【摘要】 本文将薄板弯曲问题的4阶微分方程,化为两个2阶微分方程,并提出了一个与之相应的三变量广义变分原理,然后从这个原理出发,进行有限元求解。该方法不但成功地将C~1连续性条件降为C~0问题,而且降低了板单元的自由度数目,同时单元的精度也是令人满意的。更多还原

【Abstract】 The paper transforms the thin plate bending problem from fourth order differential equation into two second order ones and presents a relative generalized variational principle with three kinds of variables. Based on the principle . a new kind of element is suggested. By means of this method, not only is C1 continuity successfully dropped to C0 continuity, but the number of nodal parameters is reduced as well. The accuracy of the element is also satisfying.更多还原