置入Winkler地基内定常温度热弹性梁的精化理论  

Refined theory of thermoelastic beam posting inside Winkler foundation

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,辽宁鞍山114051

出　　处：《辽宁科技大学学报》2014年第4期369-373,共5页Journal of University of Science and Technology Liaoning

基　　金：国家自然科学基金项目(11172319)

摘　　要：研究置入Winkler地基内定常温度热弹性梁的精化理论,为工程应用提供理论基础。首先根据Biot通解和Lur’e方法,将二维问题转化为一维问题进行分析,获得热弹性梁利用一维函数表示的位移场和应力场。再根据Winkler地基条件,获得精确挠度控制方程。为了适应工程实际应用,将高阶项略去,获得置入Winkler地基内定常温度热弹性梁的近似挠度控制方程。去掉地基系数或温度项,该结果可退化为热弹性梁的精化理论和Winkler地基内弹性梁的精化理论。The refined theory of thermoelastic beam posting inside Winkler foundation is studied in this paper.On the basis of Biot solution and Lur＇e method,the two-dimensional problem is turned into a one-dimensional problem and the displacements and stress components of thermoelastic beam are obtained. Using the boundary conditions of Winkler foundation,the exact control equation is given. In order to adapt to the practical application of engineering,the higher-order is omitted,and the approximate deflection equations are obtained. If the foundation coefficient or the temperature item is omitted,the refined theory of thermoelastic beam posting inside Winkler foundation can be degenerated into the refined theory of thermoelastic beam and the refined theory of elastic beam posting inside Winkler foundation.

关 键 词：精化理论 热弹性梁 Biot通解 WINKLER地基 

分 类 号：O343[理学—固体力学]