상세정보

CONTENTS
Preface = xi
Acknowledgements = xiii
General notation = xv
1 Introduction = 1
2 The vibrations of systems having one degree of freedom = 10
 2.1 Free undamped vibration = 11
  2.1.1 Translational vibration = 11
  2.1.2 Torsional vibration = 15
  2.1.3 Non-linear spring elements = 18
  2.1.4 Energy methods for analysis = 19
 2.2 Free damped vibration = 28
  2.2.1 Vibration with viscous damping = 29
  2.2.2 Vibration with Coulomb (dry friction) damping = 37
  2.2.3 Vibration with combined viscous and Coulomb damping = 40
  2.2.4 Vibration with hysteretic damping = 41
  2.2.5 Energy dissipated by damping = 43
 2.3 Forced vibration = 46
  2.3.1 Response of a viscous damped system to a simple harmonic exciting force with constant amplitude = 46
  2.3.2 Response of a viscous damped system supported on a foundation subjected to harmonic vibration = 55
   2.3.2.1 Vibration isolation = 56
  2.3.3 Response of a Coulomb damped system to a simple harmonic exciting force with constant amplitude = 69
  2.3.4 Response of a hysteretically damped system to a simple harmonic exciting force with constant amplitude = 70
  2.3.5 Response of a system to a suddenly applied force = 71
  2.3.6 Shock excitation = 72
  2.3.7 Harmonic analysis = 74
  2.3.8 Random vibration = 77
   2.3.8.1 Probability distribution = 77
   2.3.8.2 Random processes = 80
   2.3.8.3 Spectral density = 84
  2.3.9 The measurement of vibration = 86
3 The vibrations of systems having more than one degree of freedom = 88
 3.1 The vibration of systems with two degrees of freedom = 92
  3.1.1 Free vibration of an undamped system = 92
  3.1.2 Free motion = 94
  3.1.3 Coordinate coupling = 96
  3.1.4 Forced vibration = 102
  3.1.5 The undamped dynamic vibration absorber = 104
  3.1.6 System with viscous damping = 113
 3.2 The vibration of systems with more than two degrees of freedom = 115
  3.2.1 The matrix method = 115
   3.2.1.1 Orthogonality of the principal modes of vibration = 118
  3.2.2 The Lagrange equation = 121
  3.2.3 Receptances = 125
  3.2.4 Impedance and mobility = 135
4 The vibrations of systems with distributed mass and elasticity = 141
 4.1 Wave motion = 141
  4.1.1 Transverse vibration of a string = 141
  4.1.2 Longitudinal vibration of a thin uniform bar = 142
  4.1.3 Torsional vibration of a uniform shaft = 143
  4.1.4 Solution of the wave equation = 144
 4.2 Transverse vibration = 147
  4.2.1 Transverse vibration of a uniform beam = 147
  4.2.2 The whirling of shafts = 151
  4.2.3 Rotary inertia and shear effects = 152
  4.2.4 The effects of axial loading = 152
  4.2.5 Transverse vibration of a beam with discrete bodies = 153
  4.2.6 Receptance analysis = 155
 4.3 The analysis of continuous systems by Rayleigh's energy method = 159
  4.3.1 The vibration of systems with heavy springs = 159
  4.3.2 Transverse vibration of a beam = 160
  4.3.3 Wind or current excited vibration = 167
 4.4 The stability of vibrating systems = 169
 4.5 The finite element method = 170
5 Automatic control systems = 172
 5.1 The simple hydraulic servo = 178
  5.1.1 Open loop hydraulic servo = 178
  5.1.2 Closed loop hydraulic servo = 180
 5.2 Modifications to the simple hydraulic servo = 185
  5.2.1 Derivative control = 185
  5.2.2 Integral control = 188
 5.3 The electric position servomechanism = 194
  5.3.1 The basic closed loop servo = 195
  5.3.2 Servo with negative output velocity feedback = 203
  5.3.3 Servo with derivative of error control = 207
  5.3.4 Servo with integral of error control = 207
 5.4 The Laplace transformation = 221
 5.5 System transfer functions = 224
 5.6 Root locus = 228
  5.6.1 Rules for constructing root loci = 230
  5.6.2 The Routh-Hurwitz criterion = 242
 5.7 Control system frequency response = 255
  5.7.1 The Nyquist criterion = 255
  5.7.2 Bode analysis = 271
6 Problems = 280
 6.1 Systems having one degree of freedom = 280
 6.2 Systems having more than one degree of freedom = 292
 6.3 Systems with distributed mass and elasticity = 309
 6.4 Control systems = 311
7 Answers and solutions to selected problems = 328
Bibliography = 419
Index = 423