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力学与实践 ›› 2008, Vol. 30 ›› Issue (6): 28-30.doi: 10.6052/1000-0992-2007-559

• 应用研究 • 上一篇    下一篇

卷积型伽辽金法求解任意边界梁的动力学问题

李永莉 赵志岗 侯志奎   

  1. 山东省济南大学济微路106号土建学院 250022
  • 收稿日期:2007-12-05 修回日期:1900-01-01 出版日期:2008-12-08 发布日期:2008-12-08

THE CALCULATION OF THE DYNAMIC PROBLEM OF A BEAM WITH ARBITRARY BOUNDARY CONDITIONS BY METHOD OF CONVOLUTION-TYPE GALERKIN METHOD

  • Received:2007-12-05 Revised:1900-01-01 Online:2008-12-08 Published:2008-12-08

摘要: 通过选取时间上采用级数形式,空间上采用梁振型函数的试函数,推导出求解任意边界条件 梁的卷积型伽辽金法. 计算了两端固定梁的动力问题,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方法.

关键词: 加权残值法, 卷积, 梁, 伽辽金法

Abstract: The convolution-type Galerkin method is proposed to calculate a beam with arbitrary boundary conditions by using a series function in time domain and the mode shape function of the beam in space domain. The example of the beam with its both ends cramped is calculated and it is shown that highly accurate results can be obtained. The approach is worth further investigation and extension.

Key words: Weighted Residual Method, Convolution, Beam, Galerkin Method