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Bifurcation Solutions of a Kirchhoff-type Nonlinear Beam with Linear Damping

Q. W. Huang, J. S. Tang, W. B. Fu


Vibrations of a Kirchhoff-type nonlinear beam with linear damping are investigated. Bifurcation solutions are obtained by the perturbation method and the priori estimate. Two new nontrivial solutions are bifurcated from a trivial solution and the stability of nontrivial bifurcation solutions is analyzed. These analytical approximate results are better applied to the bifurcation control.


Linear damping, nonlinear beam, bifurcation, stability.

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