【摘要】 本文用加权残数法分析薄板弯曲问题。选正弦级数与多项式和样条梁函数为矩形薄板的试函数(位移函数),ω=CXY,使梁函数X、Y变量分离,用双重幂级数做试函数分析平行四边形薄板,并推导平行四边形板的斜坐标系偏微分方程及其边界条件,经通过最小二乘法的直接法及最小二乘配点法对几种边界条件做计算,证明所选试函数的待定参数最少,具有较好的收敛性,精度较高。更多还原

【Abstract】 In this paper, the method of weighted residuals is used to analyze the bendingproblems of the thin plates, where Sine series and the polynomial expression, spline function of beam are chosen for analyzing the rectangular plates, and the double power series for parallelogram plates. Partial differential equation and boundary conditions are derived for parallelogram plates in skew coordinate system. Several boundary conditions are calculated by the least square method of the direct method and the collocation method of the least square method. A good approximation of higher accuracy is obtained with less parameters encountered.更多还原