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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| Format: | Others |
| Language: | zh-TW |
| Published: |
1994
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| Online Access: | http://ndltd.ncl.edu.tw/handle/34426113065683792673 |
| Summary: | 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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