Abstract

The impact response of shear deformable sandwich cylindrical shells composed of two face layers and a functionally graded (FG) porous core is investigated. The mass density and elastic moduli of FG porous core are assumed to vary along the thickness in terms of the coefficients of mass density and foam, whose relationships are determined by employing the typical mechanical characteristics of an open-cell metal foam. Governing equations are derived using the first-order shear deformation shell theory and Hamilton’s principle. The contact force is achieved based on linearized Hertzian contact law. The Duhamel integration is applied to find the transverse displacement of porous sandwich shell. Results show that the core thickness, impact velocity, foam type, foam coefficient, and masses of impactor and shell play important roles on the impact response of sandwich porous shells.

摘要

研究了由两个面层和一个功能梯度 (FG) 多孔芯组成的可剪切变形夹层圆柱壳的冲击响应。假设 FG 多孔芯的质量密度和弹性模量在质量密度和泡沫系数方面沿厚度变化，它们的关系是通过采用开孔金属泡沫的典型机械特性来确定的。使用一阶剪切变形壳理论和汉密尔顿原理推导出控制方程。接触力是基于线性赫兹接触定律实现的。应用 Duhamel 积分求多孔夹层壳的横向位移。结果表明，核心厚度、冲击速度、泡沫类型、泡沫系数、