Vibration suppression analysis of a laminated composite plate embedded magnetostrictive layers is presented with/without the transverse shear and normal strains effects are taken into account in this study. For purpose of vibration suppression, the velocity feedback control with constant gain distributed is applied. The formulation of problem is written to give five theories are Euler-Bernoulli’s classical plate theory, the Timoshenko’s first-order and Reddy’s third-order shear deformation plate theories, simple and refined sinusoidal shear deformation plate theories and other theories. The governing equations of motion are obtained using the Hamilton’s principle. Navier’s method is applied to discuss the solution of vibration problem at the simply-supported boundary conditions. Some effects are extensively studied and discussed such the impact of material properties, modes, thickness and number of the magnetostrictive layers, lamination schemes, magnitude of the feedback coefficient and location of the magnetostrictive layers on vibration suppression of the system. Numerical results are reported and illustrated, and various conclusions are formulated.

在有/无横向剪切力的情况下，提出了层压复合板内嵌磁致伸缩层的振动抑制分析，并考虑了正应变效应。为了抑制振动，应用了具有恒定增益分布的速度反馈控制。问题的表述给出了五种理论，分别是欧拉-伯努利的经典板理论，蒂莫申科的一阶和雷迪的三阶剪切变形板理论，简单和精细的正弦剪切变形板理论等。使用汉密尔顿原理获得运动的控制方程。Navier方法用于讨论在简单支持的边界条件下的振动问题的解决方案。广泛研究和讨论了一些影响，例如材料性能，模式，磁致伸缩层的厚度和数量，层压方案，反馈系数的大小以及磁致伸缩层的位置对系统振动抑制的影响。报告并举例说明了数值结果，并得出了各种结论。