| 引用本文: | 雷勇军,赵雪川,唐国金.非局部弹性杆固有频率的Ritz法求解.[J].国防科技大学学报,2006,28(5):1-5.[点击复制] |
| LEI Yongjun,ZHAO Xuechuan,TANG Guojin.Ritz Method for the Frequencies of Nonlocal Elastic Bar[J].Journal of National University of Defense Technology,2006,28(5):1-5[点击复制] |
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| 非局部弹性杆固有频率的Ritz法求解 |
| 雷勇军, 赵雪川, 唐国金 |
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(国防科技大学 航天与材料工程学院，湖南 长沙 410073)
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| 摘要: |
| 采用Ritz法求解了非局部弹性直杆的固有频率问题。非局部弹性理论与经典弹性理论相对应，区别在于非局部理论中，一点的应力与该点以及其周围区域的应变都有关，并采用核函数来表征这种相关性。基于Eringen提出的非局部弹性模型，针对三种给定核函数，用Ritz法进行了直杆的动力学分析。并针对两种边界条件给出直杆的固有频率，与其它方法比较，该方法具有可以针对多种核函数求解，精度可控，易于编程等优点。 |
| 关键词: 非局部弹性体 直杆 固有频率 Ritz法 |
| DOI： |
| 投稿日期：2006-05-15 |
| 基金项目:国家杰出青年基金资助项目(19925209)；国防科技大学预研基金资助项目 |
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| Ritz Method for the Frequencies of Nonlocal Elastic Bar |
| LEI Yongjun, ZHAO Xuechuan, TANG Guojin |
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(College of Aerospace and Materials Engineering, National Univ. of Defense Technology, Changsha 410073，China)
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| Abstract: |
| Ritz method was adopted to study the natural frequency of nonlocal elastic bar. Nonlocal elastic theory, different from classic elastic theory, was presented that the stress of a point is related to the strain of the area around the point, and such a relationship is illustrated by kernel function. Based on Eingen's nonlocal elastic model, a dynamics analysis of nonlocal elastic bar was created by Ritz method with three different kernel functions and the natural frequencies of the bar with two different boundary conditions were supplied. Compared with other methods, this one can deal with different kernel functions. Moreover, its numerical precision is controllable and programming is very convenient. |
| Keywords: nonlocal elasticity bar natural frequency Ritz method |
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