EFFECT OF SATISFYING STRESS BOUNDARY ONDITIONS IN THE AXISYMMETRIC VIBRATION ANALYSIS OF CIRCULAR AND ANNULAR PLATES
碩士 === 國立中山大學 === 機械工程學系研究所 === 88 === In the present study, effect of satisfying stress boundary conditions, in addition to displacement boundary conditions, in the axisymmetric vibration analysis of circular and annular plates is investigated. A new axisymmetric finite element, which is based on a...
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ndltd-TW-088NSYS54900022016-07-08T04:22:58Z http://ndltd.ncl.edu.tw/handle/59759391747375634658 EFFECT OF SATISFYING STRESS BOUNDARY ONDITIONS IN THE AXISYMMETRIC VIBRATION ANALYSIS OF CIRCULAR AND ANNULAR PLATES 滿足應力邊界條件對圓形板及環形板軸對稱振動分析的影響 Ting-Jung Chen 陳鼎融 碩士 國立中山大學 機械工程學系研究所 88 In the present study, effect of satisfying stress boundary conditions, in addition to displacement boundary conditions, in the axisymmetric vibration analysis of circular and annular plates is investigated. A new axisymmetric finite element, which is based on a combination of the conventional displacement-type variational principle and the Reissner’s principle, is proposed. With this formulation, stresses, like displacements, are primary variables, and both displacement and stress boundary conditions can be easily and exactly imposed. Axisymmetric vibration frequencies of some typical circular and annular plates are then obtained with the present approach and are compared with those by the displacement-type axisymmetric finite element. It is found that the conventional finite element, though not satisfying stress boundary conditions, can still obtain sufficiently accurate vibration frequencies of circular and annular plates. Chorng-Fuh Liu 劉崇富 2000 學位論文 ; thesis 56 zh-TW |
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碩士 === 國立中山大學 === 機械工程學系研究所 === 88 === In the present study, effect of satisfying stress boundary conditions, in addition to displacement boundary conditions, in the axisymmetric vibration analysis of circular and annular plates is investigated. A new axisymmetric finite element, which is based on a combination of the conventional displacement-type variational principle and the Reissner’s principle, is proposed. With this formulation, stresses, like displacements, are primary variables, and both displacement and stress boundary conditions can be easily and exactly imposed. Axisymmetric vibration frequencies of some typical circular and annular plates are then obtained with the present approach and are compared with those by the displacement-type axisymmetric finite element. It is found that the conventional finite element, though not satisfying stress boundary conditions, can still obtain sufficiently accurate vibration frequencies of circular and annular plates.
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author2 |
Chorng-Fuh Liu |
author_facet |
Chorng-Fuh Liu Ting-Jung Chen 陳鼎融 |
author |
Ting-Jung Chen 陳鼎融 |
spellingShingle |
Ting-Jung Chen 陳鼎融 EFFECT OF SATISFYING STRESS BOUNDARY ONDITIONS IN THE AXISYMMETRIC VIBRATION ANALYSIS OF CIRCULAR AND ANNULAR PLATES |
author_sort |
Ting-Jung Chen |
title |
EFFECT OF SATISFYING STRESS BOUNDARY ONDITIONS IN THE AXISYMMETRIC VIBRATION ANALYSIS OF CIRCULAR AND ANNULAR PLATES |
title_short |
EFFECT OF SATISFYING STRESS BOUNDARY ONDITIONS IN THE AXISYMMETRIC VIBRATION ANALYSIS OF CIRCULAR AND ANNULAR PLATES |
title_full |
EFFECT OF SATISFYING STRESS BOUNDARY ONDITIONS IN THE AXISYMMETRIC VIBRATION ANALYSIS OF CIRCULAR AND ANNULAR PLATES |
title_fullStr |
EFFECT OF SATISFYING STRESS BOUNDARY ONDITIONS IN THE AXISYMMETRIC VIBRATION ANALYSIS OF CIRCULAR AND ANNULAR PLATES |
title_full_unstemmed |
EFFECT OF SATISFYING STRESS BOUNDARY ONDITIONS IN THE AXISYMMETRIC VIBRATION ANALYSIS OF CIRCULAR AND ANNULAR PLATES |
title_sort |
effect of satisfying stress boundary onditions in the axisymmetric vibration analysis of circular and annular plates |
publishDate |
2000 |
url |
http://ndltd.ncl.edu.tw/handle/59759391747375634658 |
work_keys_str_mv |
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