考虑蜂窝高度效应的蜂窝夹芯板稳定性分析

蜂窝芯层等效弹性参数因受表板影响与其高度紧密相关,而传统蜂窝夹芯板稳定性模型未对其加以考虑。本文基于精化锯齿层合板理论,建立了蜂窝夹芯板稳定性模型。模型借助于解析均匀化方法获取蜂窝芯层等效模量,并因引入该方法而能够反映由蜂窝高度改变引起的蜂窝芯子等效模量变化对屈曲载荷产生的影响,即捕捉到了蜂窝芯子的高度效应。以四边简支蜂窝夹芯方板受单向面内压缩载荷作用为例进行了算例分析。算例结果表明,蜂窝芯子高度效应在蜂窝高度较低时明显,随着蜂窝高度增加,高度效应逐渐减弱。此外,高度效应在蜂窝芯层厚度比例较大时明显,随着蜂窝芯层厚度比例的持续下降,高度效应减弱直至消失。

Stability analysis of honeycomb sandwich plate considering the height effect of honeycomb core

The equivalent elastic properties of a honeycomb core are closely related to the honeycomb height due to the influence of adjacent face-sheets,however,the traditional stability models of a honeycomb sandwich plate have not taken this into account.Thus,in this paper,a new stability model of a honeycomb sandwich plate on the basis of Refined Zigzag Theory is proposed.The equivalent modulus of a honeycomb core is obtained through an analytical homogenization method,and therefore enables the present model could reflects the influences of equivalent property variations caused by the honeycomb height change on buckling loads,i. e.the height effect of a honeycomb core is captured.As an example,a honeycomb sandwich square plate with simply supported boundary condition subjected to an in-plane unidirectional compressive load is analytically solved.Numerical results indicate that the height effect of the honeycomb core is obvious as honeycomb core height is low or the ratio of core height to totally plate thickness is large,but with the increases of core height or the decreases of honeycomb core height ratio,the height effect becomes gradually weakened until vanished.