| 应用P—S曲线分析非线弹性地基上的欧拉——伯努利梁 |
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| 引用本文： | 牛文杰.应用P—S曲线分析非线弹性地基上的欧拉——伯努利梁[J].岩土工程技术,2011,25(2):64-67. |
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| 作者姓名： | 牛文杰 |
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| 作者单位： | 浙江大学,水工结构及环境工程研究所,浙江杭州,310058 |
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| 基金项目： | 第四十七批博士后科学基金 |
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| 摘 要： | 在较大外荷载下，搁置在地基上的Bernoulli—Euler梁下部的土体会发生塑性变形。在使用有限差分法离散了文克勒地基梁（Winkler）的控制方程后，形成了线性代数方程组，然后调用计算机Fortran程序进行了求解。利用p-s曲线，通过迭代，使用有限差分法求解了考虑土体塑性的变基床系数的Winkler地基梁的位移。计算结果表明：通过p-s曲线和变基床系数的Winkler地基梁模型，可近似分析出地基在外荷载作用下是进入弹性阶段还是弹塑性阶段，并给出较为合适的地基沉降值。最后，讨论了算法的应用范围。
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| 关 键 词： | 土体塑性 Bernoulli—Euler梁 非线弹性地基 P-5曲线 有限差分法 |
Application of p-s Curve in the Analysis of Bernoulli-Euler Beam on Non-linear Elasticity Foundation |
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| Niu Wenjie.Application of p-s Curve in the Analysis of Bernoulli-Euler Beam on Non-linear Elasticity Foundation[J].Geotechnical Engineering Technique,2011,25(2):64-67. |
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| Authors: | Niu Wenjie |
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| Institution: | Niu Wenjie (Hydraulic structure and environment engineering research institute, Zhejiang University, Hangzhou 310058,Zhejiang,China ) |
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| Abstract: | Under large load, plastic deformations occur in foundation soil below Bernoulli-Euler girder. Linear algebra equations were derived after the Winkler foundation beam governing equations were diseretized with Finite Difference Method. Computer program Fortran was called to solve these equations. Then by p s curve through iterative computations, beam deflection considering subgrade reaction coefficient variation with Load was obtained with Finite Difference Method. Results indicate that by p-s curve and Winkler foundation beam model considering subgrade reaction coefficient variation with load, one can approximately judge whether supporting ground soil is in elastic stage or elastoplastic stage, and the deflection can be determined relatively properly. At last, the application scope of this method is discussed. |
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| Keywords: | supporting ground soil plasticity bernoulli-Euler beam non-linear elasticity foundation p-s curve finite difference method |
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