer science \u003c\/b\u003e\u003cb\u003e161\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Introduction 161\u003c\/p\u003e \u003cp\u003e9.2 Empirical and “black box” models 162\u003c\/p\u003e \u003cp\u003e9.2.1 An imperfect model of a simple physical object 163\u003c\/p\u003e \u003cp\u003e9.2.2 Finite impulse response models 164\u003c\/p\u003e \u003cp\u003e9.3 Randomness within computer models 166\u003c\/p\u003e \u003cp\u003e9.3.1 Random number generators and data analysis 167\u003c\/p\u003e \u003cp\u003e9.3.2 Statistical estimation and the method of least squares 168\u003c\/p\u003e \u003cp\u003e9.3.3 A state estimator 171\u003c\/p\u003e \u003cp\u003e9.3.4 A velocity estimator 175\u003c\/p\u003e \u003cp\u003e9.3.5 An FIR filter 176\u003c\/p\u003e \u003cp\u003e9.4 Economic, Geo-, Bio-, and other sciences 179\u003c\/p\u003e \u003cp\u003e9.4.1 A pricing strategy 181\u003c\/p\u003e \u003cp\u003e9.4.2 The productivity of money 184\u003c\/p\u003e \u003cp\u003e9.4.3 Comments on business models 187\u003c\/p\u003e \u003cp\u003e9.5 Digital images 189\u003c\/p\u003e \u003cp\u003e9.5.1 An image processor 190\u003c\/p\u003e \u003cp\u003e9.6 Discussion 193\u003c\/p\u003e \u003cp\u003eExercises 194\u003c\/p\u003e \u003cp\u003eBibliography 196\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Computer models in a development project \u003c\/b\u003e\u003cb\u003e197\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Introduction 197\u003c\/p\u003e \u003cp\u003e10.1.1 The scope of this chapter 198\u003c\/p\u003e \u003cp\u003e10.2 A motor drive model 198\u003c\/p\u003e \u003cp\u003e10.2.1 A conceptual model 200\u003c\/p\u003e \u003cp\u003e10.2.2 The motor drive parameters 202\u003c\/p\u003e \u003cp\u003e10.2.3 Creating the simulation model 203\u003c\/p\u003e \u003cp\u003e10.2.4 The electrical and mechanical subsystems 204\u003c\/p\u003e \u003cp\u003e10.2.5 System integration 206\u003c\/p\u003e \u003cp\u003e10.2.6 Configuration management 208\u003c\/p\u003e \u003cp\u003e10.3 The definition phase 208\u003c\/p\u003e \u003cp\u003e10.3.1 Selection of the motor 209\u003c\/p\u003e \u003cp\u003e10.3.2 Simulation of load disturbances 210\u003c\/p\u003e \u003cp\u003e10.4 The design phase 213\u003c\/p\u003e \u003cp\u003e10.4.1 Calculation of frequency response 213\u003c\/p\u003e \u003cp\u003e10.4.2 The current control loop 214\u003c\/p\u003e \u003cp\u003e10.4.3 Design review and further actions 217\u003c\/p\u003e \u003cp\u003e10.4.4 Rate feedback 219\u003c\/p\u003e \u003cp\u003e10.5 A setback to the project 222\u003c\/p\u003e \u003cp\u003e10.5.1 Elastic coupling between motor and load 222\u003c\/p\u003e \u003cp\u003e10.6 Discussion 227\u003c\/p\u003e \u003cp\u003eExercises 229\u003c\/p\u003e \u003cp\u003eBibliography 230\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Postscript \u003c\/b\u003e\u003cb\u003e231\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Looking back 231\u003c\/p\u003e \u003cp\u003e11.2 The operation of a simulation facility 233\u003c\/p\u003e \u003cp\u003e11.3 Looking forward 234\u003c\/p\u003e \u003cp\u003eBibliography 235\u003c\/p\u003e \u003cp\u003eAppendix A Frequency response methods 237\u003c\/p\u003e \u003cp\u003eAppendix B Vector analysis 261\u003c\/p\u003e \u003cp\u003eAppendix C Scalar and vector fields 269\u003c\/p\u003e \u003cp\u003eAppendix D Probability and statistical models 287\u003c\/p\u003e \u003cp\u003eIndex 297\u003c\/p\u003e","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49407182438743,"sku":"9781119885658","price":95.4,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781119885658.jpg?v=1730498463","url":"https:\/\/bookcurl.com\/products\/computer-models-of-process-dynamics-9781119885658","provider":"Book Curl","version":"1.0","type":"link"}