Page 558 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 558
Index 545
Penzien, J., 337 Reduction of DOF:
Periodic motion, 9 matrix method, 319
Fourier coefficients, 10 by mode selection and summation, 192
response, 424 Repeated roots, 195
Period of vibration: Repeated structures, 289
of nonlinear system, 465 Resonance, 5
Perturbation method, 470 Response spectrum, 103
Pestel, E. C., 399 Rice, S. O., 431, 452
Phase: Rise time, 100
distortion, 83 Robson, J. D., 452
of harmonic motion, 52 Rockey, D. C., et al., 337
plane, 462 Rods:
Piezoelectric instruments, 83 longitudinal, axial vibration, 271
Plane frame, 181, 219, 229, 313, 321, 341 torsional vibration, 273
Point matrix, 399 Root-locus damping, 30
Popov, E. P., 174 Root mean square, 13
Potential energy, 222 Rotary inertia, 286
of beams, 227 Rotating shaft, 61
of nonlinear system, 463 Rotating unbalance, 56
Power, 73 Rotation mass exciter, 56, 58
Power spectral density, 435, 438 Rotation matrix, 255
analyzer, 439 Rotor balancing, 58
Principal coordinates, 139 Runge-Kutta computation, 117
Probability, 425 for beams, 287
cumulative density, 426 for multi-DOF systems, 120
density, 426 for nonlinear equations, 479
distribution, 425
of instantaneous value, 427 Saczalski, K. J., 122
of peak values, 429 Salvadori, M. G., 262
Proportional damping, 191 Satellite Booms, 285, 346
Pulse excitation, 100 Seismic instruments, 79
Seismometer, 79, 81
Self-excited oscillation, 477
2-sharpness of resonance, 78 Sensitivity of instruments, 83
Séparatrices, 466
Shaft vibration, 62
Ralston, A., and Wilf, H. S., 262 Shape functions:
Random time function, 420 axial members, 303
Rauscher, M., 482 beams, 306
Rayleigh, 228 Sharpness of resonance, 77
damping, 191 Shear deformation of beams, 286
distribution, 428 Shock isolation, 108
method for natural frequency, 24, 371, 377 Shock response spectra, 103
-Ritz method, 384 drop test, 100
Reciprocity theorem, 175 rectangular pulse, 101, 106
Rectangular pulse, 101 sine pulse, 102, 107
Recurrence formula, 110 step-ramp, 101
Reduced stiffness, 184, 319 triangular pulse, 107
