复合材料层合板自由振动的薄板样条无网格解

无网格全局配点法分为多项式配点法和径向基函数配点法,国内外很多文献利用径向基函数配点法对复合材料层合板进行了分析。利用一阶剪切变形理论和基于薄板样条径向基函数的无网格配点法计算了复合材料层合板自由振动的固有频率和振型。研究了薄板样条径向基函数中形状参数的选取和本工作方法的收敛性。结果表明:形状参数m=3时收敛性最好,计算精度最高。将本工作计算结果与文献中的实验结果进行了对比,验证了本文方法的精度和效率。

Meshless Solutions Based on the Thin Plate Spline for Free Vibration of Laminated Composite Plates

Meshless global collocation method is divided into the polynomial collocation method and the radial basis function collocation method, the domestic and foreign many literatures use the radial basis function collocation method to analyze the composite laminates. The first-order shear deformation theory and meshless collocation method based on the thin plate spline radial basis function are used to calculate the natural frequency and mode shape of laminated composite plates. The choice of shape parameters of the thin plate spline and convergence characteristics of the present method are studied by several numerical examples. The results show that the shape parameter m=3 produce the best results. The present results are compared with the available experimental results which demonstrate the accuracy and efficiency of the present method.