A skin-model-shape based method for predicting rotation accuracy of spindles considering form errors and rotating unbalance

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-12 DOI:10.1016/j.cnsns.2025.108865

Xiaokun Hu , Qiangqiang Zhao , Tian Xie , Dewen Yu , Kang Jia , Jun Hong

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引用次数: 0

Abstract

The rotation accuracy of the spindle is crucial to the machining accuracy of the machine tool. This paper proposes a method for analyzing the rotation accuracy of the spindle while taking into account the form error. Unlike previous studies based on the ideal part, the skin model shape method is employed to obtain the assembly deviation of bearings arising from the manufacturing defect including form errors. Then the quasi-static model of ball bearings is established to determine the contact load distribution within the misaligned bearings during non-ideal rotation. On this basis, the prediction model of the spindle is developed to evaluate the rotation error of the spindle, in which the influence of the rotating unbalance is integrated through equivalenting it to a radial load applied to the rotor. Finally, the practical experiment is conducted to verify the correctness of the proposed method, and the influence of different factors on the rotation accuracy is also comprehensively investigated.

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考虑形状误差和旋转不平衡的基于蒙皮模型形状的主轴旋转精度预测方法

主轴的旋转精度对机床的加工精度至关重要。提出了一种考虑形状误差的主轴旋转精度分析方法。与以往基于理想零件的研究不同，本文采用蒙皮模型形状法来获得由于包括形状误差在内的制造缺陷引起的轴承装配偏差。然后建立了滚珠轴承的准静态模型，确定了非理想旋转过程中滚珠轴承内部的接触载荷分布。在此基础上，建立了评估主轴旋转误差的预测模型，将旋转不平衡的影响等效为施加在转子上的径向载荷，从而综合考虑其影响。最后进行了实际实验，验证了所提方法的正确性，并对不同因素对旋转精度的影响进行了全面研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.