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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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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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.
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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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