Modeling and Bifurcation Analysis of the Centre Rigid-Body Mounted on an External Timoshenko Beam

Xiao Shifu; Chen Bin

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Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(12): 1286-1290

Xiao Shifu, Chen Bin. Modeling and Bifurcation Analysis of the Centre Rigid-Body Mounted on an External Timoshenko Beam[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1286-1290.

Citation:

Xiao Shifu, Chen Bin. Modeling and Bifurcation Analysis of the Centre Rigid-Body Mounted on an External Timoshenko Beam[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1286-1290.

Citation:

Xiao Shifu, Chen Bin. Modeling and Bifurcation Analysis of the Centre Rigid-Body Mounted on an External Timoshenko Beam[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1286-1290.

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Modeling and Bifurcation Analysis of the Centre Rigid-Body Mounted on an External Timoshenko Beam

Xiao Shifu¹,
Chen Bin²

1.
Southwest Institute of Structural Mechanics, Chengdu 610003, P R China;
2.
Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P R China

Received Date: 1997-06-17
Rev Recd Date: 1999-04-19
Publish Date: 1999-12-15

Abstract

Abstract

For the system of the centre rigid-body mounted on an external cantilever beam,the equilibrium solution of the steadily rotating beam is stable if the effect of its shearing stress(i.e.the beam belongs to the Euler-Bernoulli type)is not considered.But for the deep beam,it is necessary to consider the effect of the shearing stress(i.e.the beam belongs to the Timoshenko type).In this case,the tension buckling of the equilibrium solution of the steadily rotating beam may occur.In the present work,using the general Hamilton Variation Principle,a nonlinear dynamic model of the rigid- flexible system with a centre rigid-body mounted on an external Timoshenko beam is established.The bifurcation regular of the steadily rotating Timoshenko beam is investigated by using numerical methods.Furthermore,the critical rotating velocity is also obtained.
- rigid-flexible coupling system,
- rotating Timoshenko beam,
- tension buckling

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References(9)

References

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