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Transient response of an active nonlinear sandwich piezolaminated plate

Atta Oveisi
Tamara Nestorovi ´c
Journal / Anthology

Communications in Nonlinear Science and Numerical Simulation
Year: 2017
Volume: 45
Page range: 158-175

In this paper, the dynamic modelling and active vibration control of a piezolaminated plate with geometrical nonlinearities are investigated using a semi-analytical approach. For ac- tive vibration control purposes, the core orthotropic elastic layer is assumed to be per- fectly bonded with two piezo-layers on its top and bottom surfaces which act as sensor and actuator, respectively. In the modelling procedure, the piezo-layers are assumed to be connected via a proportional derivative (PD) feedback control law. Hamilton’s principle is employed to acquire the strong form of the dynamic equation in terms of additional higher order strain expressions by means of von Karman strain-displacement correlation. The obtained nonlinear partial differential equation (NPDE) is converted to a system of nonlinear ordinary differential equations (NODEs) by engaging Galerkin method and using the orthogonality of shape functions for the simply supported boundary conditions. Then, the resulting system of NODEs is solved numerically by employing the built-in Mathe- matica function, “NDSolve”. Next, the vibration attenuation performance is evaluated and sensitivity of the closed-loop system is investigated for several control parameters and the external disturbance parameters. The proposed solution in open loop configuration is vali- dated by finite element (FE) package ABAQUS both in the spatial domain and for the time- /frequency-dependent response.

*Applied Mathematics > Visualization