| 双参数弹性地基上圆底扁球壳的非线性弯曲 |
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| 引用本文： | 林家骥,惠兴中.双参数弹性地基上圆底扁球壳的非线性弯曲[J].应用数学和力学,1991,12(5):429-434. |
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| 作者姓名： | 林家骥 惠兴中 |
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| 作者单位： | 西安冶金建筑学院
(林家骥，惠兴中)，西安冶金建筑学院(曹爱群) |
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| 摘 要： | 本文从Krmn型非线性基本微分方程出发,提出了将修正迭代法和伽辽金法联合应用,分析了Pasternak弹性地基上周边固定凹圆底扁球壳在均匀压力作用下的非线性弯曲问题,给出了荷载与挠度间的数学表达式,其所得结果与已有文献结果吻合较好,且简明、计算量小.
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| 关 键 词： | 扁球壳/弹性地基 非线性弯曲 修正迭代法 伽辽金法 |
Nonlinear Bending of Shallow spherical Shells on the Pasternak Foundations |
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| Lin Jia-ji Xi Xing-zhong Cao Ai-qua.Nonlinear Bending of Shallow spherical Shells on the Pasternak Foundations[J].Applied Mathematics and Mechanics,1991,12(5):429-434. |
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| Authors: | Lin Jia-ji Xi Xing-zhong Cao Ai-qua |
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| Abstract: | Based on Karman's nonlinear fundamental differential equations, the new approach, which combines modified iteration method with Galerkin's one, Has been put forward to solve nonlinear bending of shallow spherical shell with concave base and clamped edges on the Pasternak foundation under uniform loads in this paper. Mathematical expression of load-deflection has been given; furthermore, results obtained arc in good agreement with existent ones. |
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| Keywords: | shallow spherical Pasternak foundation modified iteration method nonlinear bending Galerkia's method |
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