Nonlinear Bending of Shallow spherical Shells on the Pasternak Foundations

Lin Jia-ji; Xi Xing-zhong; Cao Ai-qua

Volume 12 Issue 5

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Article Navigation > Applied Mathematics and Mechanics > 1991 > 12(5): 429-434

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.

Citation:

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.

Citation:

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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Nonlinear Bending of Shallow spherical Shells on the Pasternak Foundations

Xi'an Institute of Metallurgy and Construction and Engineering, Xi'an

Received Date: 1990-03-07
Publish Date: 1991-05-15

Abstract

Abstract

Based on Karman's nonlinear fundamental differential equations, the new approach, which combines modi/led 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 are in good agreement with existent ones.
- shallow sphericall/pasternak foundation,
- modified iteration method,
- nonlinear bending,
- Galerkin’s method

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