Design of circular cylindrical shells of minimum weight with fixed natural oscillation frequencies
type: Item
instance of: scholarly article
title: Design of circular cylindrical shells of minimum weight with fixed natural oscillation frequencies
zbMATH Open document ID: 0558.73077
DOI: 10.1016/0021-8928(83)90140-5
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: Approximate solutions are obtained, using asymptotic methods, of the problem of optimum design of cylindrical shells of variable thickness, of minimum weight for fixed natural oscillation frequencies in the axisymmetric and non-axisymmetric cases. Qualitative patterns of the thickness distribution for optimum solutions are obtained and analyzed.
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 74K15
zbMATH DE Number: 3890879
zbMATH Keywords: Approximate solutions
zbMATH Keywords: asymptotic methods
zbMATH Keywords: optimum design
zbMATH Keywords: cylindrical shells
zbMATH Keywords: variable thickness
zbMATH Keywords: minimum weight
zbMATH Keywords: fixed natural oscillation frequencies
zbMATH Keywords: axisymmetric and non-axisymmetric cases
zbMATH Keywords: Qualitative patterns of the thickness distribution
author: Alexander S. Bratus
MaRDI profile type: Publication
full work available at URL: 0021-8928(83)90140-5
OpenAlex ID: W2002673372
cites work: Q5822995
cites work: Q3048705
cites work: Q5730678
cites work: Q4000342
cites work: Q3948197
cites work: Axisymmetric vibrations of simply supported cylindrical shells
cites work: The sufficient conditions for an extremum in problems of optimizing the shapes of elastic plates
cites work: Q3687870
description: scientific article; zbMATH DE number 3890879