A new semi-analytical solution method for free vibration analysis of composite rectangular plates with general edge constraints coupled with single piezoelectric layer. (December 2018)

• Record Type: Journal Article
• Authors: Baghaee, Mehdi; Farrokhabadi, Amin; Jafari-Talookolaei, Ramazan-Ali
• Is Part Of: Journal of intelligent material systems and structures. Volume 29:Number 20(2018)
• Page Start: 3873
• Page End: 3889
• Publication Date: 2018-12
• Subjects: Piezoelectric layer -- Legendre polynomials -- Lagrange multipliers -- general boundary conditions -- general lay-ups; Smart materials -- Periodicals; Intelligent control systems -- Periodicals; Artificial intelligence -- Periodicals; Matériaux intelligents -- Périodiques; Commande intelligente -- Périodiques; Intelligence artificielle -- Périodiques; 620.11
• DOI: 10.1177/1045389X18799478
• Languages: English
• ISSNs: 1045-389X

Abstract

In this article, a new approach is presented to study the free vibrations of rectangular composite plates coupled with single piezoelectric layer. The laminated plate with general stacking sequences is subjected to the elastic edge restraints. Based on the first-order shear deformation theory and Hamilton's principle, the equations of the motion along with boundary conditions of the problem are deduced. To solve the problem, generalized displacements as well as general electric potentials are expanded using the Legendre polynomial series as the base functions. Then, the kinetic and potential energies of the problem are obtained. Afterwards, by means of Lagrange multipliers all the boundary conditions have been added to the energies to form the functional. This energy functional is extremised to get the natural frequencies and mode shapes of the problem through generalized eigenvalue problem. Credibility of the proposed method is verified by comparing the obtained results with those achieved by other theories and finite element method.