| 径向压力作用下圆环板稳定性问题的大挠度有限元分析 |
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| 引用本文： | 刘东常. 径向压力作用下圆环板稳定性问题的大挠度有限元分析[J]. 华北水利水电学院学报, 1987, 0(1) |
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| 作者姓名： | 刘东常 |
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| 作者单位： | 华北水利水电学院应用力学教研室 |
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| 摘 要： | 本文承受径向压力作用下的圆环板的稳定性问题,采用大挠度理论进行了有限元分析。位移模式采用正交的半解析函数。在刚度矩阵的摧导过程中,采用高斯积分法则进行数值计算,为了简化计算,在被积函数中引入单元的平均无因次直径,从而推导出近似刚度矩阵的显式。
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A Finite Element Analysis on the Large-Deflection for Stability of Round-Ring Plates under Radial Pressure |
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| Abstract: | This paper, using the Large-deflection theory, conducts the finite element analysig for stability of round-ring plates under radial pressure. Displacement models adopt semi-analytical functions In the process of deriving stiffness matrixes, Gauss's integral rule is used for numerical calculation because expressions are too complicated Besides, in order to simpility the calculation, the averaye nondimensional diameters of elements are introduced into the integrated functions, as a result, explicit expressions of approximate stiffness matrixes are deduced. |
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