THREE-DIMENSIONAL VIBRATION ANALYSIS SATISFYING STRESS BOUNDARY CONDITIONS OF CIRCULAR AND ANNULAR

碩士 === 國立中山大學 === 機械工程學系研究所 === 89 === In the proposed project,the three - dimensional vibration of circular and annular plates is analyzed by a mixed finite element。 Stresses,as well as displacements, are primary variables in the mixed finite element formulation,therefore,all the stress and displac...

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Bibliographic Details
Main Authors: Chin- His Chuang, 莊金錫
Other Authors: Chorng-Fuh Liu
Format: Others
Language:zh-TW
Published: 2001
Online Access:http://ndltd.ncl.edu.tw/handle/35709319519596724092
Description
Summary:碩士 === 國立中山大學 === 機械工程學系研究所 === 89 === In the proposed project,the three - dimensional vibration of circular and annular plates is analyzed by a mixed finite element。 Stresses,as well as displacements, are primary variables in the mixed finite element formulation,therefore,all the stress and displacement boundary conditions can be imposed exactly。Meanwhile,the proposed finite element is a modification of axisymmetric finite element which is based on three – dimensional elasticity,so general results of both axisymmetric and unaxisymmetric vibration of circular and annular plates can be obtained。 Results of the present project will be compared to those by conventional displacement – type finite element,Ritz method and series method to show the difference among these theories。Especially,the effect of satisfying the stress boundary conditions on the unaxisymmetric vibration analyses can be demonstrated,which is not available in the literature up to date。