| 均布载荷作用下悬臂不可压饱和多孔梁的非线性变形 |
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| 引用本文： | 杨骁,CAI Yun-shu.均布载荷作用下悬臂不可压饱和多孔梁的非线性变形[J].上海大学学报(英文版),2008,12(4):283-288. |
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| 作者姓名： | 杨骁 CAI Yun-shu |
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| 摘 要： |
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| 关 键 词： | 均布载荷作用 悬臂 不可压饱和多孔梁 非线性变形 |
| 收稿时间： | 2006-10-25 |
| 修稿时间： | 2006-12-26 |
Nonlinear deformation of a cantilever incompressible poroelastic beam under a uniform load |
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| YANG Xiao,CAI Yun-shu.Nonlinear deformation of a cantilever incompressible poroelastic beam under a uniform load[J].Journal of Shanghai University(English Edition),2008,12(4):283-288. |
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| Authors: | YANG Xiao CAI Yun-shu |
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| Institution: | 1. Department of Civil Engineering, Shanghai University, Shanghai 200072, P. R. China
2. Department of Mechanics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | Nonlinear bending of cantilever incompressible poroelastic beams subjected to a uniform load is investigated with the constraint that fluid flow is only in the axial direction. The governing equations for large deflection of the poroelastic beam are derived from theory of incompressible saturated porous media. Then, nonlinear responses of a cantilever beam with impermeable fixed end and permeable free end are examined with the Galerkin truncation method. The deflections and bending moments of the poroelastie beam and the equivalent couples of the pore fluid pressures are shown in figures. The differences of the results between the large deflection and the small deflection theories are analyzed. It is shown that the results of the large deflection theory are smaller than those of the small deflection theory, and the time needed to approach their stationary states for the large deflection theory is shorter than that for the small deflection theory. |
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| Keywords: | theory of porous media poroelastic beam large deflection quasistatic response Galerkin method |
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