样条子域法计算折板问题

Solution of Folded Plate Structures by the Spline Subdomain

  • 摘要: 本文把样条子域法应用到折板结构中,采用三次B样条函数与满足边界条件的级数乘积作为折板的位移函数。应用最小势能原理,建立了折板结构分析的样条子域法。与通用有限元法及有限条法相比,本文方法具有精度高,未知数少,程序易于编制等优点,可在微型机及小型机上解决工程问题。文中给出数值例题,计算结果表明,该方法是十分有效的。

     

    Abstract: In this paper the spline subdomain method is applied to the analy sis of folded plate structures. The cubic B-splines and the series which satisfy the boundary conditions are used for the approximate displacement functions of foldad plate structures. Applying the principle of minimum total potential energy, the spline subdomain method of folded plate structures is derived. in comparison with the ordinary finite method or finite strip methol, the main features of the presented method are of higher aceuracy. less unknown coefficients, easily programmig, etc. A numerical solution is given. The results show that the presented method is quite effective.

     

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