Dynamic stability control of viscoelastic nanocomposite piezoelectric sandwich beams resting on Kerr foundation based on exponential piezoelasticity theory

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.