3D-DEGENERATED THERMAL SHELL ELEMENTANALYSIS IN COMPOSITE LAMINATES
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摘要: 根据壳元的几何形状规定, 推导了壳元几何关系公式; 假设温度沿壳元厚度是二次多项式分布, 在给定边界条件下, 推导了壳元温度函数表达式; 根据传热定理和有限元离散原理, 推导了复合材料热传导系数从材料坐标系到有限元分析的等参元正则坐标系的变换关系, 建立了各向异性复合材料层合板的有限元热分析列式; 通过积分变换, 推导了三维退化热壳元公式。在此工作基础上, 编制了有限元计算程序, 将计算结果和ANSYS 计算结果进行了比较, 结果吻合较好。经证明, 三维退化热壳元可以节省内存和提高计算效率。Abstract: According to the geomet ric form of a shell element , geomet ric formulations of the shell element are deduced. This paper supposes that temperature has quadratic variation through layers of the shell element , and givesthe expression of temperature functions in given boundary conditions. In this paper , the orthot ropic feature of material property is considered ; heat conductivity can be t ransformed from material coordinates into element coordinatesand then the formulations of thermal analysis are deduced. Finite element formulations are established using 3D-degenerated shell element and then thermal shell formulations are gotten. Thus this method can change 3D problemsinto 2D problems. Then a program is designed to test this theory. It not only has the same precision with isoparamet ric element , but also improves the efficiency of analysis. It also can save memory of computer and running time.The numerical result s are compared with ANSYS result s and are satisfactory.
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Keywords:
- 3D-degenerated shell /
- conductivity /
- orthot ropic /
- thermal shell /
- transfer analysis
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