| Euler梁自由振动的Hermite再生核无网格分析 |
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| 引用本文： | 林振庭,王东东,轩军厂.Euler梁自由振动的Hermite再生核无网格分析[J].厦门大学学报(自然科学版),2010,49(2). |
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| 作者姓名： | 林振庭 王东东 轩军厂 |
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| 作者单位： | 厦门大学建筑与土木工程学院,福建,厦门,361005 |
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| 基金项目： | 国家自然科学基金，福建省高等学校新世纪优秀人才支持计划 |
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| 摘 要： | 基于Hermite再生核无网格近似,建立了Euler梁自由振动分析的伽辽金无网格离散方程.针对常见的几种典型边界条件的Euler梁自由振动问题,详细分析了前两阶频率的误差和收敛性.结果表明,与传统仅采用挠度近似的伽辽金无网格法和Hermite有限元法相比,考虑节点转角对挠度近似影响的Hermite无网格方法具有更高的精度,为Euler梁振动分析提供了一种高精度的数值方法.
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| 关 键 词： | 无网格法 Euler梁 Hermite再生核近似 自由振动 固有频率 |
Free Vibration Analysis of Euler Beam Using Hermite Reproducing Kernel Meshfree Method |
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| LIN Zhen-ting,WANG Dong-dong,XUAN Jun-chang.Free Vibration Analysis of Euler Beam Using Hermite Reproducing Kernel Meshfree Method[J].Journal of Xiamen University(Natural Science),2010,49(2). |
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| Authors: | LIN Zhen-ting WANG Dong-dong XUAN Jun-chang |
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| Institution: | LIN Zhen-ting,WANG Dong-dong*,XUAN Jun-chang(School of Architecture , Civil Engineering,Xiamen University,Xiamen 361005,China) |
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| Abstract: | A free vibration analysis of Euler beam using a Galerkin meshfree formulation with the Hermite reproducing kernel approximation is presented.Based upon the proposed approach the free vibration analysis of Euler beam with various typical boundary conditions is performed and the error and convergence behavior of the fundamental and second frequencies are studied in details.It is uniformly confirmed that compared with the conventional reproducing kernel meshfree method and the Hermite finite element method,the... |
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| Keywords: | meshfree methods Euler beam Hermite reproducing kernel approximation free vibration natural frequencies |
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