Page 557 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)

544 Index

Initial conditions, 29, 135, 186 Modal matrix, weighted P, 187
Instruments, vibration measuring, 78 Modal matrix P, 187
Integration method for beams, 296 Mode:
Inversion, Laplaee Transforms, 99, 490, 494 acceleration method, 358
Inversion of matrices, 501, 507 normal, 132
Isoclines, 468 orthogonality of, 185
Isolation of vibration, 68, 108 partieipation factor, 193, 348
Iteration, matrix method, 238, 473 summation method, 192, 345
Myklestad, N. O., 393
Jacobi method, 253 coupled flexure-torsion, 397
Jacobsen, L. S., 122 method of beams, 394
Janke-Emde, 275
Joints (nodes), struetural, 301 Narrow-band speetral density, 430, 438
Jump phenomena, 475 Natural frequeney, 19
of beams, table, 283
Kimball, A. L., 75 peak amplitude of, 85
Kinetic energy of vibration, 22, 221 of rods, 272
of strings, 270
Lagrange’s equation, 215 Nelson, F. C., 122
Lagrangian, 513 Node position, 141
Lanchester damper, 154 Nonlinear differential equation, 461
Lanczos, C., 228 Normal coordinates, 139
Laplace transforms, 97, 490 Normal modes, 131
Lazan, B. S., 75 of beams, 283, 510
Leckie, F. A., 399 of constrained structures, 353
Limit cycle, 470 summation of, 192
Linear system, definition, 5 of torsional systems, 274, 387
Logarithmic decrement, 33
Longitudinal, axial, vibration: Octave, 13
of missiles, 356 Orthogonality, 185
of rods, 271 with rotary inertia and shear, 286
of triangular plates, 386 Orthogonal matrix, 500
Loss coefficient, 72 Orthogonal transformation, 503
Lumped mass beams, 377 Orthonormal modes, 186
Malkin, I. G., 482 Parseval’s theorem, 445
Mass addition, effect on natural frequency, 25, Partial fractions:
355 in forced vibration, 145
Mass matrix, consistent finite element, 309, 317 in Laplaee transformation, 492
Mathieu equation, 472 Partitioned matrix, 504
Matrices, orthogonal, 500 Peak value, 12
Matrix inversion, 501 for shock excitation, 103, 107
Matrix iteration, 238 single DOF, 100
Mean square value, 13, 421 Pendulum:
Mean value, 12, 421 absorber, 152
Meirovitch, L., 183, 262 bifilar, 167
Minorsky, N., 482 coupled, 134, 162, 213
Modal damping, 190 torsional, 20