扁薄球壳非对称大变形问题
Non-Symmetrical Large Deformation of a Shallow Thin Spherical Shell
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摘要: 本文用修正选代法研究了扁球壳非对称大变形问题,求得了在线性液体载荷作用下的扁球壳变形的二次近似解析解并绘出了摄动点的挠度与载荷的特征曲线族.应用本文方法还可对其他板壳的非轴对称大变形问题进行讨论.本文通过算例对平板及不同初挠度的扁球壳大挠度变形进行了讨论.Abstract: By the modified iteration method,in this paper,nonsymmetrical large deflection of a shallow spherical shell is discussed.We solve the second-order approximate analytical solution of the deflection of a shallow spherical shell subjected to linearliquid loads.and portray the characteristic curves of load-deflection on a perturbing point.With this paper's method,the similar questions of other kind of shell can bediscussed.Through the examples.we discuss the large defection of a plane and shallow spherical shells with different initial deflections.
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Key words:
- large deformation /
- non-symmetrical /
- iteration method
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[1] 王新志、王林祥、徐鉴,圆薄板非对称问题,科学通报,34,(1)(1989),8-85. [2] 王新志、王林祥等,圆薄板非轴对称大变形的位移解,自然科学进展,3,(2)(1993),133-144. [3] 王林祥、王新志、邱平,圆薄板非对称大变形弯曲问题,应用数学和力学,13,(12)(1992),1103-1115. [4] R.Herbert and S.P.Peter,Elasticity Theory and Applications,Canada,John Wiley & Sons Inc.,(1980),85-111. [5] 徐芝纶,《弹性力学》(下册)高等教育出版社,北京(1982),181-200. [6] S.铁摩辛柯,S.沃诺斯基,《板壳理论》,《板壳理论》翻译组译,科学出版社,北京(1977),425-455. [7] A.C.沃耳密尔,《柔韧板与柔韧壳》,卢文达等译,科学出版社,北京(1963),157-193. [8] D.N.Paliwal and V.Bhalla,Large deflection analysis of a shallow spherical shell on a pasternak foundation,Inr.J.Yes.Piping,52,2(1992),189-199. -
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