格栅夹层梁热弯曲的等效微极热弹性分析  

Equivalent Micro polar Thermoelastic Analysis of Thermal Bending for Grid Sandwich Beams

作　　者：张锐[1] 尚新春[1,2] 

机构地区：[1]北京科技大学国家材料服役安全科学中心,北京100083 [2]北京科技大学数理学院应用力学系,北京100083

出　　处：《应用数学和力学》2015年第9期936-944,共9页Applied Mathematics and Mechanics

基　　金：国家高技术研究发展计划(863计划)(2012AA03A513)~~

摘　　要：将格栅夹层梁热弯曲等效为微极热弹性梁的受热变形,利用平面微极热弹性理论建立了微极梁受热变形的控制方程组,给出了温度载荷下微极梁的位移表达式.通过胞元能量等效的方法,得到了研究的格栅夹层梁等效微极热弹性梁材料参数.对比了等效微极梁模型和ANSYS有限元软件计算得到的温度载荷下悬臂格栅夹层梁受热弯曲变形的数值结果,两种方法得到的结果非常接近,证明了微极热弹性梁是一种简单有效的模拟格栅夹层梁热变形的等效模型.The thermal bending of the grid sandwich beam was considered to be equivalent to the deformation of the micropolar thermoelastic beam under thermal load, and the control e- quations of thermal deformation for the equivalent micropolar thermoelastic beam were estab- lished based on the plane micropolar thermoelastic theory, with the expression of the thermal displacements given. The material parameters of the equivalent micropolar thermoelastic beam were obtained with the cell energy equivalence method. The example cantilever grid sandwich beam＇s thermal bending deformations calculated according to the proposed analytical equiva- lent micropolar beam model and the numerical ANSYS FEM were compared. The results from the proposed analytical method are perfectly close to those from the numerical mothod, which validates that the equivalent micropolar thermoelastic beam is a simple and effective model to simulate the thermal deformations of grid sandwich beams.

关 键 词：格栅夹层梁 热弯曲 微极热弹性 均匀化方法 

分 类 号：TB331[一般工业技术—材料科学与工程] O343.6[理学—固体力学]