基于波动法的复合材料圆柱壳阻尼特性分析

摘要

研究复合材料圆柱壳的阻尼特性。基于Love’s一阶壳理论建立复合材料圆柱壳的振动方程，运用波动法进行求解并进一步建立圆柱壳结构阻尼的分析模型。研究表明，采用所建立的解析模型和计算方法所获得的复合材料圆柱壳模态阻尼和固有频率数值解，与已有的有限元结果基本一致。针对简支（SS-SS），悬臂（C-F）和固支（C-C）三种边界条件，对[0/θ2/90]和[±θ]2铺层复合材料圆柱壳的阻尼特性进行分析，揭示了铺层角度，几何参数和边界条件对阻尼特性的影响。%The damping behavior of composite cylindrical shells was theoretically studied using the wave approach. The vibration equations of cylindrical shells were derived based on Love's 1 st order shell theory.The wave method was applied to solve the equations in order to establish the damping model of cylindrical shells.The theoretical results obtained with the derived model agreed well with the solutions obtained with the finite element analysis.Here,the damping of composite cylindrical shells with [0/θ2/90]and [±θ]2 laminations was studied under three kinds of boundary conditions including SS-SS (simply supported- simply supported ), C-F (clamped- free ) and C-C (clamped-clamped ). Furthermore,the influence of laminates' orientations and geometry on the shells' damping behavior was also discussed.