| 压杆内力与频率关系的有限元法分析 |
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| 引用本文： | 龚玲玲.压杆内力与频率关系的有限元法分析[J].科学技术与工程,2009,9(21). |
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| 作者姓名： | 龚玲玲 |
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| 作者单位： | 华南理工大学土木与交通学院,广州,510640 |
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| 摘 要： | 采用三次函数作为压杆单元的位移函数,基于能量变分原理,构造了一种可以考虑初始内力及边界条件的压杆单元.采用该单元导出了可以充分考虑各种边界条件和变截面影响的有限元振动频率方程,由此可得到压杆的内力与频率的对应关系,并由ω=0,解得其临界值.采用Matlab软件编制了相应的内力及临界值计算的有限元程序.在此基础上,分析了压杆的边界条件,以及孔洞率等因素对频率计算的影响.
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| 关 键 词： | 频率法 压杆稳定 临界值 有限元法 |
| 收稿时间： | 8/8/2009 6:14:46 PM |
| 修稿时间： | 8/10/2009 9:35:58 AM |
A new finite element solution for internal force and frequencies analysis of the compressed bar |
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| GONG Lingling.A new finite element solution for internal force and frequencies analysis of the compressed bar[J].Science Technology and Engineering,2009,9(21). |
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| Authors: | GONG Lingling |
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| Abstract: | use the cubic function to be the displacement funtion, then base on the energy variation principle, the natural vibration equation is derived, which considers the pressure force and the boundary conditions of the compressed bar. This method can take the influence of arbitrary boundary and variable cross-section into account. As the corresponding relation between the pressure and frequencies is obtained, the critical force can get by .also,the influence of the sectional characteristic and boudary condition to this method is analysed. |
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| Keywords: | frequency equation stability of pressed bar critical force finite element method |
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