Dynamics of a cracked rotor system with oil-film force in parameter space
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An organization structure of global oscillation with respect to a cracked rotor system with oil-film force is investigated in this paper. We profit from GPU cluster parallel computing to present a number of high-quality phase diagrams, and exhibit global dynamic characteristics of the system. An interesting scenario, “eye” of chaos, is discovered in this cracked rotor system, emerging as the accumulation limit of forward and reverse period-doubling bifurcation cascades. In this system, it is a common phenomenon that the vibration response of the rotor presents three typical characteristics in parameter space with the rotation speed increasing. Moreover, these phase diagrams assist us to identify multi-attractor coexisting that makes the dynamics behavior of this system become more enrich and complex. These results we represent get us better to understand the nonlinear response of the cracked rotor system and are beneficial to control and diagnose the crack.
KeywordsCracked rotor system Oil-film force Dynamic characteristics Phase diagram Forward and reverse period-doubling bifurcation cascades
This work is supported by the National Natural Science Foundation of China (Nos. 11161027, 11262009), the Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20136204110001), and the Innovation and Entrepreneurship of Lanzhou city (No. 2015-RC-3).
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