| 球壳轴对称弯曲问题共轭二阶挠度微分方程 |
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| 引用本文： | 范存旭. 球壳轴对称弯曲问题共轭二阶挠度微分方程[J]. 力学学报, 2007, 39(5): 704-707. DOI: 10.6052/0459-1879-2007-5-2006-442 |
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| 作者姓名： | 范存旭 |
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| 作者单位： | 武汉理工大学,武汉,430070 |
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| 摘 要： | 提出球壳轴对称弯曲问题共轭二阶挠度微分方程并给出了初等函数解.球壳微分方程是薄壳理论三大壳之一旋转壳的典型方程. 共轭二阶挠度微分方程是球壳中微分方程形式最简单的, 是人们最喜爱的挠度微分方程. 挠度微分方程满足边界条件非常简单, 使球壳的计算得到很大的简化.
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| 关 键 词： | 球壳 轴对称 挠度 微分方程 初等函数解 |
| 文章编号： | 0459-1879（2007）05-0704-04 |
| 收稿时间： | 2006-09-13 |
| 修稿时间： | 2006-09-13 |
CONJUGATE SECOND-ORDER DEFLECTION DIFFERENTIAL EQUATION OF GLOBAL SHELL AXIAL SYMMETRICAL BENDING PROBLEM |
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| Fan Cunxu. CONJUGATE SECOND-ORDER DEFLECTION DIFFERENTIAL EQUATION OF GLOBAL SHELL AXIAL SYMMETRICAL BENDING PROBLEM[J]. chinese journal of theoretical and applied mechanics, 2007, 39(5): 704-707. DOI: 10.6052/0459-1879-2007-5-2006-442 |
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| Authors: | Fan Cunxu |
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| Affiliation: | Wuhan University of Technology,Wuhan 430070,China |
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| Abstract: | In this paper,the conjugate second-order deflection differential equation is derived for the global shell axial symmetrical bending problem,and the solution in elementary functions is obtained. Shell of revolution is one of the three basic shells in thin shell theory and the global shell differential equation is a typical equation for shell of revolution.The conjugate second-order deflection differential equation is not only the simplest global shell differential equation but also the deflection differential equation most commonly used.Differential equation of deflections can satisfy the boundary conditions simply,which simplifies the calculation. |
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| Keywords: | global shell axial symmetry deflections differential equation solution of elementary function |
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