Thermo-Mechanical Buckling Analysis of Thin Plates
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摘要: 基于Rayleigh-Ritz理论,采用有限元方法,推导了薄板在热力耦合载荷作用下屈曲临界载荷的表达式.假设力载荷与热载荷同时加载,采用MATLAB编译环境编写的有限元程序求解薄板结构在热力耦合载荷作用下的屈曲临界载荷.在做屈曲分析时,热载荷以温度场的形式施加到节点上.采用非均匀温度场加载,分析力载荷分量与热载荷分量对薄板结构失稳的影响.研究结果表明随着给定温度载荷、力载荷的增加或者降低,临界载荷随之增加或者降低,它们几乎呈线性变化.Abstract: Based on the RayleighRitz theory and the finite element method, the expressions of critical buckling loads on thin plates under thermomechanical coupling loads was derived. Under simultaneously imposed mechanical and thermal loads, the finite element program was compiled in the MATLAB environment to solve the buckling critical loads on thin plates. In the buckling analysis, the thermal load was applied at the nodes in the form of temperature field. The effects of mechanical load components and thermal load components on the instability of thin plates were analyzed through nonuniform temperature field loading. The results show that, with the increase or decrease of given thermomechanical loads, the critical load increases or decreases almost linearly.
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Key words:
- thermo-mechanical coupling /
- buckling /
- finite element method /
- thin plate
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