Abstract
A cracked rotor is modeled by a piecewise linear system due to thebreath of crack in a rotating shaft. The differential equations ofmotion for the nonsmooth system are derived and solved with thenumerical integration method. From the simulation results, it isobserved that a grazing bifurcation exists in the response. Thegrazing bifurcation can give rise to jumps between periodic motions,quasi-periodic motions from the periodic ones, chaos, and intermittentchaos.
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Qin, W., Chen, G. & Ren, X. Grazing Bifurcation in the Response of Cracked Jeffcott Rotor. Nonlinear Dynamics 35, 147–157 (2004). https://doi.org/10.1023/B:NODY.0000020959.82954.45
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DOI: https://doi.org/10.1023/B:NODY.0000020959.82954.45