Modeling, simulation and control of nonlinear engineering dynamical systems: state-of-the-art, perspectives and applications

cover......Page 1
Modeling, Simulation andControl of NonlinearEngineering Dynamical......Page 3
Preface......Page 5
Contents......Page 16
1 Introduction......Page 24
2 Governing Equations......Page 25
3 Asymptotic Simplifcation of Boundary Conditions......Page 27
4 A Single Fibre Embedded in the Half-Space......Page 28
References......Page 33
1 Introduction......Page 35
2 The Lorenz Attractor and Other Dynamical Systems......Page 39
3Conclusion......Page 44
References......Page 45
1 Introduction......Page 46
2 Description of the System......Page 47
3 The Method of the Wandering Trajectories......Page 48
4 Characterization of Typical Trajectories......Page 49
5 Comparison with Bifurcation Diagrams......Page 52
6 Overall Characterization of the Non-regular Solutions and Effect of the Hysteresis......Page 53
References......Page 56
1 Introduction......Page 57
2 Linear Chains with Weak Coupling......Page 58
3 Nonlinear Chains with Weak Nonlinearity......Page 61
4 Chains with Nonlinearity, Compatible with Coupling......Page 63
5 Conclusions......Page 66
References......Page 67
2 Mathematical Model of the System......Page 68
3 Numerical Calculations......Page 75
References......Page 78
1 Introduction......Page 79
2 Equations of Motion......Page 80
3 Smooth Control......Page 82
4 Dry (Discontinuous) Friction......Page 83
5 Viscosity (Continuous) Friction......Page 86
6 Conclusions......Page 87
References......Page 88
1 Introduction......Page 89
2 Control Concept for Adaptronic Strut......Page 91
3 Implementation into PKM Machine Tool......Page 92
5 Conclusions......Page 95
References......Page 97
1 Introduction......Page 98
2 Motivation of Research......Page 99
3 Mathematical Model of the Rotor Motion at Small Oscillations......Page 100
4 Rotor Motion at Large Oscillations......Page 104
5 Examples......Page 106
6 Conclusions......Page 110
References......Page 111
1 Introduction......Page 112
2 Formulation of the Identifcation Problem of the Dynamical Systems......Page 113
3 The Two-Stage Fuzzy Strategy......Page 115
4 Numerical Examples......Page 119
5 Conclusions......Page 120
References......Page 122
1 Introduction......Page 123
2 (SMA) Constitutive Modeling......Page 124
3 Mathematical Model of the Non-ideal System......Page 125
4 Numerical Results......Page 127
5 Conclusions......Page 130
References......Page 132
1 Introduction......Page 133
2 Motion with Impacts: A Simple Motion of the Limiter......Page 134
3 Computational Results......Page 135
4 Analytical Results......Page 137
5 Conclusions......Page 142
References......Page 143
1 Introduction......Page 144
2 Transient in a System Containing an Essentially Nonlinear Oscillator as Absorber......Page 145
3 Transient in the Vibro-Impact System......Page 148
4 Transient in 2-DOF Nonlinear System with Limited Power Supply......Page 152
References......Page 154
1 Introduction......Page 156
2 Floating Frame of Reference Formulation......Page 158
3 Generalized Impulse-Momentum Balance Equations......Page 159
4 Coeffcients of Restitution and Routh’s Diagrams......Page 160
5 Numerical Example......Page 162
6 Conclusions......Page 165
References......Page 166
1 Introduction......Page 167
2 Modeling Preliminaries......Page 168
3 Prescribed Flight......Page 170
4 Governing Equations and the Solution Code......Page 172
5 Case Study......Page 174
6 Conclusions......Page 175
References......Page 176
1 Motivation......Page 177
2 General System Class......Page 179
3 Control Objective & Controllers......Page 180
4 New Control Strategies......Page 182
5 Improved Gain Adaptation Laws......Page 184
6 Simulations......Page 185
7 Conclusions......Page 191
References......Page 192
1 Introduction......Page 193
2 Formulation......Page 194
3 Method of Solving......Page 196
5 R-Functions Method......Page 198
6 Numerical Results......Page 199
References......Page 203
1 Introduction......Page 204
2 Model of Digital Force Control......Page 205
3 Stability Analysis......Page 206
4 Experimental Setup......Page 207
5 Theoretical vs. Experimental Results......Page 210
6 Conclusions......Page 211
References......Page 212
1 Introduction......Page 213
2 Statement of the Problem......Page 214
3 An Approximation Algorithm......Page 216
4 Numerical Example......Page 218
References......Page 221
1 Introduction......Page 223
2 The Equations of Motion......Page 224
3 Existence of Auto-Rotation......Page 225
and Various Values of c......Page 226
5 Average Trapped Power......Page 228
6 Pitch Angle Control......Page 229
7 Conclusions......Page 230
Notation......Page 231
References......Page 232
1 Introduction......Page 233
3 An Abstract Feedback Control Strategy Architecture......Page 235
4 Design of a Kinematic Control Strategy Based on the Error Function......Page 236
5 Control of a Two-Wheeled Mobile Robot......Page 238
6 Conclusions......Page 242
References......Page 243
2 Theoretical Description......Page 244
3 Numerical Examples......Page 246
4 Experimental Examples......Page 249
References......Page 253
2 Equations of the 2-D Scanner......Page 254
3 Angular and Linear Scanning Functions......Page 256
References......Page 263
2 Problem Formulation......Page 265
3 On the Numerical Solution to Vibration and Stability Beam Problems......Page 267
4 Numerical Results Obtained via FDM and FEM......Page 269
6 Conclusions......Page 273
References......Page 275
2 Model of the Vibrating System and Equations of Motions......Page 276
3 Experimental System......Page 278
4 Numerical and Experimental Results......Page 279
5 Conclusions......Page 284
References......Page 285
1 Introduction......Page 286
2 FEM Model of a Rotating Shaft......Page 287
3 FEM Model of a Rotating Disk......Page 290
4 Mathematical Model of the Whole Disk-Shaft System......Page 291
5 Numerical Example......Page 292
6 Conclusions......Page 294
References......Page 296
1 Introduction......Page 298
2 Light Standard Thermo-Rheological Hereditary Element......Page 299
3 Thermo-Rheological Double Pendulum System – System of the Averaged Equations......Page 304
4 Stochastic Dynamics of the Thermo-Rheological Double Pendulum system – Parametric Resonance......Page 305
References......Page 307
1 Introduction......Page 309
2 Regular Polyhedra and Their Applications to Life Sciences and Bioengineering......Page 310
4 Applications of Tensegrity Concepts to Living Forms......Page 312
5 Form-Finding Analysis......Page 314
6 Transformations of the Tensegrity Systems......Page 316
References......Page 318
1 Introduction......Page 320
2 Modeling the DC-DC Buck Converter with LPWM and ZAD......Page 321
3 Computation of the Duty Cycle......Page 322
4 Bifurcational Analysis......Page 324
References......Page 331
2 Quasi-linear Controlled Systems......Page 333
3 Orbital Stability......Page 335
4 Conclusions......Page 341