卷积型加权残值法求解薄板的动力学问题

李永莉, 赵志岗, 侯志奎

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.
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.
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.
Citation: 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.

卷积型加权残值法求解薄板的动力学问题

详细信息
  • 中图分类号: O342

DYNAMIC ANALYSIS OF THIN PLATES BY CONVOLUTION-TYPE WEIGHTED RESIDUAL METHOD

  • 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。
    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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出版历程
  • 收稿日期:  2003-12-24
  • 修回日期:  2004-07-10
  • 刊出日期:  2006-01-24

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