A smooth contact-state transition in a dynamic model of rolling-element bearings
| Autor: | Gregor Čepon, Matej Razpotnik, Miha Boltežar |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Angular acceleration
Bearing (mechanical) Acoustics and Ultrasonics Computer science business.industry Mechanical Engineering Numerical analysis 02 engineering and technology Mechanics Modular design Condensed Matter Physics 01 natural sciences law.invention Nonlinear system 020303 mechanical engineering & transports Critical speed 0203 mechanical engineering Mechanics of Materials law 0103 physical sciences Ball (bearing) business 010301 acoustics Smoothing |
| Zdroj: | Journal of Sound and Vibration. 430:196-213 |
| ISSN: | 0022-460X |
| Popis: | We present a new formulation to calculate the response of a system containing rolling-element bearings operating under a radial clearance and a dominant radial load. The nonlinear bearing force- and stiffness-displacement characteristics in combination with the bearing clearance necessitate an advanced numerical analysis. The response of a shaft-bearing-housing assembly can be unstable in the transient regions, e.g., at the start of a system run-up or when passing the critical speed of a system. This can lead to long computational times or even to non-converged solutions. In this paper, a new analytical bearing-stiffness model is presented that is capable of overcoming these problems by smoothing the nonlinear bearing force- and stiffness-displacement characteristics in the discontinuous regions. The smoothing is implemented on the deformation scale. The proposed model is modular, allowing us to define a specific value of the smoothing to each rolling element that comes into contact. A simple case study that involves two bearings of different types (ball and cylindrical roller) is presented. They support an unbalanced rotor, subjected to a constant angular acceleration. We show that a small smoothing value can significantly enhance the numerical calculation of the chosen system in terms of speed and stability. |
| Databáze: | OpenAIRE |
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