Nonlinear dynamic analysis of variable lead preloaded single nut ball screw considering the variation of working parameters

Liu, Zhendong; Xu, Ming; Zhang, Hongzhuang; Li, Changyou; Yao, Guo; Li, Zhenyuan; Miao, Huihui; Wang, Chenyu; Zhang, Yimin

doi:10.1007/s11071-022-07223-x

Cited by 16 publications

(8 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In equation ( 6), K h denotes the Hertz contact stiffness between the ball and the raceway in the ball screw pair, which is related to the geometric parameters of the ball screw pair and the characteristic parameters of the material. Because the initial displacement of the ball screw pair is relatively small when subjected to axial load, the axial nonlinear elastic recovery force 8 generated by the ball screw pair in Figure 2 is:…”

Section: Elastic Recovery Force Of Ball Screw Pairmentioning

confidence: 99%

“…Zhou et al 7 proposed a new load distribution model, and the critical axial load of a double nut ball screw pair with additional elastic elements can be obtained. Liu et al 8 proposed a five-degree-of-freedom dynamic model for a variable lead preloaded single nut ball screw feed system. The model considers the effects of excitation amplitude, deflection angle, number of balls, and preload.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Research on axial nonlinear vibration characteristics of ball screw feed system considering segmented restoring force

Wu,

Luo,

Wang

2024

Advances in Mechanical Engineering

View full text Add to dashboard Cite

Taking the ball screw feed system as the research object, the two degree of freedom axial dynamic model of the system is constructed firstly. Based on Hertz contact theory, when the ball screw pair adopts variable lead self-preloading to eliminate the assembly clearance between the ball and raceway, considering the nonlinear segmented axial elastic recovery force generated by the uneven contact deformation between the ball and raceway under the action of external excitation force, further derive the nonlinear dynamic equation group of the system. Next, the fourth-order Runge-Kutta method was used to numerically solve the equation system, obtaining the system’s two and three-dimensional phase diagrams, Poincaré sections, time-domain waveform diagrams, frequency spectra, and bifurcation diagrams. Then, the effects of damping constant, initial contact angle between ball and raceway in ball screw pairs, and number of balls on the system’s response characteristics were analyzed, and the influence of external excitation forces on system stability was further studied. Finally, it was verified through experiments that the axial vibration of the system is indeed nonlinear vibration, providing a theoretical basis for the study of the dynamic characteristics of the ball screw feed system.

show abstract

Section: Elastic Recovery Force Of Ball Screw Pairmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Research on axial nonlinear vibration characteristics of ball screw feed system considering segmented restoring force

Wu,

Luo,

Wang

2024

Advances in Mechanical Engineering

View full text Add to dashboard Cite

show abstract

“…These studies underscore the significant impact of nonlinear joint characteristics and thermal effects on the dynamic behavior and machining accuracy. Liu et al [80] focus on the nonlinear dynamic analysis of a variable lead preloaded single nut ball screw, considering the variation of working parameters. This research highlights the sensitivity of dynamic behavior to operational and design parameters, guiding the development of more robust and adaptable screw mechanisms.…”

Section: Nonlinear Dynamicsmentioning

confidence: 99%

Performance and Challenges of Planetary Roller Screw Mechanism in Complex Conditions: A Comprehensive Review of Recent Progress

Miao,

Tang,

et al. 2024

Preprint

View full text Add to dashboard Cite

The Planetary Roller Screw Mechanisms (PRSMs), alongside Ball Screw Mechanisms (BSMs) and Electromechanical Actuators (EMAs), occupies a pivotal role in advancing the precision and efficiency of various industrial applications, including aerospace, automotive, and high-precision machining tools. Despite their critical advantages such as high load capacity, superior precision, and extended lifespan, the deployment of PRSMs in complex operational conditions reveals a landscape rife with challenges and opportunities for further research. This comprehensive review endeavors to dissect the multifaceted aspects of PRSMs, focusing on their mechanics and dynamics, tribology and thermal behavior, and the paramount importance of reliability and condition monitoring. By synthesizing current research findings, this paper highlights the significant advancements in understanding the static and dynamic characteristics of PRSMs, the intricate interplay between lubrication conditions and wear mechanisms, and the critical role of thermal effects on operational performance. Moreover, it delves into the dynamic models that address the impact of manufacturing imperfections, such as waviness and defects, on the reliability of these mechanisms. Despite the strides made, the review identifies critical gaps in the existing literature, particularly under conditions of extreme temperatures, large deformations, and multifaceted loads, advocating for a holistic approach to research. By proposing integrated thermo-mechanical models and emphasizing the need for empirical validations, this paper outlines a roadmap for future studies aimed at facilitating the development of more robust and reliable PRSMs, capable of meeting the demands of complex operational scenarios and advancing the field of high-precision applications in aerospace, robotics, and beyond.

show abstract

“…Step 3: Calculate the actual contact area and the force Three different deformation states of the asperities are analyzed and the critical contact areas are obtained by the Eqs. ( 12) and (13). Then the contact force is obtained by the Eqs.…”

Section: Transmission Efficiency Of the Ball Screwmentioning

confidence: 99%

“…He concluded that the preload can increase the nonlinear properties of the whole ball screw system. 13 Zhao studied the relationship between the wear and the preload degradation to estimate the position accuracy of the ball screw. It proves that the preload is linear with the wear depth and the higher the rotational speed is, the more precision lose.…”

Section: Introductionmentioning

confidence: 99%

An analysis method for the transmission efficiency of the preloaded ball screw based on wear volume calculation

Zhang

Zhou

Ren

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part J:

View full text Add to dashboard Cite

The transmission efficiency is an aggregative indicator that directly reflects the overall performance of the ball screw. While most researches focus on calculating transmission efficiency under different working conditions, few of them investigate the influencing factors that lead to the transmission efficiency change. To this end, this paper proposed a new analysis method to acquire the changing transmission efficiency with running revolution based on wear volume calculation considering lubrication. The fractal theory is introduced to describe the surface roughness, through which the modified expression of the wear volume between the balls and raceway is proposed. By submitting the wear volume into the transmission efficiency analysis model, the change of the transmission efficiency is obtained. From the experimental results, two obvious stages are shown: the rising stage with the increase of the wear volume and a steady stage as the initial preload vanishes. For higher transmission efficiency for the preloaded ball screw of the same type, the ratio of 0.75, which compares the initial preload to the external load, has some certain reference for the practical application.

show abstract

Nonlinear dynamic analysis of variable lead preloaded single nut ball screw considering the variation of working parameters

Cited by 16 publications

References 43 publications

Research on axial nonlinear vibration characteristics of ball screw feed system considering segmented restoring force

Research on axial nonlinear vibration characteristics of ball screw feed system considering segmented restoring force

Performance and Challenges of Planetary Roller Screw Mechanism in Complex Conditions: A Comprehensive Review of Recent Progress

An analysis method for the transmission efficiency of the preloaded ball screw based on wear volume calculation

Contact Info

Product

Resources

About