轴对称变厚度扁球壳的非线性弯曲问题<sup>*</sup>

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轴对称变厚度扁球壳的非线性弯曲问题^*

基金项目: * 机电部科学基金资助

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.
- 扁球壳 /
- 变厚度 /
- 非线性分析 /
- 插值矩阵法
Abstract: Based on the differential equation of the nonlinear bending of shallow spherical shells with variable thickness under axisymmetrical loads, this paper 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.
- shallow spherical shell /
- variable thickness /
- nonlinear analysis /
- interpolating matrix method

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