Subharmonic and Ultra-Subharmonic Response of Nonlinear Elastic Beams Subjected to Harmonic Excitation

Zhang Nianmei; Yang Guitong

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Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(12): 1224-1228

Zhang Nianmei, Yang Guitong. Subharmonic and Ultra-Subharmonic Response of Nonlinear Elastic Beams Subjected to Harmonic Excitation[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1224-1228.

Citation:

Zhang Nianmei, Yang Guitong. Subharmonic and Ultra-Subharmonic Response of Nonlinear Elastic Beams Subjected to Harmonic Excitation[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1224-1228.

Citation:

Zhang Nianmei, Yang Guitong. Subharmonic and Ultra-Subharmonic Response of Nonlinear Elastic Beams Subjected to Harmonic Excitation[J]. Applied Mathematics and Mechanics, 1999, 20(12): 1224-1228.

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Subharmonic and Ultra-Subharmonic Response of Nonlinear Elastic Beams Subjected to Harmonic Excitation

Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, P R China

Received Date: 1998-09-15
Rev Recd Date: 1999-09-05
Publish Date: 1999-12-15

Abstract

Abstract

In this paper the dynamics response of beams subjected to transverse harmonic excitation is studied.The nonlinearity of constitutive relations of the beam material is considered.When the buckled beams compressed by axial forces are subjected to transverse period perturbation,the harmonic bifurcates into subharmonic and ultra-subharmonic sequences.The critical conditions for subharmonic and ultra-subharmonic orbits are determined by use of Melnikov method.
- nonlinear,
- dynamic system,
- bifurcation

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References(4)

References

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