Abstract

This article presents a controlled motion investigation of viscoelastic/fiber-reinforced/magnetostrictive/sandwich plates supported via visco-Pasternak foundations. The core of the plate is modeled as a Kelvin-Voigt viscoelastic model. The governing dynamic system is derived using Hamilton’s principle according to simple sinusoidal shear deformation plate theory. A simple feedback control system is utilized to control the structural vibration. Navier’s type solution of the system is obtained to study the influence of significant parameters, especially, the effect of the general thickness ratios, aspect ratio, the thickness ratio of the magnetostrictive layer to viscoelastic layer, sequence staking, foundations, viscoelastic structural damping coefficient, the magnitude of the feedback coefficient, and location of magnetostrictive layers on the vibrational behavior of studied sandwich plate. A comparison with previous studies is performed for validation of the corresponding numerical results and present formulation. Numerical outcomes indicate that increasing the thickness ratio of the viscoelastic layer to the magnetostrictive layer leads to improvement of the system vibration control, as well as the damping coefficient, grows and the damped natural frequency decreases with the increase of viscoelastic structural damping coefficient. The study maybe helps the designers and engineers in development of structural control systems in several applied fields.

摘要

本文介绍了通过粘滞Pasternak基础支撑的粘弹性/纤维增强/磁致伸缩/三明治板的受控运动研究。板的核心建模为Kelvin-Voigt粘弹性模型。根据简单的正弦剪切变形板理论，使用汉密尔顿原理导出控制动态系统。利用简单的反馈控制系统来控制结构振动。获得了该系统的Navier型解，以研究重要参数的影响，尤其是一般厚度比，纵横比，磁致伸缩层与粘弹性层的厚度比，顺序桩，基础，粘弹性结构阻尼系数的影响，反馈系数的大小，磁致伸缩层的位置和位置对所研究夹层板振动行为的影响。与先前的研究进行了比较，以验证相应的数值结果和当前的公式。数值结果表明，随着粘弹性结构阻尼系数的增加，粘弹性层与磁致伸缩层的厚度比的增加将导致系统振动控制的改善，阻尼系数增大，阻尼固有频率减小。该研究可能会帮助设计人员和工程师在几个应用领域中开发结构控制系统。数值结果表明，随着粘弹性结构阻尼系数的增加，粘弹性层与磁致伸缩层的厚度比的增加将导致系统振动控制的改善，阻尼系数增大，阻尼固有频率减小。该研究可能会帮助设计人员和工程师在几个应用领域中开发结构控制系统。数值结果表明，随着粘弹性结构阻尼系数的增加，粘弹性层与磁致伸缩层的厚度比的增加将导致系统振动控制的改善，阻尼系数增大，阻尼固有频率减小。该研究可能会帮助设计人员和工程师在几个应用领域中开发结构控制系统。