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Background: <p>The nonlinear longitudinal dynamics of ball-type linear guideways are governed by frictional contact at rolling element interfaces. This interaction leads to excitation-dependent stiffness and energy dissipation that are difficult to predict across different preload levels, guideway sizes, and configurations without repeated experimental identification.</p> Objective: <p>This study aims to develop a physics-based prediction framework that extends parameters identified from a baseline guide-way specimen to other guideway configurations operating under partial-slip-dominated conditions, without re-identification.</p> Methods: <p>A Jenkins-element-based nonlinear dynamic model is employed, in which the tangential response is characterized by load-dependent stiffness and break-free force derived from contact mechanics. Baseline parameters are obtained from contact-mechanics-based evaluation of normal contact force and tangential stiffness evolution and validated using experimental frequency response and hysteresis measurements. For prediction, variations in preload level, rolling element size, and guideway configuration are mapped to changes in normal contact force and contact ellipse geometry using Hertzian contact theory, and the corresponding Jenkins parameters are updated while preserving the baseline model structure.</p> Results: <p>The proposed framework accurately predicts resonant frequency variations, with errors within approximately 5&#xa0;% for guideways of identical size under different preload and configuration conditions, and within 7.5&#xa0;% for smaller guideways. Predicted damping levels, quantified through hysteresis loop areas, generally remain within 20&#xa0;% of experimental results, while larger discrepancies are observed at very low excitation amplitudes due to the transition from near full-stick to partial-slip conditions.</p> Conclusions: <p>The results demonstrate that the proposed framework provides a physically interpretable and computationally efficient approach for predicting stiffness-dominated nonlinear guideway dynamics. The limitations associated with energy dissipation prediction under weak excitation are also clarified.</p>

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Nonlinear Longitudinal Dynamic of Linear Guideways : Parameter Identification Across Types and Configurations

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月9日

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  • Y.-C. Lo,
  • Y.J. Chan

摘要

Background:

The nonlinear longitudinal dynamics of ball-type linear guideways are governed by frictional contact at rolling element interfaces. This interaction leads to excitation-dependent stiffness and energy dissipation that are difficult to predict across different preload levels, guideway sizes, and configurations without repeated experimental identification.

Objective:

This study aims to develop a physics-based prediction framework that extends parameters identified from a baseline guide-way specimen to other guideway configurations operating under partial-slip-dominated conditions, without re-identification.

Methods:

A Jenkins-element-based nonlinear dynamic model is employed, in which the tangential response is characterized by load-dependent stiffness and break-free force derived from contact mechanics. Baseline parameters are obtained from contact-mechanics-based evaluation of normal contact force and tangential stiffness evolution and validated using experimental frequency response and hysteresis measurements. For prediction, variations in preload level, rolling element size, and guideway configuration are mapped to changes in normal contact force and contact ellipse geometry using Hertzian contact theory, and the corresponding Jenkins parameters are updated while preserving the baseline model structure.

Results:

The proposed framework accurately predicts resonant frequency variations, with errors within approximately 5 % for guideways of identical size under different preload and configuration conditions, and within 7.5 % for smaller guideways. Predicted damping levels, quantified through hysteresis loop areas, generally remain within 20 % of experimental results, while larger discrepancies are observed at very low excitation amplitudes due to the transition from near full-stick to partial-slip conditions.

Conclusions:

The results demonstrate that the proposed framework provides a physically interpretable and computationally efficient approach for predicting stiffness-dominated nonlinear guideway dynamics. The limitations associated with energy dissipation prediction under weak excitation are also clarified.