| 均布荷载下四边固支矩形薄板的挠度研究 |
| 投稿时间：2021-10-25 修订日期：2021-11-11 点此下载全文 |
| 引用本文：马仁香.均布荷载下四边固支矩形薄板的挠度研究[J].计算机辅助工程,2021,30(4):. |
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| 中文摘要:为求解四边固支矩形薄板在均布荷载作用下的挠度表达式，本文利用叠加法以利维解为基础将复杂问题分解为多个简单问题，然后进行叠加，获得了四边固支矩形薄板在均布荷载作用下的挠度表达式。利用有限元模拟验证表达式的正确性，研究发现有限元结果与公式结果吻合较好，本文利用叠加法求得的挠度表达式具有较高的求解精度，且表达式具有良好的收敛性。基于现有资源，推导出均布荷载下固支矩形薄板的挠度表达式，可供相关人员参考。 |
| 中文关键词:叠加法 均布荷载 矩形薄板 四边固支 挠度 有限元 |
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| Study on Deflection of Rectangular Thin Plates Fixed on Four Sides under Uniform Load |
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| Abstract:In order to solve the deflection expression of rectangular thin plates with four edges fixed under uniform load, this paper uses superposition method to decompose complex problems into several simple problems based on Levi's solution, and then superposes them to obtain the deflection expression of rectangular thin plates with four edges fixed under uniform load. The correctness of the expression is verified by finite element simulation, and it is found that the finite element results are in good agreement with the formula results. The deflection expression obtained by superposition method in this paper has high solution accuracy and good convergence. Based on the existing resources, the deflection expression of fixed rectangular thin plate under uniform load is derived, which can be used as a reference for related personnel. |
| keywords:superposition method,uniform load,Rectangular thin plate,Fixed on four sides,Deflection,Finite element |
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