偏心加筋板的弹性屈曲分析

本文在同时计及板和偏心筋条的面内和面外位移的情况下,建立了能适应各种筋条尺寸和位置的离散型偏心加筋板稳定性控制方程式,采用半解析数值方法把因筋条偏心而产生的三个耦合偏微分方程转化为常系数微分方程,并采用加权残值方法导出齐次方程组,最终化为广义特征值问题予以求解.数值计算结果表明,本文方法简便可靠,精度较好.

ELASTIC BUCKLING ANALYSIS OF ECCENTRICALLY STIFFENED PLATES

In taking account of the in-plane and out-plane displacements of plate and eccentric stifleners, the stability governing equations of discontinuous eccentrically stiffened pktes, that are suitable for all dimensions and positions of the stiffeners are established; and then three coupled partial differential equations produced by the stiffener eccentricity are transformed into differential equations with constant coefficient by a semi-analytic numerical approach; further more, weighted residual value method is adopted to derive system of homogeneous equations; and finally it is solved by changing it into a problem of generalized eigenvalue. The results of numerical calculation show that this method is simple and reliable and has a good accuracy.