Amirkabir University of Technology Amirkabir Journal of Mechanical Engineering 2008-6032 41 1 2009 08 23 A Three Dimensional Elasticity Solution of Single Layer Cylindrical Piezoelectric Panel under Dynamic Loading A Three Dimensional Elasticity Solution of Single Layer Cylindrical Piezoelectric Panel under Dynamic Loading 9 17 252 10.22060/mej.2009.252 FA Mohammad Reza Sedighi Mahmoud Shakeri Alireza Daneshmehr Journal Article 2014 03 16 This research presents a semi-analytical solution of finitely long, simply supported, orthotropic and radially polarized piezoelectric shell panel under dynamic electro-mechanical loading. The highly coupled partial differential equations set are reduced to ordinary differential equation set with variable coefficients by the trigonometric function expansion of displacement and electric potential in circumferential and axial directions. The displacement components and electric potential are expanded in appropriate trigonometric Fourier series in circumferential and axial coordinate to satisfy the boundary conditions at the simply supported circumferential and axial edges. The resulting ordinary differential equations are solved by Galerkin finite element method. In this procedure, a quadratic shape function is used for each element. Numerical example is provided for dynamic response of a single layer piezoelectric cylindrical panel under dynamic external loading. This research presents a semi-analytical solution of finitely long, simply supported, orthotropic and radially polarized piezoelectric shell panel under dynamic electro-mechanical loading. The highly coupled partial differential equations set are reduced to ordinary differential equation set with variable coefficients by the trigonometric function expansion of displacement and electric potential in circumferential and axial directions. The displacement components and electric potential are expanded in appropriate trigonometric Fourier series in circumferential and axial coordinate to satisfy the boundary conditions at the simply supported circumferential and axial edges. The resulting ordinary differential equations are solved by Galerkin finite element method. In this procedure, a quadratic shape function is used for each element. Numerical example is provided for dynamic response of a single layer piezoelectric cylindrical panel under dynamic external loading. https://mej.aut.ac.ir/article_252_038d66e980427a9948e95d056cd8f695.pdf