| 带弹性支撑杆轴向振动问题的精确有限元解 |
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| 引用本文： | 王玉莲,马海涛.带弹性支撑杆轴向振动问题的精确有限元解[J].科学技术与工程,2010,10(23). |
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| 作者姓名： | 王玉莲 马海涛 |
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| 作者单位： | 华南理工大学土木工程系,亚热带建筑科学国家重点实验室,广州,510641 |
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| 摘 要： | 研究了带弹性支撑杆轴向振动问题的精确有限元求解方法.基于齐次控制微分方程的通解构造了新的单元形函数,建立了精确的动力分析有限单元,提出了利用有限元方法精确地确定振动频率和振型的迭代算法.最后通过数值算例,验证了该有限元方法的有效性.
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| 关 键 词： | 形函数 有限元列式 弹性支撑 轴向振动 自振频率 |
| 收稿时间： | 2010/5/23 0:00:00 |
| 修稿时间： | 2010/5/23 0:00:00 |
Exact solutions of axial vibrations of bars on elastic support |
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| wang yulian and ma haitao.Exact solutions of axial vibrations of bars on elastic support[J].Science Technology and Engineering,2010,10(23). |
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| Authors: | wang yulian and ma haitao |
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| Institution: | State Key Laboratory of Subtropical Building Science, Department of Civil Engineering, South China University of Technology |
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| Abstract: | This paper develops an algorithm for exact solutions of axial vibrations of bars on elastic support by finite element method. New element shape functions are constructed by using general solutions of homogeneous governing equation, and an exact element is formulated for the dynamic analysis. An iterative algorithm is proposed and implemented for exact solutions of axial vibration problems of bars on elastic foundation.
Numerical examples are presented to demonstrate the effectiveness of this method. |
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| Keywords: | shape functions finite element formulation elastic support axial vibration natural frequency |
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