Page 556 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 556
Index 543
Elastic energy, 222 spectrum, 11, 444
Energy dissipated by damping, 71 transforms, 441, 444
Energy method, 22, 373 Frame vibration, 182
Ensemble of random records, 419 Free vibration:
Equal roots, 195 damped, 28, 31
Equilibrium state, 462 undamped, 18
Equivalent loads, 327 Frequency:
Equivalent viscous damping, 73 complex response, 55, 76
of Coulomb damping, 74 damped oscillation, 31
Ergodic process, 420 natural, resonant, 53
Euler beam equation, 281 response, 54, 76, 355, 422
Excitation: spectrum, 12, 425
arbitrary, 94
impulsive, 92
Expected value, 420 Gallagher, R. H., 337
Gauss elimination, 236
Gaussian distribution, 428
Felgar, R. P., 509 Geared system, 403
Field matrix, 399 Generalized:
coordinates, 207
Finite dilTerenee, computer
programs, 110 force, 215, 223, 327, 329
Finite element, structural, 301 mass, 186, 221, 223, 229
assembly of elements, 304, 313, 318 stiffness, 186, 222, 225, 226, 227
axial elements, 302 Global coordinates, 309, 312
beam elements, 306 Goldstein, H., 228
consistent mass, 309 Gram-Schmidt orthogonalization, 242
constraint forces, 324 Gyroscopic effect, 175
element consistent mass matrix, 309, 317
element stiffness matrix, 307, 317
Half power point, 77
pinned structures, 183
Half-sine pulse, 101, 102
transformation of coordinates, 309
Flexibility matrix, 172 Harmonic analysis, 10
Harmonic motion, 6
Flexure formula for beams, 282, 373 Hayashi, C., 482
Flexure-torsion vibration, 397 Helicopter blade vibration, 330
Flow diagrams, 110, 115, 147, 392 Higher mode, matrix iteration, 242
Force: Holonomie constraint, 208
rotational, 56 Holzer, 387
transmitted, 68
Forced vibration, definition, 51, 143 computer program, 390
method, 387
Fortran programs: Houdaille damper, 155, 168
central differenee, 109
Hurty, W. C., 360
Holzer, 387
Hysteresis damping, 75
Mykletad, 393, 396, 398
one DOF, 110
two DOF, 148 Impedence transform, 98
Fourier: Impulse, 92
integrals, 441 Inertia force, 213
series, 10, 421 Influence coefficients, 172
