分析蜂窝夹芯板脱胶问题的片条合成-能量法

A Slice Composition Method for Analysis of Debonding Problem of Honeycomb Sandwich Plates

本文提出了分析蜂窝夹芯板脱胶问题的片条合成-能量法。在文献[2]建立的分析模型的基础上,根据分析蜂窝夹芯梁脱胶问题得到的位移模态,用片条合成的方法构造蜂窝夹芯脱胶板的位移模态,然后用最小势能原理进行求解,得到了位移幅值、应力分布和幅值。通过算例对本文方法的适用性和有效性进行了讨论,分析表明本文的结果与文献[2]中双三角级数解法所得的结果吻合的很好。而利用片条合成-能量法,可以得到蜂窝夹芯板脱胶问题的闭合形式解答,便于工程应用。

In the paper, a slice composition-energy method was presented for analysis of debonding problem of honeycomb sandwich plates. An analytical model was built to study honeycomb sandwich plates with debonding by state decomposition method in reference [2]. On the basis of the analytical model, by means of the displacement model of honeycomb sandwich beams with debonding in reference [1], the displacement model of honeycomb sandwich plates with debonding was composed by slice composition method. The displacement amplitude was calculated by minimum potential energy principles, then the distribution and maximum of stresses were obtained. An example was presented to discuss the adaptability and efficiency of this method. There is a satisfactory agreement between the result in this paper and the convergent result given by sinusoidal series method in reference [2]. By means of this method, a closed form solution with sufficient accuracy can be obtained. It is very convenient for engineering application.