| 间断伽辽金法(DGM)求解弹性地基梁问题 |
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| 引用本文： | 艾智勇,王全胜,王熹.间断伽辽金法(DGM)求解弹性地基梁问题[J].岩土力学,2008,29(Z1):603-606. |
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| 作者姓名： | 艾智勇 王全胜 王熹 |
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| 作者单位： | 同济大学,地下建筑与工程系,岩土及地下工程教育部重点实验室,上海,200092 |
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| 摘 要： | 间断伽辽金法使用节点位移一类未知数作为测试函数,削弱了内部单元边界上的一阶及n阶导数的连续性,大大降低了构造形函数的难度,特别适合控制方程为高阶微分方程问题的求解.基于间断伽辽金法的基本原理,推导了弹性地基梁四阶微分控制方程的积分"弱"形式,编制了计算程序,进行了数值计算和收敛性分析.计算结果表明:用间断伽辽金法求解弹性地基梁问题是十分有效率的.
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| 关 键 词： | 间断伽辽金法 弹性地基梁 连续性 测试函数 |
| 收稿时间： | 2008-07-25 |
Discontinuous Galerkin method for elastic foundation beam problems |
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| AI Zhi-yong,WANG Quan-sheng,WANG Xi.Discontinuous Galerkin method for elastic foundation beam problems[J].Rock and Soil Mechanics,2008,29(Z1):603-606. |
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| Authors: | AI Zhi-yong WANG Quan-sheng WANG Xi |
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| Institution: | Department of Geotechnical Engineering，Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China |
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| Abstract: | Discontinuous Galerkin method(DGM) used node displacement approximations as trial functions,and weakened the continuity of first order and n-th order differential in the internal element boundary,reduced the difficulty to construct the shape functions,so this method is especially fit for solving the problem of higher order differential equation.Based on the principle of DGM,the integral weak form of the forth order differential control equation of elastic foundation beam is established.Numerical calculation... |
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| Keywords: | discontinuous Galerkin method rlastic foundation beam continuity trial functions |
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