The Method of Weighted Residuals in the Time Domain Applied to Nonlinear Vibrations

摘要

A method to solve nonlinear differential equations governing periodic motion is presented. The approximation is based on the method of weighted residuals. As an example problem, nonlinear vibrations of an infinitely long cylinder are examined, and their frequencies are calculated, using various types of assumed solutions and weighting functions. The numerical results show that the Galerkin type of finite element procedure gives a good approximation.