Coupled Bending-Bending Vibration of Pretwisted Non-uniform Beams

碩士 === 國立成功大學 === 機械工程學系 === 87 === ABSTRACT Based on the Bernoulli-Euler beam theory,the coupled governing differential equations with general eleastic boundary conditions for coupled bending-bending vibration of a elastically restrained and pretwisted nonuniform beam of recta...

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Main Authors: Y.H.WEI, 魏英豪
Other Authors: S.Y.LEE
Format: Others
Language:zh-TW
Published: 1999
Online Access:http://ndltd.ncl.edu.tw/handle/80509073418937965922
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spelling ndltd-TW-087NCKU04890422016-07-11T04:13:32Z http://ndltd.ncl.edu.tw/handle/80509073418937965922 Coupled Bending-Bending Vibration of Pretwisted Non-uniform Beams 預扭非均勻樑之振動分析 Y.H.WEI 魏英豪 碩士 國立成功大學 機械工程學系 87 ABSTRACT Based on the Bernoulli-Euler beam theory,the coupled governing differential equations with general eleastic boundary conditions for coupled bending-bending vibration of a elastically restrained and pretwisted nonuniform beam of rectangular cross-section are derived by using Hamilton’s principle. The transfer matrix method is presented to study the vibrations of any pretwisted nonuniform beam of rectangular cross-section. The frequency equation is derived and expressed in terms of the transfer matrix. The corresponding results are compared with previous work in the literature. Finally,the influence of pretwisted angle and taper ratio on the natural frequencies is investigated. S.Y.LEE 李森墉 1999 學位論文 ; thesis 40 zh-TW
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language zh-TW
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description 碩士 === 國立成功大學 === 機械工程學系 === 87 === ABSTRACT Based on the Bernoulli-Euler beam theory,the coupled governing differential equations with general eleastic boundary conditions for coupled bending-bending vibration of a elastically restrained and pretwisted nonuniform beam of rectangular cross-section are derived by using Hamilton’s principle. The transfer matrix method is presented to study the vibrations of any pretwisted nonuniform beam of rectangular cross-section. The frequency equation is derived and expressed in terms of the transfer matrix. The corresponding results are compared with previous work in the literature. Finally,the influence of pretwisted angle and taper ratio on the natural frequencies is investigated.
author2 S.Y.LEE
author_facet S.Y.LEE
Y.H.WEI
魏英豪
author Y.H.WEI
魏英豪
spellingShingle Y.H.WEI
魏英豪
Coupled Bending-Bending Vibration of Pretwisted Non-uniform Beams
author_sort Y.H.WEI
title Coupled Bending-Bending Vibration of Pretwisted Non-uniform Beams
title_short Coupled Bending-Bending Vibration of Pretwisted Non-uniform Beams
title_full Coupled Bending-Bending Vibration of Pretwisted Non-uniform Beams
title_fullStr Coupled Bending-Bending Vibration of Pretwisted Non-uniform Beams
title_full_unstemmed Coupled Bending-Bending Vibration of Pretwisted Non-uniform Beams
title_sort coupled bending-bending vibration of pretwisted non-uniform beams
publishDate 1999
url http://ndltd.ncl.edu.tw/handle/80509073418937965922
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