| 复合材料旋转壳非线性稳定性分析计算 |
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| 引用本文： | 黄劲松,曾广武.复合材料旋转壳非线性稳定性分析计算[J].应用数学和力学,2000,21(2):185-191. |
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| 作者姓名： | 黄劲松 曾广武 |
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| 作者单位： | 1.武汉水利电力大学水利水电学院水力发电工程系, 武汉 430072; |
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| 摘 要： | 利用前屈曲一致理论和能量变分法分析计算了复合材料旋转壳非线性稳定性.前屈曲应变-位移关系采用非线性的卡门方程,能量积分采用数值积分,用势能最小原理求解前屈曲位移和内力,提出了求解临界载荷的实用计算方法,用FORTRAN语言编制了相应的计算机程序,并给出了算例.
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| 关 键 词： | 复合材料 旋转壳 非线性 稳定性 |
| 收稿时间： | 1998-06-17 |
| 修稿时间： | 1998-06-17 |
Analysis and Calculation of the Nonlinear Stability of the Rotational Composite Shell |
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| Huang Jinsong,Zeng Guangwu.Analysis and Calculation of the Nonlinear Stability of the Rotational Composite Shell[J].Applied Mathematics and Mechanics,2000,21(2):185-191. |
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| Authors: | Huang Jinsong Zeng Guangwu |
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| Institution: | 1.College of Hydroelectric Engineering, Wuhan University of Hydraulic and Electric Engineering, Wuhan 430072, P. R. China;2.College of Communications Science and Technology, Huazhong University and Technology, Wuhan 430074, P. R. China |
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| Abstract: | By adopting the energy method,a new method to calculate the stability of the composite shell of revolution is presented.This method takes the influence of nonlinear prebuckling deformations and stresses on the buckling of the shell into account.The relationships between the prebuckling deformations and strains are calculated by nonlinear K?rm?n equations.The numerical method is used to calculate the energy of the total system.The nonlinear equations are solved by combining gradient method and amendatory Newton iterative method.The computer program is also developed.An example is given to demonstrate the accuracy of the method presented. |
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| Keywords: | composite material rotational shell stability nonlinear |
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