| 样条无单元法在弹性薄板振动问题中的应用 |
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| 引用本文： | 李秀梅,秦荣,王建军.样条无单元法在弹性薄板振动问题中的应用[J].广西大学学报(自然科学版),2007,32(1):10-13. |
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| 作者姓名： | 李秀梅 秦荣 王建军 |
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| 作者单位： | 广西大学,土木建筑工程学院,广西,南宁,530004 |
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| 基金项目： | 建设部科技基金
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广西科学研究与技术开发计划项目 |
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| 摘 要： | 本文以结构动力微分方程和三次B样条函数为基础,按一致质量矩阵,推导出样条无单元法分析弹性薄板动力问题的具体计算格式,并编制了相应的计算程序.该方法适用于不同边界条件的弹性薄板的动力特性分析,计算结果表明,本文方法求解薄板动力的特征值问题具有较高精度、易于实施等优点,用较少的结点离散就能获得较好的结果.
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| 关 键 词： | 薄板 无单元法 样条函数 弯曲振动 自振频率 振型 |
| 文章编号： | 1001-7445(2007)01-0010-04 |
| 修稿时间： | 2006-10-21 |
Element-free spline method for thin plate vibration analysis |
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| LI Xiu-mei,QIN Rong,WANG Jian-jun.Element-free spline method for thin plate vibration analysis[J].Journal of Guangxi University(Natural Science Edition),2007,32(1):10-13. |
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| Authors: | LI Xiu-mei QIN Rong WANG Jian-jun |
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| Institution: | College of Civil and Architectural Engineering, Guangxi University, Nanning 530004, China |
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| Abstract: | In this paper,the Element-free Spline Method is used for the vibration analysis of the bending thin plate with various boundaries,and the corresponding computing formulas were developed,in which the consistent mass matrix was adopted.Numerical results show that the accuracy of this method for the vibration analysis of elastic bending thin plate is satisfactory.Therefore,it is reasonable and feasible for using the Element-free Spline Method in the vibration problems of thin plate. |
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| Keywords: | Element-free Method thin plate flexural vibration spline interpolating function natural vibration frequency vibration modal |
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