滚珠丝杠传动的动力学建模及安装参数辨识

IF 1.7 4区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Journal of Dynamic Systems Measurement and Control-Transactions of the Asme Pub Date : 2021-04-01 DOI:10.1115/1.4048702

Yu-Jia Hu, Wang Yaoyu, Wei-dong Zhu, H. Li

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引用次数: 3

摘要

通过对滚珠丝杠轴几何参数的推导、有限元法和基于对数正态分布修正概率密度函数的数据拟合，得到了滚珠丝杠轴等效刚度的参数表达式。基于滚珠丝杠传动轴的等效刚度，建立了考虑轴承刚度、螺母质量和轴向预紧力影响的滚珠丝杠传动动力学模型。基于贝叶斯运算模态分析(BOMA)得到的动力学模型和模态实验结果，采用遗传算法(GA)对滚珠丝杠传动的安装参数进行识别，并结合滚珠丝杠传动的固有频率、模态振型和柔韧性，提出了一种新的综合目标函数。实验验证了该方法的有效性。

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Dynamic Modeling of a Ball-Screw Drive and Identification of Its Installation Parameters

Parametric expressions of equivalent stiffnesses of a ball-screw shaft are obtained by derivation of its geometric parameters, the finite element method (FEM), and data fitting based on a modified probability density function of log-normal distribution. A dynamic model of a ball-screw drive that considers effects of bearing stiffnesses, the mass of the nut, and the axial pretension is established based on equivalent stiffnesses of its shaft. With the dynamic model and modal experimental results obtained by Bayesian operational modal analysis (BOMA), installation parameters of the ball-screw drive are identified by a genetic algorithm (GA) with a new comprehensive objective function that considers natural frequencies, mode shapes, and flexibility of the ball-screw drive. The effectiveness of the methodology is experimentally validated.

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来源期刊

Journal of Dynamic Systems Measurement and Control-Transactions of the Asme 工程技术-仪器仪表

CiteScore

3.90

自引率

11.80%

发文量

审稿时长

24.0 months

期刊介绍： The Journal of Dynamic Systems, Measurement, and Control publishes theoretical and applied original papers in the traditional areas implied by its name, as well as papers in interdisciplinary areas. Theoretical papers should present new theoretical developments and knowledge for controls of dynamical systems together with clear engineering motivation for the new theory. New theory or results that are only of mathematical interest without a clear engineering motivation or have a cursory relevance only are discouraged. "Application" is understood to include modeling, simulation of realistic systems, and corroboration of theory with emphasis on demonstrated practicality.