考虑轴承非线性恢复力的主轴振动可靠性分析  

Spindle vibration reliability analysis considering bearing nonlinear restoring force

作　　者：黄贤振[1,2] 于瑞 刘慧珍 唐继武 HUANG Xian-zhen;YU Rui;LIU Hui-zhen;TANG Ji-wu(School of Mechanical Engineering and Automation,Northeastern University,Shenyang 110819,China;Key Laboratory of Vibration and Control of Aero-Propulsion Systems Ministry of Education of China,Northeastern University,Shenyang 110819,China;Apllied Technology College of Dalian Ocean University,Dalian 116300,China)

机构地区：[1]东北大学机械工程与自动化学院,沈阳110819 [2]东北大学航空动力装备振动及控制教育部重点实验室,沈阳110819 [3]大连海洋大学应用技术学院,辽宁大连116300

出　　处：《吉林大学学报(工学版)》2025年第1期116-124,共9页Journal of Jilin University:Engineering and Technology Edition

基　　金：国家自然科学基金项目(51975110,U22B2087);辽宁省应用基础研究计划项目(2023JH2/101300160)。

摘　　要：为了研究机床主轴振动对机床在服役期间可靠性的影响,以一种机床主轴为研究对象,将轴承非线性恢复力和转动不平衡力之和作为主轴-轴承系统的外激励,利用集中质量法建立机床主轴-轴承系统的十四自由度动力学模型,采用数值方法求解动力学方程。搭建实验台,将实验所测结果与动力学模型结果进行对比来说明系统动力学建模的有效性。然后,在考虑轴承参数随机性的情况下,以主轴轴端最大振动位移为评价指标,建立主轴振动可靠性模型。最后,采用自适应Kriging结合Monte Carlo模拟法(AK-MCS)对机床主轴振动进行可靠性分析。结果表明:本文所建立的动力学模型以及提出的可靠性评估方法具有较高精度。In order to study the effect of spindle vibration on the reliability of machine tools during service life,this paper takes a certain type of spindle as the research object,uses the sum of nonlinear bearing restoring force and rotational unbalance force as the external excitation of the spindle-bearing system,establishes a 14-degree-of-freedom dynamic model of the machine tool spindle-bearing system using the lumped mass method,and solves the dynamic equation using numerical methods.An experimental platform is built to compare the results of the experiment with the results of the dynamic model to illustrate the effectiveness of the system dynamics modeling.Then,considering the randomness of bearing parameters,a spindle vibration reliability model is established with the maximum vibration displacement of the spindle shaft end as the evaluation index.Finally,the adaptive Kriging combined with Monte Carlo simulation method(AK-MCS) is used for reliability analysis of machine tool spindle vibration.The results show that the dynamic model and reliability evaluation method proposed in this paper have high accuracy.

关 键 词：机械设计 轴端振动位移 集中质量法 动力学模型 自适应Kriging方法 可靠性 

分 类 号：TG659[金属学及工艺—金属切削加工及机床]