Research on Optimization of Height Difference of a Precision Horizontal Machining Center.

IF 3 3区 工程技术 Q2 CHEMISTRY, ANALYTICAL
Micromachines Pub Date : 2024-10-21 DOI:10.3390/mi15101279
Lin Han, Zhenyun Zhang, Xueguang Tian, Houjun Qi, Fucong Liu, Yang Qi
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引用次数: 0

Abstract

This work proposes a methodology to determine the height difference of the guideways of machine tools where two guideways are not placed on the same horizontal plane. Firstly, a rigid-flexible coupling system consisting of a moving rigid mass and an elastic overhanging beam is presented as an equivalent mechanical model of a column and a spindle box. Then, the relationship between the deviation of a reference point and the height difference or the spindle box's stroke is modeled. Next, the natural frequency and mode shape function of the overhanging beam, and the frequency response functions of the coupling system, are derived. The results indicate that there always exists an optimal height difference minimizing the relative deflection over the stroke of the moving part, and the optimal value depends on the loads in two directions and the stroke of the moving part. Similarly, there is also an optimal choice maximizing the first-order resonant frequency of the coupling system; however, the optimal solutions for both static and dynamic cases are not the same. This work provides beneficial instruction for choosing the height difference of machine tools with two guideways on a bed that are not on the same plane.

精密卧式加工中心高度差优化研究。
本研究提出了一种方法来确定机床导轨的高度差,即两个导轨不在同一水平面上。首先,提出了一个由移动刚性质量和弹性悬梁组成的刚柔耦合系统,作为立柱和主轴箱的等效机械模型。然后,模拟参考点的偏差与主轴箱行程的高度差之间的关系。接着,推导出悬挂梁的固有频率和模态振型函数,以及耦合系统的频率响应函数。结果表明,始终存在一个最佳高度差,该高度差使运动部件行程上的相对挠度最小,而最佳值取决于两个方向的载荷和运动部件的行程。同样,也存在使耦合系统一阶共振频率最大化的最佳选择;但是,静态和动态情况下的最佳解决方案并不相同。这项工作为选择机床的高度差提供了有益的指导,机床床身的两个导轨不在同一平面上。
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
Micromachines
Micromachines NANOSCIENCE & NANOTECHNOLOGY-INSTRUMENTS & INSTRUMENTATION
CiteScore
5.20
自引率
14.70%
发文量
1862
审稿时长
16.31 days
期刊介绍: Micromachines (ISSN 2072-666X) is an international, peer-reviewed open access journal which provides an advanced forum for studies related to micro-scaled machines and micromachinery. It publishes reviews, regular research papers and short communications. Our aim is to encourage scientists to publish their experimental and theoretical results in as much detail as possible. There is no restriction on the length of the papers. The full experimental details must be provided so that the results can be reproduced.
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