Study on dynamic characteristics of angular ball bearing with non-linear vibration of rotor system

Abstract

A rotor system supported by an angular ball bearing displays very complicated nonlinear behaviour due to non-linear Hertzian contact force. The non-linear force and moment caused by the ball bearing are calculated on the basis of the relationship between deflection, and five-degree-of-freedom dynamic equations of the rotor ball bearing system are established. The Newmark-β method and the Newton-Raphson method are used to solve the non-linear equations. The dynamic characteristics of angular ball bearings are computed, considering the non-linear vibration of the rotor system. Taking angular ball bearing QJS208ACQ4C1/HNP4 as an example, the effects of the vibration of the rotor system on bearing dynamic characteristics are analysed. The results show that the spin-to-roll ratio of balls, the slide ratio of the cage, and stiffness of the bearing all vary obviously with the non-periodic vibration range of the rotor; initial contact angle and axial load of the ball bearing change the non-linear dynamic nature of the rotor system and dynamic characteristics of the bearing. The rotor ball bearing system can work stably by choosing the structural and operation parameters reasonably.

Nonlinear dynamic modeling of rotor system supported by angular contact ball bearings

“…Eqs. (13)(14)(15)(16) are geometric equations, which should be satisfied in the load distribution analysis.…”

“…where and (13)(14)(15)(16). Moreover, the displacement vector u o of outer race under given values of preload could be obtained accordingly.…”

“…Recently, Wang et al [14] studied dynamic characteristics of angular ball bearing with non-linear vibration of rotor system, and found that the rotor vibration significantly affects the spin-to-roll ratio of rolling balls. Babu et al [15] presented a dynamic model of a rigid shaft supported on angular contact ball bearings.…”

Nonlinear Dynamics Analysis of a Gear-Shaft-Bearing System with Breathing Crack and Tooth Wear Faults

“…If the node is rolling bearing, because of varying compliance vibration in rolling bearing, nonlinear bearing force acting on the shaft should be considered in the dynamic model, which can be obtained by solving bearing equilibrium equations use Newton-Raphson method [16][17][18]. Assemble mass, damping and nonlinear bearing force matrix are assembled into the integrated corresponding matrixes.…”

Išcentrinių pieno separatorių rotorinių sistemų su virpesių slopintuvais tyrimas ir diagnostiniai matavimai

“…Vertindami praktiniuose sukimosi įrenginiuose matomą sukimosi greičio nepastovumą, Lioulios et al (2006) aptarė greičio nepastovumo įtaką rutulinių guolių ir rotoriaus sistemos dinaminei elgsenai. Wang et al (2008) analizavo sistemos parametrų įtaką netiesinėms dinaminėms rutulinių guolių ir rotoriaus sistemų su penkiais laisvės laipsniais charakteristikoms. Bai et al (2008) tyrė ašinės išankstinės apkrovos įtaką lanksčiam rotoriui, paremtam kampinio kontakto rutuliniais guoliais.…”