Frequencies and mode shapes for thick truncated hollow cones
type: Item
instance of: scholarly article
title: Frequencies and mode shapes for thick truncated hollow cones
zbMATH Open document ID: 0987.74511
DOI: 10.1016/S0020-7403(01)00068-6
author: F. T.-I. Wong
author: George R. Buchanan
published in: International Journal of Mechanical Sciences
publication date: 2002-07-02T00:00:00Z
review text: The finite element method of analysis is employed to study the vibration of truncated thick hollow cones. The three-dimensional strain-displacement equations are used to formulate the finite element in the conical coordinate system. Axial symmetry is assumed and the formulation is reduced to two dimensions while maintaining the three-dimensional character of the analysis. The accuracy of the analysis is established by comparing results for free-free boundary conditions with existing solutions. The effects of different boundary conditions, including fixed-free and fixed-fixed, are studied to determine their effects on the frequency of vibration. Frequency results are given for an additional boundary condition corresponding to a layer attached to the exterior of a rigid cone. Nondimensional results for an isotropic material with Poisson's ratio of 0.3 are presented in terms of tables, plots of frequency versus cone apex angle and plots of selected mode shapes.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74H15
zbMATH DE Number: 1742194
zbMATH Keywords: Hollow cones
zbMATH Keywords: Vibration
zbMATH Keywords: Finite element
zbMATH Keywords: Conical coordinates
zbMATH Keywords: Conical shells
MaRDI profile type: Publication
full work available at URL: s0020-7403(01)00068-6
OpenAlex ID: W1983771316
description: scientific article; zbMATH DE number 1742194