轴向静载作用下非线弹性梁自由振动的响应分析

Response Analysis of Vibration on Nonlinear Elasticity Beam under In-line Static Load

针对简支非线性弹性矩形截面梁,在计及轴向静载变形对梁的影响、考虑梁的非线性效应的情况下,运用Galerkin原理和林滋泰德-庞加莱法对梁进行研究,得到其动力响应解,并针对结果进行分析讨论.

Taking into consideration the effect of section deformation of in-line static load on beams and the nonlinear effect of beams, this paper uses Galerkin Principle and Linz Ted-Poincaré method to study nonlinear elastic rectangular beam with pined edges and obtains the response solution for its power, and conducts analysis and discussions on the findings.