摘要
本文提出一种分步迭代的加权残值方法,并从理论上证明了分步迭代的最小二乘法用于求解线性问题时的收敛性。文中应用所提出的方法计算了方形固支板的位移,方形杆的扭转刚度及柔性圆板的大挠度位移和应力。结果表明了文中的方法可逐步提高计算精度。
In this paper, a kind of iterative weighted residual method is suggested. It is shown theoretically that the method of the least square for linear problems is convergent. As examples the deflection of a clamped plate, torsional rigidity of a square bar and the deflection and stress of a flexible circular plate with largedeflection are solved by the method suggested. The results show that accuracy can be improved sucessively.
出处
《上海力学》
CSCD
1989年第4期54-61,共8页
Chinese Quarterly Mechanics
