Vibration attenuation and dynamic control of piezolaminated plates with coupled electromechanical actuation

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O R I G I NA L

Rajan L. Wankhade

· K. M. Bajoria

Vibration attenuation and dynamic control of piezolaminated plates with coupled electromechanical actuation

Received: 28 May 2020 / Accepted: 7 September 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract Vibration attenuation and dynamic control of the piezolaminated plate actuated with coupled electromechanical loading are aimed and achieved in the present work. Efficient finite element methodology with higher-order shear deformation theory is assisted to blend the effects of shear strains in the computational model. An isoperimetric eight-noded rectangular element is implemented through linear electric potential distribution along the thickness to set up the relations. Coupled electromechanical loading is considered in the formulation to consider the piezoelectric sensing and actuation mechanism. Piezolaminated plates with both cross-ply and angle-ply orientation of bonded substrate lamina are considered in the analysis. Vibration responses of multilayered composite plates with surface-mounted piezolaminates are evaluated for open-circuit and closed-circuit boundary conditions of the electric field. Results obtained from the analysis are well revealed for frequencies of various modes of simply supported piezolaminated plates. Dynamic vibrational response and effect of the control gain (Gv) in terms of velocity feedback on the dynamic characteristics of a piezoelectric laminated plate are examined. Another aim of proposing this FE model is to demonstrate the effect of placement of fibers in a different orientation for the PVDF layer to achieve active damping, and attenuation of vibrations of the laminated composite plate is also achieved and demonstrated. Keywords Vibration · Piezolaminates · Plates · Dynamic control

1 Introduction It is now accepted that the requirement of laminated composites including high stiffened low weight PZT/PVDF mounted or integrated smart composites has been enormously increased over the last few decades. These interactively formed composite laminated plates with piezoelectric materials giving rise to responsive high stiffened smart structures attracted much attention. Hence, investigators in various fields of industries such as structural, mechanical, automotive devices, actuators and transducers as dampers are keen to study the dynamic behavior of such piezolaminated composites. Such piezolaminated composites are sensed and actuated by the electromechanical phenomena. In this approach, the mechanical field gets associated with the electric field causing direct and converse piezoelectric effect. Many commonly available composites and laminates are nowadays replaced by piezolaminated smart composites as it possesses high stiffness and strength. The available piezoelectric ceramics like PZT, PVDF, etc., available as thin lamina can be surface bonded and/or Rajan L. Wankhade (B) Department of Applied Mechanics, Govt. College of Engineering, Nagpur, Maharashtra, India E-mail: [email protected] K. M. Bajoria Ci