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| 几种非均匀应变有限单元的最大特征频率和稳定的时间步距 | |
| 引用本文： | 陈少林, 廖振鹏. 几种非均匀应变有限单元的最大特征频率和稳定的时间步距[J]. 固体力学学报, 2004, 25(1): 16-20. doi: 10.3969/j.issn.0254-7805.2004.01.004 |
| 作者姓名： | 陈少林 廖振鹏 |
| 作者单位： | 上海交通大学振动、冲击、噪声国家重点实验室,上海,200030; 国家地震局工程力学研究所,哈尔滨,150080 |
| 基金项目： | 地震学联合基金重点项目 ( 95 0 744 2 )资助 |
| 摘 要： | 通过多点高斯积分研究了非均匀应变有限单元的最大特征频率,给出了单相和两相介质若干简单、非均匀应变有限单元最大特征频率上界的计算公式,扩充了Flanagan的研究结果.由此,给出了几种显式积分格式的实用稳定性条件.并通过两相介质的算例,检验了该稳定性条件. |
| 关 键 词： | 模态法 稳定性 特征频率 两相介质 |
| 修稿时间： | 2002-05-15 |
MAXIMUM CHARACTERISTIC FREQUENCIES OF SEVERAL NONUNIFORM STRAIN ELEMENTS AND STABLE TIME STEPS |
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| MAXIMUM CHARACTERISTIC FREQUENCIES OF SEVERAL NONUNIFORM STRAIN ELEMENTS AND STABLE TIME STEPS[J]. Chinese Journal of Solid Mechanics, 2004, 25(1): 16-20. doi: 10.3969/j.issn.0254-7805.2004.01.004 | |
| Authors: | Chen Shaolin Liao Zhenpeng |
| Affiliation: | Chen Shaolin 1 Liao Zhenpeng 2 |
| Abstract: | Considering that the stability results obtained by modal method depend on system maximum characteristic frequency are impractical, the element maximum characteristic frequencies, proved to be the upper bounds of the system frequency, are evaluated in the case of multi-point Gauss integral. Combining the modal method results, some new practical stability conditions are proposed, which complement Flanagan's results in uniform strain case. The new stability conditions are tested to be reasonable through a numerical example of two-phase media. |
| Keywords: | modal method stability characteristic frequency two-phase media |
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