An efficient computational approach for control of nonlinear transient responses of smart piezoelectric composite plates

Abstract

This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting galley proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. ABSTRACTAn efficient computational approach based on a generalized unconstrained approach in conjunction with isogeometric analysis (IGA) are proposed for dynamic control of smart piezoelectric composite plates. In composite plates, the mechanical displacement field is approximated according to the proposal model using isogeometric elements and the nonlinear transient formulation for plates is formed in the total Lagrange approach based on the von Kármán strains and solved by Newmark time integration. Through the thickness of each piezoelectric layer, the electric potential is assumed linearly.For active control of the piezoelectric composite plates, a close-loop system is used. An optimization procedure using genetic algorithm (GA) is considered to search optimal design for actuator input voltages. Various numerical examples are investigated to show high accuracy and reliability of the proposed method.

Transient analysis of smart composite laminate

“…Huang and Shen 35 presented the non-linear dynamic response of smart laminated composite plates subjected to electrical, mechanical and thermal loading conditions. The linear and non-linear dynamic response of laminated composite plates with piezoelectric layers is found in the research articles of Phung-Van et al 36,37 Shahraeeni et al 38 presented vibro-acoustic analytical solutions for piezoelectric laminated plates subjected to an acoustic enclosure. Xia and Shen 39 derived the non-linear dynamic response of FG plates with piezoelectric layers in thermal conditions.…”

Numerical and experimental nonlinear dynamic response reduction of smart composite curved structure using collocation and non-collocation configuration

“…Phung-Van et al 19 obtained the static and dynamic responses of the smart laminated composite structure by developing the mathematical model in the framework of the HSDT using isogeometric analysis (IGA) method. Later, they (Phung-Van et al 20 ) extended the analysis of nonlinear transient responses by developing the nonlinear model using the generalized unconstrained approach in conjunction with IGA and von-Karman type of geometrical nonlinearity. Subsequent development of the mathematical modeling further extended to analyse the plate/shell structures using Carrera Unified Formulation (CUF) with and without considering the effect of the smart materials.…”

Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic Restraints

“…There are numerous methods to analyze the nonlinear dynamic response of plates or rod, such as total Lagrange approach [11], semianalytical finite strip method [12], Newton's method [13], and finite element iteration method [14]. As illustrated in [15], the classical Von Karman theory, the firstorder shear deformation theory, and the higher-order shear deformation theory are compared for studying the nonlinear forced vibrations of isotropic and laminate composite rectangular plates.…”