基于分形维理论的铣削振动特性实验研究
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摘要
铣削加工属复杂非线性过程,其振动特性直接影响加工工件的表面粗糙度。文章以分形维理论为实验理论依据,计算工件振动信号的关联维数和盒维数,研究铣削加工振动特性。实验结果表明,铣削振动是一种混沌运动,振动信号具有分形特征;选择合适嵌入维数计算得出的关联维数反映工件表面粗糙度真实特征,关联维数可以作为检测表面粗糙度的一个特征参量;盒维数分布在很小范围内,表明铣削参数调整对工件振动的高频特性影响不大。
Metal milling is a complex nonlinear process in which the milling vibration characteristics directly affect the surface roughness of work pieces. The actual vibration signals of the work pieces /parts were analysed. The correlation dimensions and the box dimensions of the signals of the work pieces were calculated via the fractal dimension method. The experimental results show that the milling vibration in the work pieces / parts milling process is a movement of chaos,the vibration signals of which have a temporal fractal structure. By choosing suitable insertion dimensions,the correlation dimensions can reflect the real dynamic characteristics of the surface roughness and can serve as a parameter to detect the surface roughness of the parts. The box dimension distribute in a small scale,indicating that the adjustment of milling parameters has little effect on the high frequency part of the vibration signals.
Metal milling is a complex nonlinear process in which the milling vibration characteristics directly affect the surface roughness of work pieces. The actual vibration signals of the work pieces /parts were analysed. The correlation dimensions and the box dimensions of the signals of the work pieces were calculated via the fractal dimension method. The experimental results show that the milling vibration in the work pieces / parts milling process is a movement of chaos,the vibration signals of which have a temporal fractal structure. By choosing suitable insertion dimensions,the correlation dimensions can reflect the real dynamic characteristics of the surface roughness and can serve as a parameter to detect the surface roughness of the parts. The box dimension distribute in a small scale,indicating that the adjustment of milling parameters has little effect on the high frequency part of the vibration signals.
引文
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[2]Stark G A,Moon K S.Modeling surface texture in the peripheral milling process using neural network,spline,and methods with evidence of chaos[J].Journal of Manufacturing Science and Engineering,1999,121(2):251-256.
[3]Lung Chiwei.Multirange fractals in materials:applications to fracture and mechanical alloying under ball milling[J].Journal of Materials Science and Technology,1997,13(4):255-159
[4]蒋东翔,黄文虎,徐世昌.分形几何及其在旋转机械故障诊断中的应用[J].哈尔滨工业大学学报,1996,28(2):27-31.
[5]曹茂森,任青文,王怀洪.基于小波与分形理论的地震异常检测[J].地球物理学报,2005,48(3):672-679.
[6]黄诒蓉.中国股票市场分形结构的实证研究[J].中山大学学报,2005,45(2):97-103.
[7]Zhang Xuefeng,Fan Jiulun.Extended Logistic Chaotic Sequence and Its Performance Analysis[J].Tsinghua Science and Technology,2007,12(1):156-161.
[8]王凤利,马孝江.局域波分形动力学在旋转机械故障诊断中的应用[J].农业机械学报,2004,35(2):134-137.
[9]梁平,龙新峰,樊福梅.基于分形关联维的汽轮机转子的振动故障诊断[J].华南理工大学学报,2005,34(4):85-90.
[10]吕金虑,陆君安,陈士华.混沌时间序列分析及其应用[M].武汉:武汉大学出版社,2001.
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