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本文运用混合型级数方法,导出了局部竖向荷载作用下横向简支圆柱形薄壳的解析解,并给出了在五种局部竖向荷载作用下解的解析式.文中给出了纵边自由的圆柱形薄壳屋顶算例,计算结果表明了级数具有较好的收敛性.本文结果可以处理地下结构中的若干实际问题. 相似文献
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本文采用复变量化推导过程,并取(?)常数,导出了侧压力下圆环壳的复变量基本方程。文中选用一般的 Fourier 级数形式特解,结合文〔3〕的齐次解,得出了问题的一般解答。文中算例表明,本文特解收敛很快。本文结果可处理地下工程中的环壳穹顶等若干实际问题。 相似文献
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In this paper, we use the method of mixed-type series to derive the analytical solutions of cylindrical shell, which is simply supported along the transverse edges and subjected to the local vertical loads, and give the analytical expressions of the solutions for this kind of shell under five types of local vertical loading. A numerical example for a cylindrical shell roof, which is simply supported along the transverse edges and is free along the longitudinal edges, is given in this paper and from the calculated results it may be seen that the convergence of the solutions is considerably satisfactory. Using the solutions of this paper, we can deal with some practical problems of underground structure.Project Supported by the National Natural Science Foundation of China and by Scientific and Technical Fund of Ministry of Urban and Rural Construction and Environmental Protection.We are grateful to Mr. Lu Ping who has completed partial numerical calculations. 相似文献
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In this paper,we use the method of mixed-type series to derive the analytical solutionsof cylindrical shell,which is simply supported along the transverse edges and subjected tothe local vertical loads,and give the analytical expressions of the solutions for this kind ofshell under five types of local vertical loading.A numerical example for a cylindrical shellroof,which is simply supported along the transverse edges and is free along the longitudinaledges.is given in this paper and from the calculated results it may be seen that theconvergence of the solutions is considerably satisfactory.Using the solutions of this paper,we can deal with some practical problems of underground structure. 相似文献
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