摘要
用DQ方法研究热荷载作用下功能梯度梁的稳定性问题.基于三阶剪切变形理论,采用能量原理推导梁屈曲问题的基本方程,采用DQ方法对所得基本方程和边界条件进行离散处理.数值求解固支边界条件下功能梯度梁的临界屈曲热载荷,并得到临界屈曲热载荷随梯度参数的变化曲线.三阶理论的方程很容易退化为一阶理论和经典理论下相应的方程.结果表明:长细比一定时,梁的临界载荷都随着梯度参数的增大而增大;临界屈曲载荷随着细长比的增大而增大.
Stability of FGM beams subjected to thermal load was studied by using DQ method.The governing equations were derived based on the third-order shear deformation theory and energy principle.The governing equations and boundary conditions were made discrete and then solved numerically by using DQ method.Critical buckling loads of FGM beams with clamped boundary conditions were obtained and curves of critical buckling loads vs gradient parameters were analyzed.The governing equations of third-order theory in this paper degenerated easily into corresponding equations of first-order theory or classical theory.The obtained results indicated that critical buckling load would increases with gradient parameters for a given value of slenderness ratio;critical buckling loads obtained with third-order and first-order theory would increase with slenderness ratio.
出处
《兰州理工大学学报》
CAS
北大核心
2011年第2期164-167,共4页
Journal of Lanzhou University of Technology
关键词
FGM梁
DQM
高阶理论
屈曲
临界热载荷
functionally graded material beam
differential quadrature method（DQM）
high-order theory
buckling
critical buckling load
作者简介
马连生（1963-），男，山东临胸人，博士，教授
