| 卷积型加权残值法求解薄板的动力学问题 |
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| 引用本文： | 李永莉, 赵志岗, 侯志奎. 卷积型加权残值法求解薄板的动力学问题[J]. 工程力学, 2006, 23(1): 43-46. |
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| 作者姓名： | 李永莉 赵志岗 侯志奎 |
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| 作者单位： | 1.济南大学, 济南, 250022;2. 天津大学, 天津, 300072;3. 中铁十四局, 济南, 250013 |
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| 摘 要： | 结构动力分析是工程设计中的重要内容,寻找高效、准确的计算方法是正确、经济地进行结构工程设计的重要保证。利用一种求解弹性动力学初边值问题的新方法——卷积型加权残值法,推导出Gurtin变分原理,并应用卷积型加权残值法计算了两种边界条件薄板的动力学问题,算例表明,方法计算精度高,计算工作量少,是计算结构动力学问题的一种有效的方法。
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| 关 键 词： | 结构动力学 加权残值法 卷积 薄板 变分原理 |
| 文章编号： | 1000-4750（2006）01-0043-04 |
| 收稿时间： | 2003-12-25 |
| 修稿时间： | 2003-12-252004-07-11 |
DYNAMIC ANALYSIS OF THIN PLATES BY CONVOLUTION-TYPE WEIGHTED RESIDUAL METHOD |
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| LI Yong-li, ZHAO Zhi-gang, HOU Zhi-kui. DYNAMIC ANALYSIS OF THIN PLATES BY CONVOLUTION-TYPE WEIGHTED RESIDUAL METHOD[J]. Engineering Mechanics, 2006, 23(1): 43-46. |
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| Authors: | LI Yong-li ZHAO Zhi-gang HOU Zhi-kui |
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| Affiliation: | 1.Jinan University, Jinan 250022, China;2. Tianjin University, Tianjin 300072, China;3. China Railway No.14 Subsidiary Co, Jinan 250013, China |
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| Abstract: | Structural dynamic analysis is important for structural design. A simple and accurate method can ensure structural design to be accomplished efficiently. The convolution-type weighted residual method is a new method, which is applied to dynamic problems. In this paper Gurtin variational principles are derived by convolution-type WRM. And the convolution-type weighted residual method is applied to dynamic problems of thin plates with different boundary condition and load. Numerical examples show that convolution-type WRM is very simple, highly accurate and effective. |
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| Keywords: | structural dynamics method of weighted residuals convolution thin plate variational principle |
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