An investigation of dual eigenvalue systems using trigonometric polynomials and differential geometry
type: Item
instance of: scholarly article
title: An investigation of dual eigenvalue systems using trigonometric polynomials and differential geometry
zbMATH Open document ID: 0606.73046
DOI: 10.1016/0020-7462(87)90014-X
author: B. George
published in: International Journal of Non-Linear Mechanics
publication date: 1987-01-01T00:00:00Z
review text: The paper suggests that trigonometric polynomials provide a useful way of investigating elastic structures buckling in two modes simultaneously, when they are introduced into the associated potential energy function. They are then used to study a parameter of Huseyin-Mandadi and to demonstrate connections between the structural behaviour of imperfect systems and the differential geometry of the energy surface of the perfect model. The Huseyin-Mandadi parameter is shown to have importance in both structural mechanics and differential geometry.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 53B50
zbMATH DE Number: 3980625
zbMATH Keywords: trigonometric polynomials
zbMATH Keywords: buckling in two modes simultaneously
zbMATH Keywords: parameter of Huseyin-Mandadi
zbMATH Keywords: imperfect systems
zbMATH Keywords: energy surface
zbMATH Keywords: perfect model
Wikidata QID: Q115367915
MaRDI profile type: Publication
full work available at URL: 0020-7462(87)90014-x
OpenAlex ID: W2095192786
description: scientific article; zbMATH DE number 3980625