| 文克尔地基上阶梯式矩形板弹性曲面微分方程的解析解 |
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| 引用本文： | 王燮山. 文克尔地基上阶梯式矩形板弹性曲面微分方程的解析解[J]. 力学学报, 1992, 24(6): 754-762. DOI: 10.6052/0459-1879-1992-6-1995-800 |
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| 作者姓名： | 王燮山 |
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| 作者单位： | 北京水利电力经济管理学院 |
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| 摘 要： | 本文应用阶跃函数建立了文克尔地基上阶梯式矩形薄板弹性曲面微分方程,并用初参法和作者引入的W运算符获得了该微分方程解的解析表达式。文中举例说明了本文方法的应用。
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| 关 键 词： | 阶梯式 薄板 弹性曲面 微分方程 |
THE ANALYTICAL SOLUTION OF DIFFERENTIAL EQUATION OF ELASTIC CURVED SURFACE OF STEPPED THIN RECTANGULAR PLATE ON WINKLER''''S FOUNDATION |
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| Wang Xieshan. THE ANALYTICAL SOLUTION OF DIFFERENTIAL EQUATION OF ELASTIC CURVED SURFACE OF STEPPED THIN RECTANGULAR PLATE ON WINKLER''''S FOUNDATION[J]. chinese journal of theoretical and applied mechanics, 1992, 24(6): 754-762. DOI: 10.6052/0459-1879-1992-6-1995-800 |
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| Authors: | Wang Xieshan |
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| Abstract: | In this paper, the differential equation of e'astic curved surface of stepped thin rectangular plate on Winkler's foundation is established by using step function. The analytical expressions of the solution of this differential equation are obtained by initial parametric method and W operator developed in author's earlier papers. As application of present methods, an example is given. |
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| Keywords: | aepped thin plate differential equation of elastic curved surface Winkler's foundation analytical solution W operator |
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