集中载荷作用下梯度复合材料梁的小波-微分求积法分析

将梯度复合材料梁作为平面应力问题处理,采用小波和微分求积混合法,对集中荷载作用下结构的响应进行了分析.考虑材料特性参数沿高度方向呈梯度分布,在该方向上采用广义微分求积法进行离散;鉴于广义微分求积法求解集中荷载问题精度不高的缺点,在梁的长度方向上引入对突变信号敏感的小波插值函数.数值计算表明,小波-微分求积混合法不仅保留了广义微分求积法高效的优点,而且能够很好地模拟结构局部化特征.

WAVELET-BASED DIFFERENTIAL QUADRATURE METHOD FOR THE ANALYSIS OF GRADED COMPOSITE BEAM UNDER CONCENTRATED LOADING

The graded composite beam under concentrated loading are studied by using wavelet-based differential quadrature method(WDQM).The problem is treated as a plane stress case of an orthotropic elastic body with graded property distribution in thickness drection.A generalized differential quadrature method(GDQM) is used for the disretization in this direction.In order to overcome the shortage of GDQM in treating the problem of concentrated loading,the wavelet function with good sensitivity to sharp transitions is employed as weight function in the longitudinal direction of the beam.Numerical results show that the hybrid method not only keeps high computational efficiency and accuracy,but also ideally suits to treat problems with localized structure.