Page 8 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 8
Contents vii
11 MODE^SUMMATION PROCEDURES FOR CONTINUOUS
SYSTEMS 345
11.1 Mode-Summation Method 345
11.2 Beam Orthogonality Including Rotary Inertia
and Shear Deformation 351
11.3 Normal Modes of Constrained Structures 353
11.4 Mode-Acceleration Method 358
11.5 Component-Mode Synthesis 360
12 CLASSICAL METHODS 371
12.1 Rayleigh Method 371
12.2 Dunkerley’s Equation 379
12.3 Rayleigh-Ritz Method 384
12.4 Holzer Method 387
12.5 Digital Computer Program for the Torsional
System 390
12.6 Myklestad’s Method for Beams 393
12.7 Coupled Flexure-Torsion Vibration 397
12.8 Transfer Matrices 399
12.9 Systems with Damping 400
12.10 Geared System 403
12.11 Branched Systems 404
12.12 Transfer Matrices for Beams 406
13 RANDOM VIBRATIONS 419
13.1 Random Phenomena 419
13.2 Time Averaging and Expected Value 420
13.3 Frequency Response Function 422
13.4 Probability Distribution 425
13.5 Correlation 431
13.6 Power Spectrum and Power Spectral
Density 435
13.7 Fourier Transforms 441
13.8 FTs and Response 448
