Study Of Nonlinear Dynamics Of Bevel Geared Rotor System Supported On Rolling Bearings

Bevel gear transmission is widely used in power, machinery, aerospace and other fields.In this dissertation, the nonlinear dynamic behavior of the system was expounded by takingthe bevel geared rotor system of rolling bearing as research object. Firstly, based on the Hertztheory and kinematics of rolling bearings the rolling, the bearing stiffness was obtained andthe time-varying meshing stiffness of gears was calculated by using Ishikawa method. Themodel of existence and inexistence of eccentric mass, static transmission error, gear backlashwere expounded respectively under the cases of ideal and containing corrugated fault rollingbearing, and the nonlinear dynamics characteristics of bevel geared rotor system supported onrolling bearings were analyzed through the variable step Runge-kutta numerical integralmethod. The main works and conclusions are as follows:1. Based on Hertz contact theory and kinematics characteristics of the rolling bearing, thenonlinear force of rolling bearing and bevel gear meshing stiffness were analyzed, and theseven degrees of freedom nonlinear dynamic model of rolling bearing-bevel gear transmissionsystem was established.2. The differential equations were analyzed and solved by using the numerical solution,The results showed that the leading role of the vibration of rotor system was played by thegear meshing force and rolling bearing force. Under normal circumstances, when the speedwas larger, the influence of the eccentric force on system dynamics was bigger.3. Obtained from the response figure of combination of system orbit, Poincare mapping,displacement response, spectral response etc, the system of rolling bearing-bevel gear rotorunder different model would appear single periodic, quasi-periodic and chaotic of dynamicsphenomena and so on, the more nonlinear factors were considered, the speed range of chaoswill be widened, and the system was composed of a quasi-periodic and intermittence to chaoschannel. 4. The model of the drive system about rolling bearing with corrugated failure of bevelgear was built., as with a periodic excitation effect, the axis trajectory under low speed wouldpresent "8" graphics, the orbit and Poincare map has the characteristics of self-similarity.5. The dynamic influence of the damping, meshing stiffness, geometric parameters (statictransmission error, gear backlash, etc.) on the multi-gap, time varying, and unbalanced rollingbearing-bevel gear rotor system was discussed. Through the numerical analysis, thephenomenon was found that the influence of parameters on the nonlinear dynamics systemwas superior, the system was mainly to do the alternating motion of quasi-periodic andchaotic.