| 弹性地基上Timoshenko梁的精确数值解 |
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| 引用本文： | 高兴军,马海涛,陈太聪.弹性地基上Timoshenko梁的精确数值解[J].计算力学学报,2011,28(6):904-908. |
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| 作者姓名： | 高兴军 马海涛 陈太聪 |
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| 作者单位： | 华南理工大学土木工程系亚热带建筑国家重点实验室,广州,510640 |
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| 基金项目： | 华南理工大学亚热带建筑科学国家重点实验室自主研究课题2008ZA08,2008ZC21资助项目. |
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| 摘 要： | 研究了弹性地基上Timoshenko梁的高精度有限元分析方法，利用控制微分方程的基本解建立了单元形函数，提出了弹性地基上Timoshenko梁分析的Trefftz单元。通过对引入的非节点自由度进行静力凝聚，得到的精确单元与常规单元具有相同的节点自由度。文中还讨论了有效降低计算过程中舍入误差的方法。算例结果表明，采用提出...
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| 关 键 词： | 弹性地基 Timoshenko梁 Trefftz单元 精确数值解 |
| 收稿时间： | 2010/5/13 0:00:00 |
| 修稿时间： | 9/6/2010 12:00:00 AM |
Exact numerical solutions of Timoshenko beams on elastic foundations |
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| GAO Xing-jun,MA Hai-tao and CHEN Tai-cong.Exact numerical solutions of Timoshenko beams on elastic foundations[J].Chinese Journal of Computational Mechanics,2011,28(6):904-908. |
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| Authors: | GAO Xing-jun MA Hai-tao and CHEN Tai-cong |
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| Institution: | State Key Laboratory of Subtropical Building Science, Department of Civil Engineering, South China University of Technology, Guangzhou 510640, China;State Key Laboratory of Subtropical Building Science, Department of Civil Engineering, South China University of Technology, Guangzhou 510640, China;State Key Laboratory of Subtropical Building Science, Department of Civil Engineering, South China University of Technology, Guangzhou 510640, China |
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| Abstract: | This paper presents a study on the exact finite element solution of Timoshenko beams on elastic foundation.New shape functions are constructed using the general solution of governing differential equations of equilibrium and a Trefftz element is developed.The proposed exact element has the same nodal degrees of freedom as the conventional element after the nodeless degree of freedom introduced in the derivation is condensed at the element level.Methods for avoiding possible numerical errors due to roundoff errors are also discussed.Numerical examples are presented to demonstrate the efficiency of the new element. |
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| Keywords: | elastic foundations Timoshenko beams Trefftz element exact numerical solutions |
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