Modeling a non-ideal rolling ball bearing joint with localized defects in planar multibody systems

Yang, Yuhu

doi:10.1007/s11044-015-9473-8

Cited by 18 publications

(3 citation statements)

References 41 publications

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“…Dynamic performance of a variety of planar and spatial mechanisms having different types of clearance joints connected by rigid or flexible links has been modeled numerically. 6,11–16 The majority of these works has involved planar 17–19 and closed-loop 20–22 mechanical systems having only one joint with clearance, such as four-bar linkages, 16,23 crank–slider mechanisms, 7,8 and pendulum mechanisms. 24 The common theoretical process mainly includes three steps, i.e.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of open-loop mechanisms with multiple spatial revolute clearance joints

Yang

Zhang

Huang

2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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Dynamic model of a typical open-loop mechanism with multiple spatial revolute clearance joints were established based on the Newton–Euler equations and the Hertzian contact deformation theory. An augmented constraint violation correction method was presented to solve the nonlinear dynamic equations of motion, which improved the global convergence and stability effectively. The nonlinear dynamic behaviors of a serial robot manipulator with two spatial revolute clearance joints were studied to demonstrate the effects of the location and coupling relationship of the clearance joints. Numerical results show that the influence of spatial revolute clearance joint on the dynamic behaviors of the open-loop mechanism is relatively stronger than that of the planar ones. The location of the spatial revolute clearance joints is an important factor to dynamic behavior of the system. The closer the spatial revolute clearance joint is to the end-effector, the stronger influence it has on the system. The spatial revolute clearance joints interact significantly with each another, which exhibits vigorous vibration with a higher frequency, larger amplitude, and deeper penetration. This work provides new insights into investigating the nonlinear dynamic behaviors of the systems with spatial revolute clearance joints.

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Section: Introductionmentioning

confidence: 99%

Dynamic analysis of open-loop mechanisms with multiple spatial revolute clearance joints

Yang

Zhang

Huang

2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…Harsha et al 28 , Wang et al 29 , and Gunhee et al 30 analyzed the effect of the raceway and ball waviness on the dynamics of rigid rotor-bearing systems. Xu et al 31 , 32 and Kankar et al 33 analyzed the influence of waviness and localized defects on the dynamic performance of mechanisms. Shao et al 34 and Wang et al 35 investigated the effect of raceway localized defects on the bearing vibration.…”

Section: Introductionmentioning

confidence: 99%

Influence of roundness errors of bearing components on rotational accuracy of cylindrical roller bearings

Xue

2022

Sci Rep

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Understanding the influence of bearing component roundness errors and roller number on the rotational accuracy of rolling bearings is crucial in the design of high precision bearings. The rotational accuracy of an assembled bearing is dependent upon roller number and roundness errors of the bearing components. We propose a model for calculating the rotational accuracy of a cylindrical roller bearing; we experimentally verified the effectiveness of the model in predicting the radial run-out of the inner ring proposed in the previous paper in this series. We sought to define the key contributing factors to the rotational accuracy by studying both the influence of the coupling effect of the roller number and the influence of the roundness errors in the inner raceway, outer raceway, and rollers on the motion error. The model and results will help engineers choose reasonable manufacturing tolerances for bearing components to achieve the required rotational accuracy.

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“…In addition, using the contact force based method, dynamic analysis of the mechanical systems with clearance joints has been extensively investigated. These researches focused on different types of clearance joints, [39][40][41] various kinds of mechanisms, [42][43][44][45][46] different contact force models, 47,48 and other dynamic characteristics. [49][50][51] In the engineering practices, clearances in many actual joints are so tiny that the normal relative velocity of the two joint components must be infinitesimal.…”

Section: Introductionmentioning

confidence: 99%

Approximate determination of the joint reaction forces in the drive system with double universal joints

Wang

Zai-kang

2017

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this study, a drive system connected by rolling bearings and double universal joints is modeled as a closed-loop multibody system. Because of the existence of redundant constraints, the joint reaction forces cannot be determined uniquely through dynamic analysis. Based on the physical mechanism where the joint reaction forces are the resultants of contact forces at the joint definition point, a methodology of frictionless contact analysis is presented to identify joint reaction forces. In terms of D'Alembert's principle, the dynamic equations of constrained multibody systems are equivalent to the equilibrium equations of all bodies composed of joint contact forces, externally applied forces, and inertial forces. The equivalent equilibrium equations provide a set of complementary equations to identify the contact positions and contact forces in the rolling bearings and double universal joints. The drive system is also simulated using ADAMS software, where all the joints are released and the corresponding constraint functions are replaced by the impact forces between the joint components. Some conclusions are obtained through the comparison of numerical examples between the proposed method and the ADAMS model. In the double universal joints, the equations are adequate and independent, which results in that the corresponding contact positions and contact forces can be solved uniquely. Then, the correlation between the data produced by these two models is acceptable in the engineering practices. Furthermore, contact details in the double universal joints can be obtained without the calculation of the relative motion between the cross-pin and yokes. However, the reaction forces in the rolling bearings are indeterminate due to that their complementary equations are not independent. The proposed method has high efficiency and acceptable precision.

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Modeling a non-ideal rolling ball bearing joint with localized defects in planar multibody systems

Cited by 18 publications

References 41 publications

Dynamic analysis of open-loop mechanisms with multiple spatial revolute clearance joints

Dynamic analysis of open-loop mechanisms with multiple spatial revolute clearance joints

Influence of roundness errors of bearing components on rotational accuracy of cylindrical roller bearings

Approximate determination of the joint reaction forces in the drive system with double universal joints

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