Designed to convey information by means of examples. As the author points out, the results procured using the method of normal forms are equivalent to those obtained with other perturbation techniques such as multiple scales and averaging. Will make techniques described accessible to engineers and scientists working with dynamical problems.
Table of ContentsSingle-Degree-of-Freedom Autonomous Systems.
Systems of First-Order Equations.
Forced Oscillations of the Duffing Oscillator.
Forced Oscillations of SDOF Systems with Quadratic and Cubic Nonlinearities.
Parametrically Excited Systems.
Multi-Degree-of-Freedom Systems with Quadratic Nonlinearities.
Two-Degree-of-Freedom Systems with Cubic Nonlinearities.
Two-Degree-of-Freedom Systems with Quadratic and Cubic Nonlinearities.