| 用无网格局部Petrov—Galerkin法分析铁木辛哥梁 |
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| 引用本文： | 胡玮军.用无网格局部Petrov—Galerkin法分析铁木辛哥梁[J].邵阳学院学报(自然科学版),2010,7(1):14-17. |
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| 作者姓名： | 胡玮军 |
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| 作者单位： | 邵阳学院,机械与能源工程系,湖南,邵阳,422000 |
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| 基金项目： | 湖南省教育厅科研项目 |
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| 摘 要： | 本文利用无网格局部Petrov—Galerkin法,研究了铁木辛哥梁.采用移动最小二乘形函数对铁木辛哥梁中的挠度和转角分别单独插值,当基函数中多项式取较高阶次时,可以容易消除剪切自锁现象.结果表明,该方法收敛快,精度高,简便有效,其原理同样适用于中厚板的弯曲问题.
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| 关 键 词： | 局部Petrov--Galerkin法 铁木辛哥梁 剪切自锁 |
An Analysis Of Timoshemko Beam By The Locla Meshless Petrov-Galerkin Method |
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| HU Wei-jun.An Analysis Of Timoshemko Beam By The Locla Meshless Petrov-Galerkin Method[J].Journal of Shaoyang University:Science and Technology,2010,7(1):14-17. |
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| Authors: | HU Wei-jun |
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| Institution: | HU Wei-jun (Department of Mechanical , Energy Engineering,Shaoyang University,Shaoyang,China ) |
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| Abstract: | In this paper, the meshless local Pertov---Galerkin method have been used to analyze the bending problem of Timoshenko beam.The deflection and rotation are interpolated separetely using the moving least square approximate functions.Shear locking can easily be resolved by using the higher order polynomial in the basis function. The numerial results show that the present method possesses an excellent rate of convergence and reasonably accurate. The present method can also be used to analyse bending problems for the moderately thick plate. |
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| Keywords: | local Pertrov-Galerkin method Timoshenko beam shear locking |
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