Analysis of Dynamical Buckling and Post Buckling for Beams by Finite Segment Method

YIN Xue-gang; DU Si-yi; HU Ji-yun; DING Jian-ping

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YIN Xue-gang, DU Si-yi, HU Ji-yun, DING Jian-ping. Analysis of Dynamical Buckling and Post Buckling for Beams by Finite Segment Method[J]. Applied Mathematics and Mechanics, 2005, 26(9): 1076-1082.

Citation:

YIN Xue-gang, DU Si-yi, HU Ji-yun, DING Jian-ping. Analysis of Dynamical Buckling and Post Buckling for Beams by Finite Segment Method[J]. Applied Mathematics and Mechanics, 2005, 26(9): 1076-1082.

Citation:

YIN Xue-gang, DU Si-yi, HU Ji-yun, DING Jian-ping. Analysis of Dynamical Buckling and Post Buckling for Beams by Finite Segment Method[J]. Applied Mathematics and Mechanics, 2005, 26(9): 1076-1082.

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Analysis of Dynamical Buckling and Post Buckling for Beams by Finite Segment Method

1.
Department of Engineering Mechanics, Chongqing University, Chongqing 400030, P. R. China;

Received Date: 2003-07-29
Rev Recd Date: 2005-06-10
Publish Date: 2005-09-15

Abstract

Abstract

Based on the multi-rigid body discretization model,namely finite segment model,a chain multi-rigid body-hinge-spring system model of a beam was presented,then a nonlinear parametrically exacted vibration equation of multi-degrees of freedom system was established using the coordination transformation method,and its resonance fields were derived by the restriction parameter method, that is the dynamical buckling analysis of the beam.Because the deformer of a beam isn't restricted by discrete model and dynamic equation,the post buckling analysis can be done in above math model.The numerical solutions of a few examples were obtained by direct integrated method,which shows that the mechanical and math model gotten is correct.
- beam,
- finite segment method,
- post buckling,
- parametrically exacted vibration,
- buckling

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References(8)

References

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