冲击载荷作用下船用软芯功能梯度夹层板动态响应分析

Dynamic Response of Shipbuilding Sandwich Plates with Functionally Graded Soft Core Subjected to Impulse Loading

本文提出一种用于求解软芯功能梯度夹层板的多坐标系多层精细动态模型,采用李维解和龙格-库塔法求解整体控制方程。计算结果表明,该模型能够精确计算冲击载荷作用下软芯功能梯度夹层板的动态响应,同时能够精确捕捉功能梯度软芯材的微小变形。通过与有限元计算结果对比验证所提模型的精度。通过数值计算,分析软芯功能梯度夹层结构的面/芯厚度比、弹性模量幂指数、爆炸载荷对功能梯度软芯夹层板动态响应的影响,可为新型软芯功能梯度结构设计和应用提供理论基础和指导。

A novel refined multi-layer dynamic model is presented in this paper for calculation of the dynamic response of functionally graded material(FGM) soft sandwich plates under impulse loading and for capturing of the micro-deformation of functionally graded soft core. The Navier’s solution and Runge-Kutta method were used to solve governing equations. The accuracy of the present theory and solution were validated by comparing with FEM and open literature results. Then, a series of parametric(impulse loading, skin/core thickness ratio and volume fraction distribution) studies were carried out to investigate the influence of the dynamic response, providing a theoretical basis for structural design and application of functionally graded sandwich panels with soft FGM cores.