Dynamic Response of an Unbalanced Rigid Rotor Bearing System With a Nonlinear Hydrodynamic Force

[+] Author and Article Information
Chandan Kumar

Department of Mechanical Engineering,
Indian Institute of Technology,
Patna 801103, India
e-mail: chandan.pme14@iitp.ac.in

Somnath Sarangi

Department of Mechanical Engineering,
Indian Institute of Technology,
Patna 801103, India
e-mail: somsara@iitp.ac.in

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received July 4, 2017; final manuscript received September 20, 2017; published online July 26, 2018. Assoc. Editor: Hiroshi Yabuno.

J. Comput. Nonlinear Dynam 13(9), 090909 (Jul 26, 2018) (6 pages) Paper No: CND-17-1291; doi: 10.1115/1.4037995 History: Received July 04, 2017; Revised September 20, 2017

Planar dynamics of a rotor supported by long hydrodynamic journal bearing is investigated theoretically. An analytical model of the long journal bearing system is numerically integrated for analysis of fixed point and periodic oscillations. The nonlinearities in the system arise due to a nonlinear fluid film force acting on the journal. The influences of three dimensionless parameters, viz. bearing parameter, unbalance, and rotor speed, on the dynamic behavior of the rotor bearing system is studied and compared with the short journal bearing. For the same bearing parameter, short bearing has large operating speed compared to a long bearing. The results are presented in the form of a bifurcation diagram and Poincaré map of the oscillations based on numerical computation. The considered unbalanced system shows periodic, multiperiodic, and quasi-periodic motion in different speed range. Jumping phenomenon is also observed for a high value of bearing parameter with unbalance.

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Grahic Jump Location
Fig. 3

Branches of limit cycles for balanced rotor at Γ = {0.01,0.05,1}: (a) long hydrodynamic journal bearing (b) short hydrodynamic journal bearing

Grahic Jump Location
Fig. 2

Equilibrium curves for balanced rotor: (a) long hydrodynamic journal bearing (b) short hydrodynamic journal bearing (dashed lines represent unstable solutions, solid lines represent stable solutions or super critical bifurcation points, and dotted lines represent subcritical bifurcation points)

Grahic Jump Location
Fig. 4

Bifurcation diagram for Γ=0.01: (a) a¯=0.05 and (b) a¯=0.15

Grahic Jump Location
Fig. 5

Bifurcation diagram for Γ=0.05: (a) a¯=0.05 and (b) a¯=0.15

Grahic Jump Location
Fig. 6

Poincaré map at Γ=0.05, a¯=0.05, ω¯=1.5

Grahic Jump Location
Fig. 7

Bifurcation diagram for Γ = 1: (a) a¯=0.05 and (b) a¯=0.15



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