Korean Journal of Mathematics
- 제14권1호
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- Pages.113-123
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- 2006
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- 1976-8605(pISSN)
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- 2288-1433(eISSN)
BIFURCATION THEORY FOR A CIRCULAR ARCH SUBJECT TO NORMAL PRESSURE
- Bang, Keumseong (Department of Mathematics The Catholic University of Korea) ;
- Go, JaeGwi (Department of Mathematics Changwon National University)
- 투고 : 2006.05.18
- 발행 : 2006.06.30
초록
The arches may buckle in a symmetrical snap-through mode or in an asymmetry bifurcation mode if the load reaches a certain value. Each bifurcation curve develops as pressure increases. The governing equation is derived according to the bending theory. The balance of forces provides a nonlinear equilibrium equation. Bifurcation theory near trivial solution of the equation is developed, and the buckling pressures are investigated for various spring constants and opening angles.