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

作　　者：刘燕[1] 彭建设[1] 

机构地区：[1]西华师范大学物理与电子信息学院,四川南充637002

出　　处：《重庆工学院学报》2007年第7期44-46,49,共4页Journal of Chongqing Institute of Technology

基　　金：四川省重点科研基金资助项目(2004A105)

摘　　要：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.

关 键 词：非线性 GALERKIN原理 林滋泰德-庞加莱法 轴向静载 梁 

分 类 号：O302[理学—力学]