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空气静压主轴的多场耦合动力学建模

Multi-Field Coupling Dynamics Modeling of Aerostatic Spindle.

作者信息

Chen Guoda, Chen Yijie

机构信息

State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou 310027, China.

College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310023, China.

出版信息

Micromachines (Basel). 2021 Mar 1;12(3):251. doi: 10.3390/mi12030251.

DOI:10.3390/mi12030251
PMID:33804342
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8001690/
Abstract

The aerostatic spindle in the ultra-precision machine tool shows the complex multi-field coupling dynamics behavior under working condition. The numerical investigation helps to better understand the dynamic characteristics of the aerostatic spindle and improve its structure and performance with low cost. A multi-field coupling 5-DOF dynamics model for the aerostatic spindle is proposed in this paper, which considers the interaction between the air film, spindle shaft and the motor. The restoring force method is employed to deal with the times varying air film force, the transient Reynolds equation of the aerostatic journal bearing and the aerostatic thrust bearing is solved using ADI method and Thomas method. The transient air film pressure of aerostatic bearings is obtained which clearly presents the influence induced by the tilt motion of the spindle shaft. The motion trajectory of the spindle shaft is obtained which shows different stability of the shaft under different external forces. The dynamics model shows good performance on simulating the multi-field coupling behavior of the aerostatic spindle under external force. which is quite meaningful and useful for the further research on the dynamic characteristics of the aerostatic spindle.

摘要

超精密机床中的空气静压主轴在工作状态下呈现出复杂的多场耦合动力学行为。数值研究有助于更好地理解空气静压主轴的动态特性,并以低成本改进其结构和性能。本文提出了一种用于空气静压主轴的多场耦合五自由度动力学模型,该模型考虑了气膜、主轴和电机之间的相互作用。采用恢复力法处理时变气膜力,用ADI法和托马斯法求解空气静压径向轴承和空气静压止推轴承的瞬态雷诺方程。得到了空气静压轴承的瞬态气膜压力,清晰地呈现了主轴倾斜运动引起的影响。得到了主轴的运动轨迹,显示了轴在不同外力作用下的不同稳定性。该动力学模型在模拟外力作用下空气静压主轴的多场耦合行为方面表现良好,对进一步研究空气静压主轴的动态特性具有重要意义和实用价值。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/bdccaaa12e22/micromachines-12-00251-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/3c73bc413cce/micromachines-12-00251-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/2465e997c6d2/micromachines-12-00251-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/09c23aaf2818/micromachines-12-00251-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/c9c203d53124/micromachines-12-00251-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/1e90233d4c0a/micromachines-12-00251-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/15e111dfac8a/micromachines-12-00251-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/ef501fb411e4/micromachines-12-00251-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/b266fd6775b8/micromachines-12-00251-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/bdccaaa12e22/micromachines-12-00251-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/3c73bc413cce/micromachines-12-00251-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/2465e997c6d2/micromachines-12-00251-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/09c23aaf2818/micromachines-12-00251-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/c9c203d53124/micromachines-12-00251-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/1e90233d4c0a/micromachines-12-00251-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/15e111dfac8a/micromachines-12-00251-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/ef501fb411e4/micromachines-12-00251-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/b266fd6775b8/micromachines-12-00251-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2c38/8001690/bdccaaa12e22/micromachines-12-00251-g009.jpg

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引用本文的文献

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本文引用的文献

1
Multi-Physics Fields Based Nonlinear Dynamic Behavior Analysis of Air Bearing Motorized Spindle.基于多物理场的空气轴承电动主轴非线性动力学行为分析
Micromachines (Basel). 2020 Jul 25;11(8):723. doi: 10.3390/mi11080723.