| 李坦,齐朝晖,马旭,陈万吉.Mindlin板弯曲和振动分析的高阶杂交应力四边形单元[J].,2014,54(5):491-498 |
| Mindlin板弯曲和振动分析的高阶杂交应力四边形单元 |
| High-order hybrid stress quadrilateral element for Mindlin plate bending and vibration analysis |
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| DOI：10.7511/dllgxb201405002 |
| 中文关键词: 杂交应力元 Mindlin 板 增强型分片检验 任意阶Timoshenko梁函数 集中质量矩阵 |
| 英文关键词: hybrid stress element Mindlin plate enhanced patch test arbitrary order Timoshenko beam function lumped mass matrix |
| 基金项目:国家自然科学基金资助项目(1107215611102037). |
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| 中文摘要: |
| 基于Mindlin板理论提出了一种高阶八节点杂交应力四边形单元．该单元不仅能通过零剪力分片检验，而且能通过非零常剪力增强型分片检验．单元边界位移插值采用任意阶Timoshenko梁函数，对不同厚跨比的四边简支、固支方板，以及圆板进行了弯曲和自由振动分析，数值结果表明无论对薄板还是中厚板，该单元均是准确和有效的，并且具有几何不变性． |
| 英文摘要: |
| Based on the Mindlin plate theory, a high-order 8-node hybrid stress quadrilateral element is presented. The proposed element can pass not only the zero shear stress patch test, but also the non-zero constant shear stress enhanced patch test. The element boundary displacement is interpolated by arbitrary order Timoshenko beam function.The bending and free vibration of the simply-supported and clamped square and circular plate with different thickness and span ratios are investigated. Numerical results show that the element can be used to analyze both moderately thick and thin plates and it is efficient, accurate and geometric invariant. |
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