The present paper studies the dynamic stability of an embedded Aluminum beam incorporated by nanocomposite piezoelectric layers. Carbon nanotubes (CNTs) is a reinforcing agent for the face sheets of the sandwich structure and ag glomeration influences are assumed via Mori-Tanaka model. The Kerr viscoelastic medium containing two dampers, two springs as well as a shear element is enhanced. In order to design the sandwich structure in a real state, Kelvin–Voigt model is considered. Utilizing piezoelasticity as well as exponential shear deformation beam theory (ESDBT), equations of motion can be obtained. A differential-algebraic numerical method namely as Differential quadrature method (DQM) and Bolotin method are utilized for solution of equations of motion and gain the dynamic response of the sandwich beam. The piezoelectric layers, owing to their properties, is provided to be used as sensor and actuator and direct the behavior of structure and therefore, a proportional-differential (PD) controller is handled. The impact of paper would be considering diverse parameters concentrating on exerted voltage, different boundary conditions, influence of CNTs volume fraction as well as agglomeration and their reaction upon sandwich structure's dynamic instability region. Results show that CNT's agglomeration reduces instability region about 14 percent.

本文研究了纳米复合压电层结合的嵌入式铝梁的动态稳定性。碳纳米管（CNTs）是三明治结构面板的增强剂，并且通过Mori-Tanaka模型假定了胶凝聚团影响。包含两个阻尼器，两个弹簧以及一个剪切元件的Kerr粘弹性介质得到了增强。为了在实际状态下设计夹层结构，考虑了Kelvin–Voigt模型。利用压电弹性以及指数剪切变形梁理论（ESDBT），可以获得运动方程。利用微分代数方法，即微分求积法（DQM）和布洛廷法，求解运动方程，获得夹层梁的动力响应。压电层 由于它们的特性，可以用作传感器和执行器并控制结构的行为，因此，可以使用比例微分（PD）控制器。本文的影响将考虑集中于施加电压的各种参数，不同的边界条件，CNT体积分数的影响以及团聚及其对夹心结构动态不稳定性区域的反应。结果表明，CNT的团聚将不稳定性区域降低了约14％。碳纳米管的体积分数，团聚及其反应对三明治结构动态失稳区的影响 结果表明，CNT的团聚将不稳定性区域降低了约14％。碳纳米管的体积分数，团聚及其反应对三明治结构动态失稳区的影响 结果表明，CNT的团聚将不稳定性区域降低了约14％。