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样条配点法在矩形薄板动力问题中的应用
引用本文:戴小娟,周士森,蔡抒涛.样条配点法在矩形薄板动力问题中的应用[J].浙江工业大学学报,1989(4).
作者姓名:戴小娟  周士森  蔡抒涛
作者单位:浙江工学院机械工程系 (戴小娟,周士森),浙江工学院机械工程系(蔡抒涛)
摘    要:本文应用三次B样条函数与加权残值法相结合的方法,对无精确解的周边固定板的动力问题进行了求解,编制了程序,绘制了图表,并与有限差分法进行了比较。结果表明,样条配点法是一种计算精度高,程序易编,计算工作量少的较为有效的数值方法。

关 键 词:样条函数  加权残值  有限差分

The Application of Spline Collocation Method In Dynamic Problems of Thin Rectangular Plate
Dai Xiaojuan Zhou Shisen Cai Shutao.The Application of Spline Collocation Method In Dynamic Problems of Thin Rectangular Plate[J].Journal of Zhejiang University of Technology,1989(4).
Authors:Dai Xiaojuan Zhou Shisen Cai Shutao
Affiliation:Department of Mechanical Engineering
Abstract:The dynamic problem of the rectangular plate with fixed edges, for which there is not any accurate solution, is solved in this paper by combining the cubic B spline and weighted residuals. The method is compared with the finite differential method. It is evident that the spline collocation method is a more effective numerical method, the computation accuracy of which is high and the program of which is easy to edit. The calculation is timesaving.
Keywords:Spline collocation  Weighted residual  Finite differentia  
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