Modelling nonlinear regenerative effects in metal cutting

Modelling nonlinear regenerative effects in metal cutting
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DOI:
10.1098/rsta.2000.0753
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发表时间:
2001-04
期刊:
Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
影响因子:
--
通讯作者:
G. Stépán
G. Stépán
中科院分区:
其他
文献类型:
--
作者:
G. Stépán

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本文研究了机床再生颤振的非线性模型。总结了现有理论的局限性和实际问题。这些在工业应用中引起困难,例如在最佳技术参数、自适应控制和/或振动抑制策略的设计中。一个工业机床振动的情况下进行了实验分析,并得出结论相对于可能的机制的非线性行为的四维相空间表示嵌入在无限维相空间的再生颤振。在某些方面,整个现象似乎类似于流体力学中的湍流。
This paper deals with the nonlinear models of regenerative chatter on machine tools. The limitations and actual problems of the existing theory are summarized. These cause difficulties in industrial applications, like in the design of optimum technological parameters, adaptive control and/or vibration–suppression strategies. An industrial machine–tool vibration case is analysed experimentally and conclusions are drawn with respect to the likely mechanism of the nonlinear behaviour in a four–dimensional phase–space representation embedded in the infinite–dimensional phase space of regenerative chatter. In some respects, the whole phenomenon seems to be analogous to the turbulence in fluid mechanics.