Modelling and bifurcation analysis of internal cantilever beam system on   a steadily rotating ring

doi:10.1007/BF02879942

CORC > 北京大学 > 工学院

	Modelling and bifurcation analysis of internal cantilever beam system on a steadily rotating ring
	Xiao, SF ; Chen, B
刊名	science in china series a mathematics physics astronomy
	1998
关键词	Rayleigh beam model Euler-Bernoulli beam model bifurcation finite element method shooting method
DOI	10.1007/BF02879942
英文摘要	Using Hamilton variation principle, a nonlinear dynamic model of the system with a finite deforming Rayleigh beam clamped radially to the interior of a rotating rigid ring, under the assumption that the constitutive relation of the beam is linearly elastic, is discussed. The bifurcation behavior of the simple system with the Euler-Bernoulli beam is also discussed. It is revealed that these two models have no influence on the critical bifurcation value and buckling solution in the steady state. Then we use the assumption model method to analyse the bifurcation behavior of the steadily rotating Euler-Bernoulli beam and get two different types of bifurcation behavior which physically exist. Finite element method and shooting method are used to verify the analytical results. The numerical results confirm our research conclusion.; Mathematics, Applied; Mathematics; SCI(E); EI; 3; ARTICLE; 5; 527-533; 41
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/257854]
专题	工学院
推荐引用方式 GB/T 7714	Xiao, SF,Chen, B. Modelling and bifurcation analysis of internal cantilever beam system on a steadily rotating ring[J]. science in china series a mathematics physics astronomy,1998.
APA	Xiao, SF,&Chen, B.(1998).Modelling and bifurcation analysis of internal cantilever beam system on a steadily rotating ring.science in china series a mathematics physics astronomy.
MLA	Xiao, SF,et al."Modelling and bifurcation analysis of internal cantilever beam system on a steadily rotating ring".science in china series a mathematics physics astronomy (1998).