Nonlinear flutter of a buckled shear-deformable composite panel in a high-supersonic flow
type: Item
instance of: scholarly article
title: Nonlinear flutter of a buckled shear-deformable composite panel in a high-supersonic flow
zbMATH Open document ID: 0826.73049
DOI: 10.1016/0020-7462(94)00028-9
author: Naresh K. Chandiramani
author: R. H. Plaut
author: L. Librescu
published in: International Journal of Non-Linear Mechanics
publication date: 1995-12-04T00:00:00Z
review text: The nonlinear dynamical behaviour of a flat laminated panel subjected to a high-supersonic gas flow of arbitrary orientation is analysed. For postcritical flow speeds, induced membrane forces damp the oscillations thus preventing immediate panel failure. The model incorporates the combined effects of geometric and aerodynamic nonlinearities, transverse shear deformation, in-plane edge loads and edge constraints, and small initial geometric imperfections. The arclength continuation method is used to determine the static equilibrium state, periodic motions about which are obtained by the shooting technique (that allows a systematic investigation of bifurcating motions) as well as by the method of multiple scales (for small-amplitude flutter of perfect panels). Direct numerical integration is utilized to find non-periodic states, characterized by calculated Lyapunov exponents.
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 76J20
zbMATH DE Number: 760355
zbMATH Keywords: Galerkin method
zbMATH Keywords: arclength continuation method
zbMATH Keywords: shooting technique
zbMATH Keywords: method of multiple scales
zbMATH Keywords: Lyapunov exponents
MaRDI profile type: Publication
full work available at URL: 0020-7462(94)00028-9
OpenAlex ID: W1966008869
description: scientific article; zbMATH DE number 760355