中厚及薄板杂交模型的优化列式<sup>*</sup>

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中厚及薄板杂交模型的优化列式^*

基金项目: * 国家自然科学基金资助项目

摘要: 文章把杂交元的优化设计原理应用于中厚及薄板问题,导出新的杂交应力4节点20自由度板弯曲单元.该元对各种厚度、形状板的通用性,收敛性以及对极薄板分析的适应性也一并作了考察和讨论.

Abstract: A 20-DOF hybrid stress element based upon Mindlin plate theory is developed using the optimization design method for thin and moderately thick plates.Numerical tests consist of the convergency and performance to the plates with arbitrary thickness and shape and of the ultimate thin plate problems.

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