摘要
通过损伤弹性薄板的变分方法,推导了损伤弹性薄板弯曲的运动控制方程.选取满足边界条件的挠度函数,采用Ritz法和Galerkin法,将原问题转化为线性方程组的求解.通过算例分析,得到y=b/2处挠度和损伤随x的变化曲线,结果表明损伤薄板中任一点的位移总是大于无损薄板中的位移.
By variational analysis of elastic thin plates with damage, the kinematical equation for bending of elastic thin plates with damage is derived. The deflection function for the boundary conditions is selected. Rita Method and Galerkin Method are used to transform the original problem into a set of linear equations. Through the numerical example, the relation curves between the deflection and the damage along the x-axis when y=b/2 are investigated in detial. The result shows that the displacement at any point of the plate with damage is larger than that of the plate without damage.
作者
孙立新
盛冬发
SUN Lixin;SHENG Dongfa(Civil Engineering Institute, Southwest Forestry University, Kunming 650224, Yunnan, Chin)
出处
《力学季刊》
CSCD
北大核心
2018年第1期156-163,共8页
Chinese Quarterly of Mechanics
基金
福建省自然科学基金(2011J01001)
