Index
621
Multiple degrees of freedom, 8, 9, 183–258,
261–306
Myklestad method, 211
N
Naval architecture, 476
Newmark’s method, 140, 292, 563
Newton’s law, 4
Normalisation of modes, 196
Normal mode method, 262, 549
O
Ocean engineering, 476
Offshore platform, 1
Offshore tower, 9
Orthogonality relationship, 188, 192, 336
Oscillation, 2, 6, 32, 33
Oscilloscope, 89
Overdamped system, 29
P
Pell’s method, 516
Pendulum, 2, 6
Periodic beam, 477
Periodic force, 98
Periodic structure, 476
, finite element method, 483
Perturbation method, 516
Phase angle, 64
Phase difference, 20
Phase plane method, 516
Pick-up, 90
Pipe, 2
Plate, 2, 3, 11, 12, 363, 459, 466, 469, 470,
496, 593
Plate bending element, 467
Power spectral density, 539, 540
Probability density function, 530, 531
Probability distribution, 528
, second order, 530
Propeller shaft, 3
Pseudo-static, 1, 266
R
Random process, 527
Rayleigh’s method, 3, 229–230, 356
Rayleigh’s quotient, 354
Reciprocating engine, 1, 70
Reciprocating unbalance, 70
Rectangular element, 463
Reduced integration, 473
Reduction methods, 238
Resonance, 64
Response spectrum, 97, 113, 288
Rod, 448
Rotary inertia, 3, 339, 347, 417
Rotor, 1, 9, 68
Runge-Kutta method, 138
S
Sample function, 528
Seismic instruments, 86, 87
Semianalytic finite difference, 497, 501
Semidefinite system, 161
Shaft, 443
Shape factor, 426
Shape function, 444
Shear beam, 375
Shear deformation, 3, 347, 417
Shear locking, 473
Shell, 2, 476
Ship, 1, 12, 425, 584
Simpson’s rule, 144
Simultaneous iteration method, 196, 234
Single degree of freedom, 8, 15, 59–128,
129–154
Space frame, 566
Spectral density, 539, 540, 545
Spline finite strip, 503
Spline function, 504
Standard deviation, 534
Static condensation, 239
Statics, 2, 4
Stationary process, 535
Steamship, 3
Step-by-step integration, 520
Stiffness matrix, 186, 446, 453, 465
Stodola’s method, 217
Stodola-Vianello’s method, 217
String, 2, 308
Structural dynamics, 4, 5
Strut, 3
Sturm sequence, 197
Subspace iteration method, 196
Support motion, 75, 110, 283
Sweeping matrix, 218
T
Temporal average, 535
Three-dimensional correction factor, 426
Three moment theorem, 398
Time domain analysis, 543
621
Multiple degrees of freedom, 8, 9, 183–258,
261–306
Myklestad method, 211
N
Naval architecture, 476
Newmark’s method, 140, 292, 563
Newton’s law, 4
Normalisation of modes, 196
Normal mode method, 262, 549
O
Ocean engineering, 476
Offshore platform, 1
Offshore tower, 9
Orthogonality relationship, 188, 192, 336
Oscillation, 2, 6, 32, 33
Oscilloscope, 89
Overdamped system, 29
P
Pell’s method, 516
Pendulum, 2, 6
Periodic beam, 477
Periodic force, 98
Periodic structure, 476
, finite element method, 483
Perturbation method, 516
Phase angle, 64
Phase difference, 20
Phase plane method, 516
Pick-up, 90
Pipe, 2
Plate, 2, 3, 11, 12, 363, 459, 466, 469, 470,
496, 593
Plate bending element, 467
Power spectral density, 539, 540
Probability density function, 530, 531
Probability distribution, 528
, second order, 530
Propeller shaft, 3
Pseudo-static, 1, 266
R
Random process, 527
Rayleigh’s method, 3, 229–230, 356
Rayleigh’s quotient, 354
Reciprocating engine, 1, 70
Reciprocating unbalance, 70
Rectangular element, 463
Reduced integration, 473
Reduction methods, 238
Resonance, 64
Response spectrum, 97, 113, 288
Rod, 448
Rotary inertia, 3, 339, 347, 417
Rotor, 1, 9, 68
Runge-Kutta method, 138
S
Sample function, 528
Seismic instruments, 86, 87
Semianalytic finite difference, 497, 501
Semidefinite system, 161
Shaft, 443
Shape factor, 426
Shape function, 444
Shear beam, 375
Shear deformation, 3, 347, 417
Shear locking, 473
Shell, 2, 476
Ship, 1, 12, 425, 584
Simpson’s rule, 144
Simultaneous iteration method, 196, 234
Single degree of freedom, 8, 15, 59–128,
129–154
Space frame, 566
Spectral density, 539, 540, 545
Spline finite strip, 503
Spline function, 504
Standard deviation, 534
Static condensation, 239
Statics, 2, 4
Stationary process, 535
Steamship, 3
Step-by-step integration, 520
Stiffness matrix, 186, 446, 453, 465
Stodola’s method, 217
Stodola-Vianello’s method, 217
String, 2, 308
Structural dynamics, 4, 5
Strut, 3
Sturm sequence, 197
Subspace iteration method, 196
Support motion, 75, 110, 283
Sweeping matrix, 218
T
Temporal average, 535
Three-dimensional correction factor, 426
Three moment theorem, 398
Time domain analysis, 543