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变厚圆形薄板的样条积分方程法及其程序
引用本文:王左辉,王有成. 变厚圆形薄板的样条积分方程法及其程序[J]. 合肥工业大学学报(自然科学版), 1988, 0(3)
作者姓名:王左辉  王有成
作者单位:Wang Zuohui,Wang Youcheng
摘    要:本文采用样条积分万程法求解变厚圆形薄板的轴对称弯曲问题。变厚模式、边界条件和荷载类型都可以是任意的,对圆板和环板的计算程序也是统一的。由于对变量沿径向采用样条插值,只要用少量自由度就可给出跟精确解良好符合的成果,而且可以在微机上实现全部计算。

关 键 词:积分方程  样条函数  薄板  变厚

SPLINE: INTEGRAL EQUATION METHOD AND PROGRAM DESIGN FOR VARIABLE THICKNESS CIRCULAR PLATE
Wang Zuohui,Wang Youcheng. SPLINE: INTEGRAL EQUATION METHOD AND PROGRAM DESIGN FOR VARIABLE THICKNESS CIRCULAR PLATE[J]. Journal of Hefei University of Technology(Natural Science), 1988, 0(3)
Authors:Wang Zuohui  Wang Youcheng
Abstract:In this paper, the method of integral equation is employed to solve the axisymmetric bending problem of variable thickness circular plate,Thickness varying mode, boundary condition and loads aeted on plate can be arbitrary. The problems of circular plates and annular plates can be computed in one program. Because variables are interpo; ated by spline function along radial direction. The results with fine precision can be obtained as only a few of degrees of freedom are considered, and all of solutions can be computed in microcomputer.
Keywords:integral equation   spline function   Kirchhoff's plate   variable thickness.
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