横观各向同性热弹性梁的精化理论  

A REFINED THEORY FOR TRANSVERSELY ISOTROPIC THERMOELASTIC BEAM UNDER BENDING DEFORMATION

作　　者：刘婷婷[1] 赵宝生[1] 

机构地区：[1]辽宁科技大学机械工程与自动化学院,鞍山114051

出　　处：《固体力学学报》2014年第6期534-538,共5页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(11172319)资助

摘　　要：论文从横观各向同性梁的二维问题出发,研究了横观各向同性热弹性梁的精化理论.首先,在不作任何预先假设的条件下,利用横观各向同性热弹性理论和Lur’e算子函数,获得了由梁中线上的物理量表示的位移场和应力场.对热弹性梁上下表面承受非齐次边界条件的情况,推导出梁的近似控制微分方程.再舍去温度项,则横观各向同性热弹性梁的精化理论退化为横观各向同性梁的精化理论.In this paper,a refined theory was adopted to study the bend deformation of transversely i- sotropic thermoelastic beam. First, the displacement and stress components of thermoelastic beam were solved using the transversely isotropic thermoelastic theroy and Lur＇e method where no any assumptions were adopted. Then,an approximate beam equation was obtained for the beam applied to nonhomogeneous boundary conditions. The refined theory of transversely isotropic thermoelastic beam can be degenerated in- to the refined theory of beam for a transversely isotropic body if the temperature item is omitted.

关 键 词：热弹性梁 横观各向同性 精化理论 Lur’e方法 通解 

分 类 号：O343.6[理学—固体力学]