We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Nonlinear Flutter of Laminated Composite Plates Resting on Nonlinear Elastic Foundations Using Homotopy Perturbation Method.
- Authors
Yazdi, Ali A.
- Abstract
In this paper, the applicability of the homotopy perturbation method (HPM) in analyzing the flutter of geometrically nonlinear cross-ply rectangular laminated plates resting on nonlinear elastic foundation is investigated. The piston theory is employed to evaluate the aerodynamic pressure acting on the plate. The von Karman geometric nonlinear theory is used to construct the governing equations of the system. The Galerkin's method is used to reduce the nonlinear partial differential equations to a nonlinear second-order ordinary differential equation, and the HPM is employed to study the effect of initial deflection, aspect ratio and stacking sequence on the flutter pressure of cross-ply laminated plates. The results show that the first approximation of the HPM leads to highly accurate solutions for the geometrically nonlinear flutter of cross-ply rectangular laminated plates subjected to the aerodynamic pressure.
- Subjects
NONLINEAR systems; NONLINEAR elastic fracture; HOMOTOPY theory; PERTURBATION theory; PARTIAL differential equations
- Publication
International Journal of Structural Stability & Dynamics, 2015, Vol 15, Issue 5, p-1
- ISSN
0219-4554
- Publication type
Article
- DOI
10.1142/S0219455414500722