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样条半解析法计算变厚度板
引用本文:王复明,周鸿钧,林皋.样条半解析法计算变厚度板[J].郑州大学学报(工学版),1987(2).
作者姓名:王复明  周鸿钧  林皋
作者单位:郑州工学院,郑州工学院,大连工学院
摘    要:本文将板的位移函数表示为三次样条函数与梁振型函数的乘积形式,利用位移变分原理建立控制方程,为变厚度板的计算提出一个解析半数值方法。与有限元法以及有限条法相比,计算量和内存要求得到显著节省,利用微机或袖珍机(PC—1500)即可方便地实现。数值算例表明,本文方法具有较高的计算精度。

关 键 词:变厚度板  样条函数  半解析方法

THE NEW CALCULATION METHODS OF THE MAXIMUM SURGE VALUE OF SURGE TANKS
Ji Kui.THE NEW CALCULATION METHODS OF THE MAXIMUM SURGE VALUE OF SURGE TANKS[J].Journal of Zhengzhou University: Eng Sci,1987(2).
Authors:Ji Kui
Affiliation:Department of Hydraulic Engineering
Abstract:In this paper the new formulas used to culculate the maximum surge value of all kinds of surge tanks are derived by means of the energy conservation law. Here, in this paper, are only formulas to culculate the maximum surge value of the surge shafts with expansion chambers and the differential surge tank introduced. And the comparative culculations of a lot of particular case histories with the new method and the common analytical method are made. The comparative analysis of the results is shown in the table. The comparison of the results has amply proved that the results of culculation with the new and analytical methods are approximate. The new method can give acceptable results to the preleminary stage of the design and is easy to use.
Keywords:differential surge chamber  double-chamber surge chamber  swell waves
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