Index
A
Acceleration approach, 112
Accelerograph, 115
Accelerometer, 88
Acoustics, 2
Added mass, 426
Aeroplane, 1, 527
Aerospace, 476
Aircraft, 386, 425
Air pressure, 527
Amplifier, 89
Autocorrelation, 532, 534–536, 540
Automobile, 68, 386
Axial displacement, 412
Axial force, 345
B
B 3 spline, 504
Bar, 314, 371, 411–413
Basic function, 498
Beam, 3, 11, 22, 322, 324, 326, 345, 347,
382, 386, 395, 396, 417, 451, 493
Bernoulli-Euler theory, 455
Branched system, 236
Bridge, 1, 9, 527
Brilloquin, 476
Building, 1, 9, 289, 527
C
Castigliano’s theorem, 462
Central difference method, 491
Characteristic equation, 188
Characteristic free wave, 480
Classical method, 398
Collocation method, 350
Column, 7, 22, 24, 25
Complex admittance, 555
Complex frequency response function, 109,
110
Complex matrix inversion, 296, 547
Component mode synthesis method, 244
Computer, 1, 563–566, 582, 584, 587, 593
Conservation of energy, 3, 37
Consistent mass matrix, 185, 448, 450, 454,
465, 468, 474, 476
Constant strain triangle, 459
Continuous system, 8, 9, 307–370, 371–393
Convolution integral, 95
Coordinate coupling, 168
Critical damping factor, 62
Covariance, 534
Cross-correlation, 557
Cross-spectral density, 555, 564
Cylinder, 2, 33
D
D’Alembert’s principle, 5, 18, 20, 183, 315
Dam, 527
Damping
, coefficient, 29, 32, 67
, Coulomb, 6, 7, 34–37
, critical, 29–33, 46
, extended Rayleigh, 280
, negative, 6, 7
, Rayleigh, 278
, sturctural, 6
, viscous, 6, 7, 81–82, 167
Damping matrix, 186
Degrees of freedom, 7, 443
© The Editor(s) (if applicable) and The Author(s), under exclusive license
to Springer Nature Switzerland AG 2021
M. Mukhopadhyay, Structural Dynamics,
https://doi.org/10.1007/978-3-030-69674-0
619
A
Acceleration approach, 112
Accelerograph, 115
Accelerometer, 88
Acoustics, 2
Added mass, 426
Aeroplane, 1, 527
Aerospace, 476
Aircraft, 386, 425
Air pressure, 527
Amplifier, 89
Autocorrelation, 532, 534–536, 540
Automobile, 68, 386
Axial displacement, 412
Axial force, 345
B
B 3 spline, 504
Bar, 314, 371, 411–413
Basic function, 498
Beam, 3, 11, 22, 322, 324, 326, 345, 347,
382, 386, 395, 396, 417, 451, 493
Bernoulli-Euler theory, 455
Branched system, 236
Bridge, 1, 9, 527
Brilloquin, 476
Building, 1, 9, 289, 527
C
Castigliano’s theorem, 462
Central difference method, 491
Characteristic equation, 188
Characteristic free wave, 480
Classical method, 398
Collocation method, 350
Column, 7, 22, 24, 25
Complex admittance, 555
Complex frequency response function, 109,
110
Complex matrix inversion, 296, 547
Component mode synthesis method, 244
Computer, 1, 563–566, 582, 584, 587, 593
Conservation of energy, 3, 37
Consistent mass matrix, 185, 448, 450, 454,
465, 468, 474, 476
Constant strain triangle, 459
Continuous system, 8, 9, 307–370, 371–393
Convolution integral, 95
Coordinate coupling, 168
Critical damping factor, 62
Covariance, 534
Cross-correlation, 557
Cross-spectral density, 555, 564
Cylinder, 2, 33
D
D’Alembert’s principle, 5, 18, 20, 183, 315
Dam, 527
Damping
, coefficient, 29, 32, 67
, Coulomb, 6, 7, 34–37
, critical, 29–33, 46
, extended Rayleigh, 280
, negative, 6, 7
, Rayleigh, 278
, sturctural, 6
, viscous, 6, 7, 81–82, 167
Damping matrix, 186
Degrees of freedom, 7, 443
© The Editor(s) (if applicable) and The Author(s), under exclusive license
to Springer Nature Switzerland AG 2021
M. Mukhopadhyay, Structural Dynamics,
https://doi.org/10.1007/978-3-030-69674-0
619