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轴对称变厚度扁球壳的非线性弯曲问题*
引用本文:牛忠荣. 轴对称变厚度扁球壳的非线性弯曲问题*[J]. 应用数学和力学, 1993, 14(11): 971-978
作者姓名:牛忠荣
作者单位:合肥工业大学应用力学所
摘    要:基于导出的变厚度扁球壳轴对称非线性弯曲的控制方程,引用插值矩阵法数值求解.通过算例分析表明,本法易于实施,精度高,且内力与位移具有同阶的精度.

关 键 词:扁球壳   变厚度   非线性分析   插值矩阵法
收稿时间:1992-10-05

Nonlinear Bending of the Shallow Spherical Shells with Variable Thickness under Axisymmetricai Leads
Niu Zhong-rong. Nonlinear Bending of the Shallow Spherical Shells with Variable Thickness under Axisymmetricai Leads[J]. Applied Mathematics and Mechanics, 1993, 14(11): 971-978
Authors:Niu Zhong-rong
Affiliation:Institute of Applied Mechanics, Hcfei University of Technology, Hefei
Abstract:Based on the differential equation of the nonlinear bending of shallow spherical shells with variable thickness under axisymmetrical loads, this papsr studies the numerical solution of the nonlinear differential equation by means of interpolating matrix method, The analysis of the results indicates that the suggested method is easy to implement and obtains the same high accuracy for both the displacements and the internal forces.
Keywords:shallow spherical shell   variable thickness   nonlinear analysis   interpolating matrix method
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