Nonlinear film-force of journal bearing
Yang Jin
Abstract
Yang Jin
Abstract
According to the limit pressure boundary condition of a journal bearing a reynolds equation can be changed to a 2nd order nonlinear differential equation, in which variables can be separated. The expression of the film force of limited length journal bearing can be obtained by integrating the equations set. The inertia coefficient and squeeze coefficient are defined to express the inertia force and the squeeze force of the film force respectively. The film force can explain the mechanism for film force clearly and laid the foundation for further study of the dynamic characteristics of the nonlinear rotor bearing system.
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According to the limit pressure boundary condition of a journal bearing a reynolds equation can be changed to a 2nd order nonlinear differential equation, in which variables can be separated. The expression of the film force of limited length journal bearing can be obtained by integrating the equations set. The inertia coefficient and squeeze coefficient are defined to express the inertia force and the squeeze force of the film force respectively. The film force can explain the mechanism for film force clearly and laid the foundation for further study of the dynamic characteristics of the nonlinear rotor bearing system.
Key concepts: Reynolds equation, Inertia, Bearing (navigation), Nonlinear system, Force density, Rotary inertia, Mechanics, Foundation (evidence)