弹性Timoshenko梁的动力学大挠度问题及应用  

Dynamical big deflection and application of elastic Timoshenko beam

作　　者：张燕[1] 余占奎[1] 

机构地区：[1]上海师范大学建工学院,上海201418

出　　处：《辽宁工程技术大学学报（自然科学版）》2006年第2期200-203,共4页Journal of Liaoning Technical University (Natural Science)

基　　金：上海市教委科研基金资助项目(04DB13);上海师范大学科研基金资助项目(Dk121)

摘　　要：对于几何非线性物理线性的Timoshenko梁,引入截面参量,应用Hamilton原理导出了非线性动力学偏微分方程组及广义边界条件。无量纲化后在其平凡解附近展成线性偏微分方程,并以简支梁为例与Bernoulli-Euler的初等假设理论进行了比较,讨论了长细比对梁的动力学特性的影响。应用软土隧道的数值计算,分析了结构动态实验参数与两种理论值的关系。This article employes Hamilton＇s principle in Timoshenko beam which is geometrical nonlinear and physical linear and deduces series of nonlinear integro-partial-fluxional dynamical equations. After wiping off the dimension, the equation is expanded into linear equation around the ordinary result, then sets the cantilever beam as an example and compared with the theory of Bernoulli-Euler＇ primary supposition. The article discusses the influence of the rate of length and width on dynamical characteristic of the beam, and analyses the relationship between dynamic parameter of structural experiment and the two kinds of theoretic values.

关 键 词：TIMOSHENKO梁 HAMILTON原理 大挠度 Bernoulli-Euler梁 

分 类 号：O345[理学—固体力学]