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| 考虑地基分布反力的弹性基础板有限元计算 |
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刘晓青1,李同春1,李文虎2
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1. 河海大学水利水电工程学院,江苏南京,210098
2. 河海大学水利水电工程学院,江苏南京,210098;常州工学院,江苏常州,213002
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| 摘要: |
| 按平面问题与薄板弯曲问题描述基础板，建立了基础扳同地基接触面上的节点位移与板中心面位移之间的转换关系式．假设板上荷载按分布力形式传递到地基中，根据半无限空间上某节点力与该处的位移关系，用高斯积分法建立了地基表面分布力与节点位移关系表达式．据此，再根据地基与板间的位移协调及静力平衡条件，建立了以板的中心面位移为未知量的有限元方程．算例表明，考虑地基分布反力十分必要． |
| 关键词: 分布反力 弹性基础板 半无限地基 有限单元法 薄板弯曲 节点位移 |
| DOI： |
| 分类号:TU348 |
| 基金项目: |
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| Finite element calculation of elastic foundation plate considering distributional reaction of foundation |
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LIU Xiao-qing,LI Tong-chun,LI Wen-hu
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LIU Xiao-qing~1,LI Tong-chun~1,LI Wen-hu~
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| Abstract: |
| The plate on the elastic foundation is simulated according to the theory of both plane and bending problems, and the nodal displacements on the interface between the plate and the foundation are represented by the displacements on the middle surface of the plate. Assuming the load on the plate is transmitted in distributional state to the foundation, on the basis of the relationship between the nodal force and its displacement on the semi-infinite surface, the relationship between the distributional forces on the foundation surface and the nodal displacements is developed by use of the Gaussian integral method. Based on the conditions of compatible displacement and static force equilibrium, the finite element equations are built with the displacements of the middle surface as unknown variables. And the given example shows that it is essential to consider the distributional forces on the interface between the plate and the foundation. |
| Key words: distributional reaction,elastic foundation plate,semi-infinite foundation,finite element method |
