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Article
Singular analysis of bifurcation of nonlinear normal modes for a class of systems with dual internal resonances
The nonlinear normal modes (NNMs) associated with integrnal resonance can be classified into two kinds: uncoupled and coupled. The bifurcation problem of the coupled NNM of systems with 1∶2∶5 dual internal res...
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Article
Classification of bifurcations for nonlinear dynamical problems with constraints
Bifurcation of periodic solutions widely existed in nonlinear dynamical systems is a kind of constrained one in intrinsic quality because its amplitude is always non-negative. Classification of the bifurcation...
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Article
Global solution of the inverse problem for a class of nonlinear evolution equations of dispersive type
The inverse problem for a class of nonlinear evolution equations of dispersive type was reduced to Cauchy problem of nonlinear evolution equation in an abstract space. By means of the semigroup method and equi...
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Article
New bifurcation patterns in elementary bifurcation problems with single-side constraint
Bifurcations with constraints are open problems appeared in research on periodic bifurcations of nonlinear dynamical systems, but the present singularity theory doesn’t contain any analytical methods and resul...
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Article
1:2 Internal resonance of coupled dynamic system with quadratic and cubic nonlinearities
The1:2 internal resonance of coupled dynamic system with quadratic and cubic nonlinearities is studied. The normal forms of this system in1:2 internal resonance were derived by using the direct method of normal f...
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Article
Effects of AMB parameters on the dynamic stability of the rotor
The motion equation of the rotor suspended by active magnetic bearing (AMB) is given in this paper after considering the nonlinear characteristics of the force. From the response equation resulted from this Eq...