基于递阶混合有限元的滚珠丝杠驱动系统建模方法

发布时间：2018-11-28 16:55

【摘要】：高效、低成本、精密滚珠丝杠驱动技术是先进高端装备制造中最具附加价值、最有前途的发展领域之一,它将为21世纪中国制造业的发展带来重大的经济利益和社会价值。然而,如何精准地构建滚珠丝杠驱动系统的动力学模型,进而显著地提升系统工作效率,就成为精密驱动技术研究的热点和关键问题。据此,本文在前人的工作基础之上,研究滚珠丝杠驱动系统的动力学行为及其优化设计方法,为提升驱动系统高阶动态特性的预测精度提供参考,具有重要的理论价值及工程应用前景。依据实际滚珠丝杠驱动系统的工作特点,以显著提升计算精度并降低计算成本为目标,在传统混合有限元建模方法的基础上,引入由Legendre多项式推导获得的递阶形函数,构建了滚珠丝杠驱动系统的递阶混合有限元模型。通过理论计算与实验的对比分析,证实了本文所提出方法的有效性与可行性。考虑到滚珠丝杠驱动系统是一个典型的多部件连续装配体,运用递阶混合有限元方法,探明了从单个丝杠到驱动工作台的装配过程对系统动态频响的影响规律,使得丝杠、丝母及联轴器等局部关键部件设计信息融入进滚珠丝杠驱动系统动力学方程,从而为复杂驱动装备的动力学设计与预测提供理论分析手段。为了降低驱动系统动态振动的耦合效应,依据丝母接触面刚度的分布特点,并以最小变形响应为目标,构建了驱动系统参数的优化设计函数。以此为基础,确定了丝母进出角与丝杠变形振动之间的关联关系及相应的设计准则,进而达到在不增加滚珠丝杠直径的前提下有效提升驱动系统抑制弯曲振动的能力。
[Abstract]:High efficiency, low cost and precision ball screw drive technology is one of the most valuable and promising development fields in advanced high-end equipment manufacturing. It will bring great economic benefits and social value to the development of Chinese manufacturing industry in the 21st century. However, how to accurately construct the dynamic model of the ball screw drive system and improve the working efficiency of the system has become a hot and key issue in the research of precision drive technology. Therefore, on the basis of previous work, this paper studies the dynamic behavior of ball screw drive system and its optimization design method, which provides a reference for improving the prediction accuracy of high-order dynamic characteristics of the drive system. It has important theoretical value and engineering application prospect. According to the working characteristics of the actual ball screw drive system, aiming at improving the calculation accuracy and reducing the calculation cost, the hierarchical function derived from the Legendre polynomial is introduced on the basis of the traditional hybrid finite element modeling method. The hierarchical hybrid finite element model of ball screw drive system is constructed. The validity and feasibility of the proposed method are verified by comparison of theoretical calculation and experimental results. Considering that the ball screw drive system is a typical multi-component continuous assembly, the influence of the assembly process from a single lead screw to the driving table on the dynamic frequency response of the system is investigated by using the hierarchical hybrid finite element method. The design information of the local key components such as wire mother and coupling is integrated into the dynamic equation of the ball screw drive system, which provides a theoretical analysis means for the dynamic design and prediction of complex driving equipment. In order to reduce the coupling effect of the dynamic vibration of the drive system, the optimal design function of the parameters of the drive system is constructed according to the distribution characteristics of the stiffness of the contact surface of the wire bar and the objective of the minimum deformation response. On this basis, the relationship between the inlet and outlet angle of the wire mother and the deformation vibration of the lead screw and the corresponding design criteria are determined, so that the ability of the drive system to suppress the bending vibration can be effectively enhanced without increasing the diameter of the ball screw.
【学位授予单位】：西安理工大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TG659

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