Frictional instabilities in orthotropic hollow cylinders

Authors:
A. Pinto da Costa;M. A. Agwa
Affiliations:
Departamento de Engenharia Civil e Arquitectura and ICIST, Instituto Superior Técnico, Universidade Técnica de Lisboa, Avenida Rovisco Pais, 1049-001 Lisboa, Portugal;Departamento de Engenharia Civil e Arquitectura and ICIST, Instituto Superior Técnico, Universidade Técnica de Lisboa, Avenida Rovisco Pais, 1049-001 Lisboa, Portugal
Venue:
Computers and Structures
Year:
2009

Citing 4
Cited 0

Concepts and Applications of Finite Element Analysis

Concepts and Applications of Finite Element Analysis
The eigenvalue complementarity problem

Computational Optimization and Applications
Cone-constrained eigenvalue problems: theory and algorithms

Computational Optimization and Applications
Dynamic behavior and stability of simple fractional systems

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.00

Visualization

Abstract

This study discusses the implications of obstacle curvature, material orthotropy and friction to the occurrence of flutter and divergence instabilities of elastic media. The analytic solution for the divergence instability problem of a hollow cylinder when its principal directions of orthotropy make constant angles with the circumferential and radial directions is closely approximated by finite element solutions of a complementarity eigenproblem in which the coefficient of friction appears as an eigenvalue, quadratically due to the obstacle curvature. Mechanical systems with a finite number of degrees of freedom illustrate some aspects of the onset of instability. In particular, the presented study shows that, under certain conditions, the increase of the obstacle convexity may favour stability.