圆薄板材料性能随温度变化的大挠度弯曲分析  

LARGE DEFLECTION ANALYSIS FOR THIN CIRCULAR PLATE WITH TEMPERATURE-DEPENDENT PROPERTIES

作　　者：张新红[1] 侯作富[1] 

机构地区：[1]长江大学机械工程学院,湖北荆州434023

出　　处：《力学与实践》2007年第2期46-49,共4页Mechanics in Engineering

摘　　要：记入材料性能参数随温度的变化,导出了横向力作用下圆薄板轴对称大挠度弯曲的位移型控制方程,并利用伽辽金方法求出了圆薄板大挠度弯曲的近似位移解;针对一个简例进行了理论计算和有限元数值模拟,二者结果一致．在此基础上分析了圆薄板大挠度弯曲的规律及材料参数随温度变化的热软化效应,给出了相关结果．The uncoupled governing equations in terms of radial displacement u and lateral displacement w for elastic circular plate with temperature-dependent properties subjected to combined heat and lateral force under large deflections are derived by use of Berger approximation. The general series expressions of variables u and w are obtained by Galerkin approximation. As an example, the deflections of a plate heated and compressed uniformly on its surfaces are calculated. The result of this present theory and that of the finite element numerical simulation are compared, and they are in good agreement. The bifurcation line of nonlinear deformation of the plate vs. temperature change and lateral force is obtained. The effect of temperature dependence of material＇s ~oung＇s modulus E on deformation of the plate heated and compressed is discussed, and the geometric nonlinear effect is found to be more significant than the temperature-dependent effect with respect to material＇s properties.

关 键 词：圆薄板 材料参数温度相关 大挠度 弯曲 

分 类 号：O343.1[理学—固体力学]