The classical methods of electrical circuits, control systems, numerical methods, optimization, direct numerical integration methods, engineering mechanics and mechanical vibrations are covered using MATLAB software. The numerous worked examples and unsolved exercise problems are intended to provide the reader with an awareness of the general applicability to electrical circuits, control systems, numerical methods, optimization, direct numerical integration methods, engineering mechanics and mechanical vibrations using MATLAB. Extensive references to guide the student to further sources of information on electrical circuits, control systems, numerical methods, optimization, direct numerical integration methods, engineering mechanics, and mechanical vibrations using MATLAB is provided at the end of each chapter.
Author(s): Rao V. Dukkipati
Publisher: to New Age International Pvt Ltd Publishers
Year: 2009
Language: English
Pages: 680
Preface......Page 8
Acknowledgement......Page 10
Contents......Page 12
1.1 Introduction......Page 16
1.3 Display Formats......Page 18
1.4 Elementary Math Built-in Functions......Page 19
1.6 Predefined Variables......Page 21
1.8 General Commands......Page 22
1.9 Arrays......Page 24
1.10 Operations with Arrays......Page 26
1.11 Element-by-Element Operations......Page 29
1.12 Random Numbers Generation......Page 31
1.13 Polynomials......Page 32
1.14 System of Linear Equations......Page 33
1.15 Script Files......Page 38
1.16 Programming in MATLAB......Page 39
1.17 Graphics......Page 44
1.18 Input/Output in MATLAB......Page 53
1.19 Symbolic Mathematics......Page 54
1.20 The Laplace Transforms......Page 58
1.21 Control Systems......Page 59
Summary......Page 98
References......Page 99
Problems......Page 100
2.1 Introduction......Page 112
2.2 Electrical Circuits......Page 115
2.3 Kirchhoff's Laws......Page 117
2.4 Example Problems and Solutions
......Page 118
Problems......Page 133
3.2 Control Systems......Page 136
3.3 Examples of Control Systems......Page 137
3.4 Control System Configurations......Page 138
3.5 Control System Terminology......Page 139
3.6 Control System Classes......Page 141
3.7 Feedback Systems......Page 142
3.8 Analysis of Feedback......Page 143
3.10 MATLAB Application
......Page 144
3.11 Second-Order Systems......Page 146
3.13 Bode Diagrams......Page 147
3.14 Nyquist Plots......Page 148
3.16 Gain Margin, Phase Margin, Phase Crossover, Frequency and Gain Crossover Frequency......Page 149
3.17 Transformation of System Models......Page 150
3.19 Nyquist Plots of a System Defined in State Space......Page 151
3.20 Transient-Response Analysis in State Space......Page 152
3.22 Example Problems and Solutions......Page 154
References......Page 203
Problems......Page 205
4.3 Gauss Elimination Method......Page 216
4.4 LU Decomposition Methods......Page 217
4.6 Gauss-Seidel Method......Page 218
4.7 Gauss-Jordan Method
......Page 219
4.8 Jacobi Method......Page 220
4.9 The Householder Factorization......Page 222
4.11 Jacobi Method......Page 223
4.12 Householder Reduction to Tridiagonal Form......Page 225
4.14 QR Method......Page 226
4.15 Example Problems and Solutions......Page 229
References......Page 269
Problems......Page 274
5.2 Conjugate Gradient Methods......Page 276
5.3 Newton's Method......Page 277
5.4 The Concept of Quadratic Convergence......Page 278
5.5 Powell's Method......Page 281
5.7 Hooke and Jeeves Method......Page 282
5.8 Interior Penalty Function Method
......Page 283
5.9 Example Problems and Solutions......Page 285
Problems......Page 331
6.2 Single-Degree of Freedom System......Page 334
6.3 Multi-Degree of Freedom System......Page 337
6.4 Explicit Schemes......Page 338
6.5 Implicit Schemes......Page 343
6.6 Example Problems and Solutions......Page 352
References......Page 396
Problems......Page 401
7.3 Newton's Laws of Motion......Page 404
7.4 Resultants of Coplanar Force Systems......Page 405
7.5 Resultants of Non-Coplanar Force Systems
......Page 406
7.6 Equilibrium of Coplanar Force Systems......Page 407
7.8 Trusses......Page 409
7.10 Friction......Page 410
7.11 First Moments and Centroids......Page 411
7.12 Virtual Work......Page 412
7.13 Kinematics of a Particle......Page 413
7.15 Kinematics of a Rigid Body in Plane Motion......Page 417
7.16 Moments of Inertia......Page 419
7.17 Dynamics of a Rigid Body in Plane Motion......Page 421
7.18 Work and Energy
......Page 423
7.19 Impulse and Momentum......Page 424
7.20 Three-Dimensional Mechanics......Page 426
7.21 Example Problems and Solutions......Page 428
References......Page 541
Problems......Page 542
8.2 Classification of Vibrations......Page 564
8.3 Elementary Parts of Vibrating Systems......Page 565
8.5 Vibration Analysis......Page 567
8.6 Components of Vibrating Systems......Page 569
8.7 Free Vibration of Single Degree of Freedom Systems......Page 571
8.8 Forced Vibration of Single-Degree of Freedom Systems......Page 578
8.9 Harmonic Functions......Page 586
8.10 Two-Degree of Freedom Systems......Page 588
8.11 Multi-Degree of Freedom Systems......Page 592
8.13 Proportional Damping......Page 596
8.15 Harmonic Excitations......Page 597
8.17 Lagrange's Equation......Page 598
8.18 Principle of Virtual Work......Page 599
8.22 Hamilton's Principle......Page 600
8.23 Example Problems and Solutions......Page 601
References......Page 649
Problems......Page 653
Bibliography......Page 662
Index......Page 664
