小波加权残值法在固支斜板屈曲上的应用

Application of the Method of Wavelet Weighted Residuals to Buckling Analysis of the Clamped Skew Plates

将直角坐标转化为斜坐标,采用Ritz法,以小波作试函数,为了满足边界条件,引入梁函数,将斜板的屈曲问题由解偏微分方程转化成求奇次线性方程组的特征值.通过计算给出4边固支斜板在不同边长比与不同斜角下的屈曲载荷系数,并与前人的计算结果进行了比较.

Rayleigh-Ritz method is used to investigate the buckling analysis of the skew plates with the wavelet employed as the trial function. In order to satisfy the boundary conditions, the beam function is introduced. The partial differential equation is transformed into a system of homogeneous linear equations. The buckling coefficients are obtained by solving the eigenvalue of the system of homogeneous linear equations. The buckling coefficients of the skew plate with clamped edges are provided respectively. Comparisons with the results from early researchers are made.