| 静压圆柱导轨系统静态刚度理论模型研究 |
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| 引用本文： | 蒋书运,祝进波. 静压圆柱导轨系统静态刚度理论模型研究[J]. 机械工程学报, 2021, 57(23): 97-105. DOI: 10.3901/JME.2021.23.097 |
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| 作者姓名： | 蒋书运 祝进波 |
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| 作者单位： | 东南大学机械工程学院 南京 211189 |
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| 基金项目： | 国家自然科学基金资助项目（11472078）。 |
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| 摘 要： | 静态刚度是静压圆柱导轨系统的重要性能指标,然而到目前为止尚未见到该类导轨静态刚度的理论模型.研究建立静压圆柱导轨五自由度静态刚度模型,考虑到静压圆柱导轨系统是由导柱与静压直线轴承的串联系统,首先,给出了工作台位移与导柱变形、静压直线轴承位移之间的几何关系,并根据静压圆柱导轨五自由度静态刚度的定义,推导了各刚度系数的数学...
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| 关 键 词： | 静压圆柱导轨 静态刚度 五自由度 梁弯曲变形 静压理论 |
| 收稿时间： | 2020-05-06 |
Modeling on Static Siffness of Hydrostatic Linear Cylindrical Guide |
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| JIANG Shuyun,ZHU Jinbo. Modeling on Static Siffness of Hydrostatic Linear Cylindrical Guide[J]. Chinese Journal of Mechanical Engineering, 2021, 57(23): 97-105. DOI: 10.3901/JME.2021.23.097 |
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| Authors: | JIANG Shuyun ZHU Jinbo |
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| Affiliation: | School of Mechanical Engineering, Southeast University, Nanjing 211189 |
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| Abstract: | Static stiffness is an important performance index of hydrostatic cylindrical guide. The static stiffness of the hydrostatic cylindrical guide with five degrees of freedom is modeled. Considering that the hydrostatic cylindrical guide is a series system consisting of guide column and hydrostatic linear bearing, firstly, geometric relationship between displacement of worktable and deformation of the guide column and displacement of the hydrostatic linear bearing was given,and the mathematical expressions of the stiffness coefficients under five degrees of freedom were derived according to definition of the static stiffness of the hydrostatic linear cylindrical guide. Secondly, the linear superposition principle was used to deduce deformation equation of the guide column under bearing force by using the theory of beam bending deformation. Thirdly,formula for bearing capacity considering the influence of guide column deflection was derived by using the Gaussian integral and hydrostatic lubrication theory, and the displacement of the bearing bush relative to guide column was obtained. Finally, a test rig for the cylindrical hydrostatic guide rail was developed,and the static stiffness under five degrees of freedom were measured to verify the theoretical model in this study. The results show that the model for the static stiffness of the hydrostatic linear cylindrical guide with five degrees of freedom has high precision, which can lay a theoretical foundation for analyzing the static characteristic of the hydrostatic linear cylindrical guide. |
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| Keywords: | hydrostatic linear cylindrical guide static stiffness 5 degrees of freedom beam bending deformation theory hydrostatic lubrication theory |
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