Nonlinear dynamic characteristics analysis for torsional vibration of a distributed disk-rod-fastening rotor system#br#
LI Zhonggang1,2,CHEN Zhaobo1,ZHU Weidong2,3,LIANG Tingwei2
1.School of Mechatronic Engineering, Harbin Institute Technology, Harbin 150001, China;
2.School of Astronautics, Harbin Institute Technology, Harbin 150001,China;
3.University of Maryland, Mechanical Engineering, Baltimore, MA 21250, USA
Distributed disk-rod-fastening rotor systems are widely used in power machineries with the development of gas turbine technology. Here, the nonlinear dynamic characteristics of the torsional vibration of the rotor system considering influence of blade-disk contact effects were studied. The torsional vibration equation for the distributed disk-rod-fastening rotor system was established. With the method of equivalent and simplifying. Using the multi-scale method, the analytical solutions to the dynamic equation were obtained, and the rotor's amplitude-frequency equation and the analytical curves of the rotor system were figured out. Based on the singular theory, the transition set of the system were obtained. With the zero solution of the perturbation equation of the rotor dynamic system, the stability characteristics of periodic solutions of the rotor system versus the dynamic paramic parameters of the system were investigated. According to the dynamic model of the system, the relationships between the actual structural parameters and the nonlinear dynamic parameters of the system were built, the stability boundary conditions of the system were derived. The results provided a guidance for designing the rotor system of gas turbine machineries.
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