Elasticity Solution of Laminated Cylindrical Shell with Piezoelectric Layer under Local Ring Load

2007 ◽  
Vol 334-335 ◽  
pp. 917-920 ◽  
Author(s):  
M.H. Yas ◽  
Morteza Shakeri ◽  
M.R. Saviz
Keyword(s):  
Cylindrical Shell ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Local Ring ◽  
Longitudinal Direction ◽  
Variable Coefficients ◽  
Elasticity Solution ◽  
Galerkin Finite Element Method ◽  
Galerkin Finite Element ◽  
External Forces

Elasticity solution is presented for simply-supported, orthotropic, piezoelectric cylindrical shell with finite length under local ring load in the middle of shell and electrostatic excitation. The highly coupled partial differential equations (p.d.e.) are reduced to ordinary differential equations(o.d.e.) with variable coefficients by means of trigonometric function expansion in longitudinal direction for displacement and external forces. The resulting ordinary differential equations are solved by Galerkin finite element method. Numerical examples are presented for [0/90/P] lamination with sensor and actuator for different thicknesses.

Dynamic Thermal Analysis of Laminated Cylinder with a Piezoelectric Layer Based on Three-Dimensional Elasticity Solution

2012 ◽  
Vol 186 ◽  
pp. 16-25
Author(s):  
A.R. Daneshmehr ◽  
S. Akbari ◽  
A. Nateghi
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Piezoelectric Layer ◽  
Equations Of Motion ◽  
Three Dimensional ◽  
Longitudinal Direction ◽  
Elasticity Solution ◽  
Galerkin Finite Element Method ◽  
Galerkin Finite Element ◽  
Three Dimensional Elasticity

Three-dimensional elasticity solution is presented for finite length, simply supported, laminated cylinder with a piezoelectric layer under dynamic thermal load and pressure. The piezoelectric layer can be used as an actuator or a sensor. The ordinary differential equations are obtained from partial differential equations of motion by means of trigonometric function expansion in longitudinal direction. Galerkin finite element method is used to solve the resulting ordinary differential equations. Finally numerical results are discussed for different situations.

The Response Analysis of the Piezoelectric Shell Panel Actuators Based on the Theory of Elasticity

Volume 2 ◽  
2004 ◽  
Author(s):  
A. Daneshmehr ◽  
M. Shakeri
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Variable Coefficients ◽  
Theory Of Elasticity ◽  
Response Analysis ◽  
Galerkin Finite Element Method ◽  
Galerkin Finite Element ◽  
Piezoelectric Layers ◽  
Shell Panel ◽  
Piezoelectric Shell

A study on the elasticity solution of shell panel piezoelectric actuators is presented. In this paper, the structure is infinitely long, simply-supported, orthotropic and under pressure and electrostatic excitation. The equations of equilibrium, which are coupled partial differential equations, are reduced to ordinary differential equations with variable coefficients by means of trigonometric function expansion in circumferential direction. The resulting ordinary differential equations are solved by Galerkin finite element method. Numerical results are presented for [0/90/P] lamination. Finally the results are compared with the assumption of piezoelectric layers in published results.

Dynamic analysis of functionally graded shell with piezoelectric layers based on elasticity

2009 ◽  
Vol 223 (9) ◽  
pp. 2039-2047 ◽  
Author(s):  
M Javanbakht ◽  
M Shakeri ◽  
S N Sadeghi
Keyword(s):  
Differential Equations ◽  
Piezoelectric Layer ◽  
External Surface ◽  
Internal Surface ◽  
Longitudinal Direction ◽  
Variable Coefficients ◽  
Functionally Graded ◽  
Galerkin Finite Element ◽  
Piezoelectric Layers ◽  
Functionally Graded Shell

A study on the elasticity solution of the functionally graded (FG) shell with two piezoelectric layers is presented. In this article, the structure is finitely long, simply supported, and FG with two piezoelectric layers under pressure and electrostatic excitation. The equations of equilibrium, which are coupled partial differential equations, are reduced to ordinary differential equations (o.d.e.) with variable coefficients by means of trigonometric function expansion in the longitudinal direction. The resulting o.d.e. are solved by the Galerkin finite-element method and the Newmark method. Numerical results are presented for a FG cylindrical shell with a piezoelectric layer as an actuator in the external surface and a piezoelectric layer as a sensor in the internal surface.

scholarly journals Elastic Buckling Behaviour of a Four-Lobed Cross Section Cylindrical Shell with Variable Thickness under Non-Uniform Axial Loads

2009 ◽  
Vol 2009 ◽  
pp. 1-17 ◽  
Author(s):  
Mousa Khalifa Ahmed
Keyword(s):  
Cylindrical Shell ◽  
Differential Equations ◽  
Transfer Matrix ◽  
Cross Section ◽  
Variable Thickness ◽  
Nonlinear Differential Equations ◽  
Longitudinal Direction ◽  
Variable Coefficients ◽  
Thickness Variation ◽  
Matrix Differential

The static buckling of a cylindrical shell of a four-lobed cross section of variable thickness subjected to non-uniform circumferentially compressive loads is investigated based on the thin-shell theory. Modal displacements of the shell can be described by trigonometric functions, and Fourier's approach is used to separate the variables. The governing equations of the shell are reduced to eight first-order differential equations with variable coefficients in the circumferential coordinate, and by using the transfer matrix of the shell, these equations can be written in a matrix differential equation. The transfer matrix is derived from the nonlinear differential equations of the cylindrical shells by introducing the trigonometric series in the longitudinal direction and applying a numerical integration in the circumferential direction. The transfer matrix approach is used to get the critical buckling loads and the buckling deformations for symmetrical and antisymmetrical shells. Computed results indicate the sensitivity of the critical loads and corresponding buckling modes to the thickness variation of cross section and the radius variation at lobed corners of the shell.

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