树脂混凝土机床立柱的结构设计及性能仿真

李有堂; 吴荣荣; 黄华; 汤雷武

doi:10.13433/j.cnki.1003-8728.20200325

树脂混凝土机床立柱的结构设计及性能仿真

doi: 10.13433/j.cnki.1003-8728.20200325

兰州理工大学机电工程学院, 兰州 730050

基金项目:

国家自然科学基金项目 51965037

详细信息

作者简介:
李有堂(1963-), 教授, 博士生导师, 研究方向为抗疲劳设计与应用, 产品创新设计等, liyt@lut.cn

中图分类号: TH122;TH145.9
计量
- 文章访问数: 143
- HTML全文浏览量: 68
- PDF下载量: 22
- 被引次数: 0
出版历程
- 收稿日期: 2020-07-30
- 刊出日期: 2022-02-25

Structure Design and Performance Simulation Analysis of Resin Concrete Machine Tool Column

School of Mechanical and Electrical Engineering, Lanzhou University of Technology, Lanzhou 730050, China

摘要

摘要: 传统的以铸铁或钢材为主的机床构件的性能优化已接近极值，而高速高精的加工对机床性能的要求进一步提高，树脂混凝土材料在机床基础件中的应用得到了广泛的关注。以CK5116数控机床为例，根据等价截面原则，设计了树脂混凝土材料的立柱模型，应用有限元方法对其进行静态分析、模态分析和谐响应分析，并与传统的铸铁材料机床立柱的分析结果进行对比。结果表明：同铸铁材料机床立柱相比，树脂混凝土材料机床立柱满足了轻量化的设计要求，且静刚度有所提升，其最大响应振幅在X轴、Y轴、Z轴的振幅缩减率依次为：55.18%、77.27%、20.88%。从而证明树脂混凝土机床立柱具有更优越的抗振性能。
- 树脂混凝土 /
- 机床立柱 /
- 结构设计 /
- 轻量化 /
- 模态分析 /
- 抗振性能
Abstract: The performance optimization of the traditional machine tool structure for cast iron or steel is close to the extreme value, but the high speed and high precision machining requires the machine tool performance to be further improved. In recent years, the application of resin concrete in the foundation parts of machine tools has been widely concerned. The CK5116 Computer Numerical Control (CNC) machine tool is take as an example according to the equivalent cross section, its resin concrete column model is designed, combining with the finite element software on the static analysis, modal analysis and harmonic response analysis, and comparing with the traditional cast iron material of machine tool column. Comparing the results of the analysis, it demonstrated that the machine tool column is lightweight and the static rigidity is improved, and has better dynamic and static characteristic. The maximum response amplitude is decreased by 55.18%, 77.27% and 20.88% respectively comparing with the maximum response amplitude of cast iron in X-axis, Y-axis and Z-axis. The results show that the resin concrete machine tool column has better anti-vibration performance.
- resin concrete /
- machine tool columns /
- structural design /
- lightweight /
- modal analysis /
- vibration resistance

HTML全文

图 1 铸铁立柱模型图

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图 2 树脂混凝土立柱模型图

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图 3 立柱截面划分

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图 4 网格划分

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图 5 立柱等效应力云图

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图 6 立柱变形图

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图 7 树脂混凝土材料立柱的各阶模态振型图

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图 8 各方向频率-振幅曲线

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表 1 数值混凝土材料主要性能参数

抗压强度/MPa	抗拉强度/MPa	弹性模量E/GPa	泊松比	密度/(kg·m^-3)
162.9	34.9	43.7	0.213	2.65×10^-6

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表 2 CK5116数控机床铸铁立柱主要尺寸 mm

L₁	l₁	L₂	l₂	L₃	L₄	B₁	b₁	B₂	b₂	B₃	B₄	b₃
1 410	605	810	687	100	100	800	730	400	35	35	100	35

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表 3 CK5116数控机床树脂混凝土立柱主要尺寸 mm

L	l	B	b
1 410	1 110	800	500

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表 4 不同材料立柱性能与材料参数

立柱材料	密度/(g·cm^-3)	质量/kg	截面惯性矩I/mm⁴	断面刚度系数EI/(N·m^-1)	弹性模量/GPa	泊松比
铸铁	7.35	2 000	1.51×10¹⁰	1.812×10⁹	120	0.27
树脂混凝土	2.65	1 537	4.87×10¹⁰	2.128×10⁹	43.7	0.213

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表 5 两种立柱各阶模态振型固有频率

阶数	固有频率			阶数	固有频率
阶数	铸铁/Hz	树脂混凝土/Hz	变化率/%	阶数	铸铁/Hz	树脂混凝土/Hz	变化率/%
1阶	61.164	85.241	39.36	4阶	101.92	261.21	156.28
2阶	89.382	132.52	48.26	5阶	124.89	270.48	116.57
3阶	97.013	171.63	76.91	6阶	129.31	282.04	118.11

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表 6 最大响应振幅

方向	响应振幅
方向	铸铁/mm	树脂混凝土/mm	变化率/%
X轴	2.70×10^-3	1.21×10^-3	55.18
Y轴	7.79×10^-2	1.77×10^-2	77.27
Z轴	1.82×10^-2	1.44×10^-2	20.88

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参考文献(16)

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