Mode Jumping and Scaling Properties of the von Karman Equations
碩士 === 國立中興大學 === 應用數學系 === 85 === We study the bifurcation scenarios of the von Karman equations with various boundary conditions via numerical continuation methods. First, we investigate the phenomenonof the mode jumping under the Robin b...
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| Other Authors: | |
| Format: | Others |
| Language: | zh-TW |
| Published: |
1997
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| Online Access: | http://ndltd.ncl.edu.tw/handle/05041453599482327629 |
| Summary: | 碩士 === 國立中興大學 === 應用數學系 === 85 === We study the bifurcation scenarios of the von Karman equations
with various boundary conditions via numerical continuation
methods. First, we investigate the phenomenonof the mode jumping
under the Robin boundary conditions.Next, we study symmetries in
the von Karman equations with simply supported boundary
conditions on retangular domains. By embedding this fourth
orderplate problem into a space of periodic functions we obtain
hidden symmetries andscaling properties in its solution
manifold. These properties are exploited for efficient nuerical
approximation of the solution branches at the bifurcation
points.Finally, sample numerical results are reported. Our
numerical results show that mode jumping on the von Karman
equations with Robin boundary conditions depends on the length
of the retangular plate.
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