| 机械荷载与热荷载共同作用下变厚度梁的热弹性力学解 |
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| 引用本文： | 徐业鹏,周叮. 机械荷载与热荷载共同作用下变厚度梁的热弹性力学解[J]. 固体力学学报, 2011, 0(Z1) |
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| 作者姓名： | 徐业鹏 周叮 |
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| 作者单位： | 河海大学工程力学系;大连理工大学工业装备结构分析国家重点实验室;南京工业大学土木工程学院; |
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| 基金项目： | 大连理工大学工业装备结构分析国家重点实验室开放基金(GZ1012); 中央高校基本科研业务费资助 |
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| 摘 要： | 本文研究了两端简支变厚度梁受机械荷载与热荷载共同作用下的热弹性力学解.温度场用调和级数展开,通过求解热传导方程可首先确定温度沿梁厚度方向的非线性分布情况.从二维热弹性力学理论的基本方程出发,导出满足控制微分方程和两端简支边界条件的位移函数的一般解,对上下表面的边界方程作傅立叶正弦级数展开确定待定系数,数值结果与商业有限元软件ANSYS进行了比较,显示出很高的精度.本文方法可直接应用于对应力和位移分析要求较高的工程问题,如航空航天和微型机械的设计.
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| 关 键 词： | 梁 变厚度 应力 位移 热弹性力学解 |
THERMOELASTIC SOLUTION OF BEAMS WITH VARIABLE THICKNESS SUBJECTED TOTHERMO-MECHANICAL LOADS |
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| Yepeng Xu, Ding Zhou. THERMOELASTIC SOLUTION OF BEAMS WITH VARIABLE THICKNESS SUBJECTED TOTHERMO-MECHANICAL LOADS[J]. Acta Mechnica Solida Sinica, 2011, 0(Z1) |
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| Authors: | Yepeng Xu Ding Zhou |
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| Affiliation: | Yepeng Xu1,2 Ding Zhou3(1 Department of Engineering Mechanics,Hohai University,Nanjing,210098)(2 State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian,116023)(3 College of Civil Engineering,Nanjing University of Technology,210009) |
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| Abstract: | Thermoelastic solution of simply supported beams with variable thickness subjected to thermo-mechanical loads are investigated in this paper.The temperature field is expressed as a harmonic series expansion whereas the nonlinear temperature profile in the thickness direction is determined by solving the heat conduction equation.On the basis of two-dimensional thermoelasticity theory,the solutions of displacements and stresses of the plate,which exactly satisfy the governing differential equations and the si... |
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| Keywords: | beam variable thickness stress displacement thermoelastic solution |
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