Non-linear dynamic analysis of a flexible rotor supported on porous oil journal bearings |
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| Affiliation: | 1. School of Engineering, Anhui Agricultural University, Hefei 230036, China;2. Institute of Applied Mechanics, College of Science, Northeastern University, Shenyang 110004, China;1. The State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, People׳s Republic of China;2. College of Mechanical Engineering, Chongqing University, Chongqing 400044, People׳s Republic of China;3. Science and Technology on Vehicle Transmission Laboratory, China North Vehicle Research Institute, Beijing 100072, People׳s Republic of China;1. Department of Mechanical Engineering, Middle East Technical University, 06531 Ankara, Turkey;2. Manufacturing Research Laboratory, Sabanci University, İstanbul 81474, Turkey;1. Department of Mathematics, Malnad College of Engineering, Hassan, Karnataka, India;2. Department of Mathematics, M. S. Ramaiah Institute of Technology, Bangalore, Karnataka, India;1. School of Mechanical Science and Engineering, Huazhong University of Science & Technology, Wuhan 430074, PR China;2. State Key Lab of Digital Manufacturing Equipment & Technology, Huazhong University of Science & Technology, Wuhan 430074, PR China |
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| Abstract: | In the present paper, the non-linear dynamic analysis of a flexible rotor with a rigid disk under unbalance excitation mounted on porous oil journal bearings at the two ends is carried out. The system equation of motion is obtained by finite element formulation of Timoshenko beam and the disk. The non-linear oil-film forces are calculated from the solution of the modified Reynolds equation simultaneously with Darcy’s equation. The system equation of motion is then solved by the Wilson-θ method. Bifurcation diagrams, Poincaré maps, time response, journal trajectories, FFT-spectrum, etc. are obtained to study the non-linear dynamics of the rotor-bearing system. The effect of various non-dimensional rotor-bearing parameters on the bifurcation characteristics of the system is studied. It is shown that the system undergoes Hopf bifurcation as the speed increases. Further, slenderness ratio, material properties of the rotor, ratio of disk mass to shaft mass and permeability of the porous bush are shown to have profound effect on the bifurcation characteristics of the rotor-bearing system. |
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