Page 9 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 9
Contents
14 NONLINEAR VIBRATIONS 461
14.1 Phase Plane 462
14.2 Conservative Systems 463
14.3 Stability of Equilibrium 466
14.4 Method of Isoelines 468
14.5 Perturbation Method 470
14.6 Method of Iteration 473
14.7 Self-Excited Oscillations 477
14.8 Runge-Kutta Method 479
APPENDICES
A Specifications of Vibration Bounds 488
B Introduction to Laplace Transformation 490
C Determinants and Matrices 496
D Normal Modes of Uniform Beams 509
E Lagrange’s Equation 518
F Computer Programs 521
ANSWERS TO SELECTED PROBLEMS 527
INDEX 541
