An analytical method for dynamic analysis of a ball bearing with offset and bias local defects in the outer race

Liu, Jing; Xu, Zidan; Xu, Yajun; Liang, Xiaodong

doi:10.1016/j.jsv.2019.114919

Cited by 31 publications

(18 citation statements)

References 34 publications

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“…H d describes the increment of displacement due to the surface crack. A half-sinusoid function is used to describe the increment of excitation displacement due the surface crack, which is given as 30 where ( δ c – δ p ) is the increment of contact deformation, θ d0 is the initial angle position of the roller passing through the surface crack, θ d is the surface crack width and θ d = d c /( r d tan α ), r d represents the radius of the outer raceway with the surface crack. The angular positions of surface crack on the outer raceway are shown in Figure 3.…”

Section: A Dynamic Model Of the Roller Bearing Including A Surface Crackmentioning

confidence: 99%

A numerical study of the contact and vibration characteristics of a roller bearing with a surface crack

Shi

Liu

Dong

2020

Proceedings of the Institution of Mechanical Engineers, Part L:

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Roller bearings are key parts in different machineries. As one of the major incipient failure models in the bearings, the surface crack will be enlarged to be a large spalling failure. Moreover, the abrupt changes in the contact characteristics caused by the crack zone would produce unacceptable impulses, which can affect the bearing vibrations. Thus, a study of the contact characteristics and vibrations of the bearings including the surface crack could be conducive for the incipient fault monitoring methods. To overcome this issue, a finite element model is proposed to obtain the influences of the depth and slope angle of a surface crack on the contact characteristics in a roller bearing. The relationships between the contact characteristics (contact deformation, width and stiffness) and crack sizes (depth and slope angle) are established. To study the influences of the surface crack sizes on the bearing vibrations, a dynamic model of the roller bearing considering the surface crack is also proposed. An experiment is introduced to verify the proposed method. It seems that the crack depth and slope angle can greatly affect the contact and vibration characteristics of the bearing. This study provides a helpful numerical approach for understanding the contact and vibration characteristics of roller bearings with various surface cracks.

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Section: A Dynamic Model Of the Roller Bearing Including A Surface Crackmentioning

confidence: 99%

A numerical study of the contact and vibration characteristics of a roller bearing with a surface crack

Shi

Liu

Dong

2020

Proceedings of the Institution of Mechanical Engineers, Part L:

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“…Patil et al 23 proposed an analogy for estimating the defect size by correlating acceleration-peaks at impact with contact-force inside the loaded zone. Liu et al 24 used his already developed piecewise function for analyzing the behavior of a deep groove ball bearing with localized while the rolling-elements followed offset, and bias trajectories. Harmonic Product Spectrum (HPS) [25][26][27] was used as a tool for the detecting the fundamental frequency from a signal having interferences from many sources.…”

Section: Introductionmentioning

confidence: 99%

An autonomous method for diagnosing raceway defects and misalignment in a self-aligning rolling-element bearing

Parmar

Saran

Harsha

2022

Proceedings of the Institution of Mechanical Engineers, Part K:

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This paper presents an autonomous method to diagnose a double-row self-aligning ball bearing for any dynamic misalignment or localized defects, using vibration signals. The frequency spectra from the experimental investigation revealed that irrespective of the health condition of the bearing i.e. either healthy or defective, the frequency spectrum had a clear cage frequency peak whenever the system was under dynamic-misalignment. An improved version of Harmonic Product Spectrum (HPS) called sideband product spectrum (SPS) was used to identify the cage frequency peaks which was preprocessed using kurtosis-based band-pass filter and parameter-optimized variational mode decomposition (VMD) algorithm. A mathematical model is also presented to analyze the dynamic behavior of double-row self-aligning ball bearing under such conditions. From the model, it was realized that during misalignment, the contact load shared by the rolling elements, generates some moment which has a tendency to rotate the bearing’s inner-race about the radial axis and thus resulting in a wobbly rotary motion. This wobbly motion of the inner race in fact characterizes the bearing for dynamic misalignment. The simulated results were in accordance with the experimentally obtained results.

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“…For the study on friction moments, Liu et al [18] proposed a time-varying friction moment calculation method considering elastic material hysteresis, slipping friction, viscous friction, and tangential friction of lubricant film between bearing components. In addition, the relationship between friction moments and shaft velocity, combined loads, lubrication conditions, surface and machining errors are studied [19][20][21]. These calculation criterions of friction moments are referenced for evaluating the power loss in this work.…”

Section: Introductionmentioning

confidence: 99%

“…Figure21 Rotation and revolution speeds of balls and power loss when changing rotation speed of inner ring at Fa=1000 N.For the open lubrication method in engineering applications, Fig.22presents the streamline distribution inside the bearing cavity at low, high and ultra-high speeds. It can be found that oil-air flows out the bearing cavity and no balls are surrounded balls at low speed (5000 r/min), suggesting the difficulties in forming the oil-film on balls' surfaces and dissipating friction heat.…”

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Effect of Bearing Structure on Oil-air Flow and Temperature of High Speed Ball Bearing by Combining Nonlinear Dynamic and CFD Model

Deng

Zhao

Qian

et al. 2021

Preprint

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To achieve effective cooling for high speed ball bearings, an investigation on the effect of bearing structure on oil-air flow and temperature inside bearing chamber is necessary. However, accurately defining boundary conditions of CFD model for high speed ball bearings has not been addressed completely. Adopting an improved dynamic model of bearings to calculate movements of balls and power loss to set the movement boundary and heat source of CFD model at high-low speeds and light-heavy loads. Then, rotational speed of cage and temperature of outer ring at various loads are tested to validate this proposed method. At high speeds, enlarging sealing degree of outlet not only reduces the temperature rise of bearings and improves the uniformity of temperature distribution, but also promotes the formation of oil-film on balls’ surfaces without increasing power loss. Yet it can reduce the temperature rise but can’t markedly improve the formation of oil-film at low and ultra-high speeds. Moreover, half birfield cage facing nozzle plays an important role in improving oil volume fraction inside the bearing cavity to reduce the temperature rise of bearings, and the next is birfield cage, they are again corrugated cage and half birfield cage back towards nozzle. These research results provide theoretical guidance for the improvement of bearing structure.

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An analytical method for dynamic analysis of a ball bearing with offset and bias local defects in the outer race

Cited by 31 publications

References 34 publications

A numerical study of the contact and vibration characteristics of a roller bearing with a surface crack

A numerical study of the contact and vibration characteristics of a roller bearing with a surface crack

An autonomous method for diagnosing raceway defects and misalignment in a self-aligning rolling-element bearing

Effect of Bearing Structure on Oil-air Flow and Temperature of High Speed Ball Bearing by Combining Nonlinear Dynamic and CFD Model

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