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样条函数具有很强的适应数据或函数变化的能力,是一种函数逼近、曲线拟合的理想工具。本文以加权残数法为基础,选取 B-样条函数作为试函数,分析了对称层合板在定常激振外荷载作用下的线性动力反应,并分别与相应条件下的级数解和有限差分数值解进行比较,取得令人满意的一致结果,以而确定加权残数法解决各向异性层合板线性动力反应问题的可靠性。
Spline functions have a strong ability to adapt to changes in data or functions and are an ideal tool for function approximation and curve fitting. Based on the weighted residual method, the B-spline function is selected as a trial function, and the linear dynamic response of a symmetrical laminated plate subjected to constant excitation and external load is analyzed, and the series solution and finite difference under the corresponding conditions are analyzed. The numerical solutions were compared to obtain satisfactory and consistent results to determine the reliability of the weighted residual method to solve the linear dynamic response problem of anisotropic laminates.