Free vibration of a class of solids with cavities
type: Item
instance of: scholarly article
title: Free vibration of a class of solids with cavities
zbMATH Open document ID: 0851.73035
DOI: 10.1016/0020-7403(94)90061-2
author: P. G. Young
author: S. M. Dickinson
published in: International Journal of Mechanical Sciences
publication date: 1995-05-14T00:00:00Z
review text: The Ritz method is used to obtain an eigenvalue equation for free vibrations of a class of solids. Each solid is a segment bounded by orthogonal coordinate planes as well as by two curved surfaces defined by polynomial expressions in the Cartesian coordinates. Simple algebraic polynomials that satisfy the boundary conditions at the five surfaces of the segment are used as trial functions. Using symmetry, the range of application of the model is broadened to include thick shells with various shaped cavities.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74F10
zbMATH DE Number: 755002
zbMATH Keywords: polynomial surfaces
zbMATH Keywords: Ritz method
zbMATH Keywords: eigenvalue equation
zbMATH Keywords: boundary conditions
zbMATH Keywords: trial functions
zbMATH Keywords: thick shells
Wikidata QID: Q57925795
reviewed by: J. Genin
MaRDI profile type: Publication
full work available at URL: 0020-7403(94)90061-2
OpenAlex ID: W2085377510
description: scientific article; zbMATH DE number 755002