Abstract

The free and forced vibration characteristics of a sandwich beam with composite face layers and partially configured carbon nanotubes reinforced magnetorheological elastomer (hybrid MR elastomer) core is presented in this article. Higher order shear deformation theory (HSDT) based on finite element (FE) formulation is employed to derive the governing equations of motion of the partially configured hybrid MR elastomer sandwich beam. The efficacy of the present FE method is evaluated by comparing its numerical solutions with those reported in the literature. The effects of partial configurations, magnetic fields, and support conditions on the vibration characteristics of partially configured hybrid MR elastomer sandwich beams are discussed. Further, the structural optimization problem is formulated to identify the optimal positions for the hybrid MR elastomers and optimal face sheet ply orientations to maximize the vibration characteristics of the composite structures. The solution of the optimization problem, attained using the genetic algorithm (GA) coupled with FE formulations. The numerical results show that the location of the hybrid MR elastomer and optimal ply orientation have significant influences on the vibration and damping performances of the partially configured hybrid MR elastomer sandwich structures.

摘要

本文介绍了具有复合面层和部分配置的碳纳米管增强磁流变弹性体（混合 MR 弹性体）芯的夹层梁的自由振动和受迫振动特性。采用基于有限元 (FE) 公式的高阶剪切变形理论 (HSDT) 来推导部分配置的混合 MR 弹性体夹层梁的运动控制方程。通过将其数值解与文献中报道的数值解进行比较，可以评估本有限元方法的有效性。讨论了部分配置、磁场和支撑条件对部分配置的混合 MR 弹性体夹层梁振动特性的影响。更远，制定结构优化问题以确定混合 MR 弹性体的最佳位置和最佳面板层方向，以最大限度地提高复合结构的振动特性。优化问题的解决方案，使用遗传算法 (GA) 结合有限元公式获得。数值结果表明，混合 MR 弹性体的位置和最佳铺层方向对部分配置的混合 MR 弹性体夹层结构的振动和阻尼性能有显着影响。