The Continuation and Bifurcation of Periodic Solution Paths of A Hanging Cable of A Suspension Bridge.

碩士 === 輔仁大學 === 數學系 === 82 === In this paper, we use the shooting method with Newton''s solver to get the periodic solutions of Hanging cable model equations and use the pseudoarclength continuation method to homotopically continue the periodic...

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Main Authors: Chin-Hai Wei, 魏欽海
Other Authors: Kuo-Ching Jen
Format: Others
Language:zh-TW
Published: 1994
Online Access:http://ndltd.ncl.edu.tw/handle/34426113065683792673
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spelling ndltd-TW-082FJU004790072016-02-10T04:08:57Z http://ndltd.ncl.edu.tw/handle/34426113065683792673 The Continuation and Bifurcation of Periodic Solution Paths of A Hanging Cable of A Suspension Bridge. 吊橋懸臂鋼管的週期解路徑之延拓與分歧 Chin-Hai Wei 魏欽海 碩士 輔仁大學 數學系 82 In this paper, we use the shooting method with Newton''s solver to get the periodic solutions of Hanging cable model equations and use the pseudoarclength continuation method to homotopically continue the periodic solution paths and passes through the simple turning points. By numerical experiments, we get the qualitative and quantitative behavior of peroidic solutions of this model, which includes their bifurcation patterns, stability of paths of periodic solutions and some nonliner behavior. Kuo-Ching Jen 簡國清 1994 學位論文 ; thesis 42 zh-TW
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language zh-TW
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description 碩士 === 輔仁大學 === 數學系 === 82 === In this paper, we use the shooting method with Newton''s solver to get the periodic solutions of Hanging cable model equations and use the pseudoarclength continuation method to homotopically continue the periodic solution paths and passes through the simple turning points. By numerical experiments, we get the qualitative and quantitative behavior of peroidic solutions of this model, which includes their bifurcation patterns, stability of paths of periodic solutions and some nonliner behavior.
author2 Kuo-Ching Jen
author_facet Kuo-Ching Jen
Chin-Hai Wei
魏欽海
author Chin-Hai Wei
魏欽海
spellingShingle Chin-Hai Wei
魏欽海
The Continuation and Bifurcation of Periodic Solution Paths of A Hanging Cable of A Suspension Bridge.
author_sort Chin-Hai Wei
title The Continuation and Bifurcation of Periodic Solution Paths of A Hanging Cable of A Suspension Bridge.
title_short The Continuation and Bifurcation of Periodic Solution Paths of A Hanging Cable of A Suspension Bridge.
title_full The Continuation and Bifurcation of Periodic Solution Paths of A Hanging Cable of A Suspension Bridge.
title_fullStr The Continuation and Bifurcation of Periodic Solution Paths of A Hanging Cable of A Suspension Bridge.
title_full_unstemmed The Continuation and Bifurcation of Periodic Solution Paths of A Hanging Cable of A Suspension Bridge.
title_sort continuation and bifurcation of periodic solution paths of a hanging cable of a suspension bridge.
publishDate 1994
url http://ndltd.ncl.edu.tw/handle/34426113065683792673
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