620
Index
Determinant search technique, 191, 197, 200
Deterministic process, 12, 527
Diesel engine, 76
Direct stiffness method, 395–423
Disc, 38, 39, 199
Discrete Fourier Transformation, 148
Displacement approach, 111
Duhamel integral, 95, 129, 142, 145, 146,
269, 515
Dunkerley’s equation, 198
Dynamic load factor, 62, 285
Dynamics, 2, 5
E
Earthquake, 1, 9, 88, 113, 115, 116
Earthquake spectrum analyser, 286
Eigenvalue, 187, 188, 190, 197, 243, 447,
563, 593, 603
Elastic restraints, 333
Electric motor, 68
Energy
, kinetic, 37, 354
, potential, 37, 445, 453
, strain, 39, 80, 354, 450, 458
Ensemble average, 532
Ergodic process, 535
Exciting force, 16
F
Fast Fourier Transformation, 149
Finite difference method, 130, 491–513
Finite element method, 4, 11, 12, 244, 443–
489, 553, 593
Fixed interface method, 244
Flexibility matrix method, 428, 584
Fourier series
, complex, 102–105
, real, 98–102
Fourier transform, 106
Frame, 9, 11, 15, 16, 22, 263, 274, 582
Framed structure, 566
Free interface method, 244
Frequency determinant, 187
Frequency domain analysis, 148, 297, 300,
543, 564
Friction, 34–36
G
Gaussian quadrature, 473, 602
Gear, 1
Geared system, 235
Gram-Schmitt orthogonalisation, 225
Ground motion, 115, 375, 384
Guyan’s reduction, 238
H
Hammer, 2
Holzer method, 200
Hooke’s law, 314
I
Impact, 26, 27
Impluse momentum equation, 94
Inertia force, 4, 15, 16, 32
Interpolation matrix, 444
Isoclinic method, 516
Isoparametric element, 469, 473, 593, 602
J
Joint probability distribution, 531
L
Lagrange’s equation, 251
Linear acceleration method, 135
Load
, blast, 9
, dead, 1
, dynamic, 1, 8, 9, 12
, random, 552
Loading matrix, 186
Local correction factor, 426
Logarithmic decrement, 45–49
Loss coefficient, 80
M
Magnification factor, 63–65, 88
Mass matrix, 185
Mathematical expectation, 533
Matrix deflection procedure, 225
Mean, 532
Mechanics, 2
, nonlinear, 3
Membrane, 359
Mindlin’s theory, 469
Mode acceleration method, 261, 267
Mode participation factor, 283, 289
Mode superposition method, 261, 262, 297,
563
Moving load, 386
Index
Determinant search technique, 191, 197, 200
Deterministic process, 12, 527
Diesel engine, 76
Direct stiffness method, 395–423
Disc, 38, 39, 199
Discrete Fourier Transformation, 148
Displacement approach, 111
Duhamel integral, 95, 129, 142, 145, 146,
269, 515
Dunkerley’s equation, 198
Dynamic load factor, 62, 285
Dynamics, 2, 5
E
Earthquake, 1, 9, 88, 113, 115, 116
Earthquake spectrum analyser, 286
Eigenvalue, 187, 188, 190, 197, 243, 447,
563, 593, 603
Elastic restraints, 333
Electric motor, 68
Energy
, kinetic, 37, 354
, potential, 37, 445, 453
, strain, 39, 80, 354, 450, 458
Ensemble average, 532
Ergodic process, 535
Exciting force, 16
F
Fast Fourier Transformation, 149
Finite difference method, 130, 491–513
Finite element method, 4, 11, 12, 244, 443–
489, 553, 593
Fixed interface method, 244
Flexibility matrix method, 428, 584
Fourier series
, complex, 102–105
, real, 98–102
Fourier transform, 106
Frame, 9, 11, 15, 16, 22, 263, 274, 582
Framed structure, 566
Free interface method, 244
Frequency determinant, 187
Frequency domain analysis, 148, 297, 300,
543, 564
Friction, 34–36
G
Gaussian quadrature, 473, 602
Gear, 1
Geared system, 235
Gram-Schmitt orthogonalisation, 225
Ground motion, 115, 375, 384
Guyan’s reduction, 238
H
Hammer, 2
Holzer method, 200
Hooke’s law, 314
I
Impact, 26, 27
Impluse momentum equation, 94
Inertia force, 4, 15, 16, 32
Interpolation matrix, 444
Isoclinic method, 516
Isoparametric element, 469, 473, 593, 602
J
Joint probability distribution, 531
L
Lagrange’s equation, 251
Linear acceleration method, 135
Load
, blast, 9
, dead, 1
, dynamic, 1, 8, 9, 12
, random, 552
Loading matrix, 186
Local correction factor, 426
Logarithmic decrement, 45–49
Loss coefficient, 80
M
Magnification factor, 63–65, 88
Mass matrix, 185
Mathematical expectation, 533
Matrix deflection procedure, 225
Mean, 532
Mechanics, 2
, nonlinear, 3
Membrane, 359
Mindlin’s theory, 469
Mode acceleration method, 261, 267
Mode participation factor, 283, 289
Mode superposition method, 261, 262, 297,
563
Moving load, 386