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General Stiffness Analysis for Multi-Axis Machine Tool

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Advanced Design and Manufacture to Gain a Competitive Edge

Abstract

The quality of multi-axis machining system is effectively affectted by the rigidity of flexible machine axes and joints, which is used to assemble the stiffness matrix at tool tip. In this paper, general stiffness model at tool tip is established for multiaxis series machine tool by principle of virtual-work and point transformation matrix. Through analysing the general stiffness characteristic, the formulation of local stiffness index is originally developed for multi-axis machine tool. It is shown that the rigidity of flexible machine axis has a significant effect on the quality of machine tool and it is necessary to take the rigidity of flexible machine axis into account. Additionally, sensitivity of mechanics parameter of flexible axis and spindle is discussed by one instance of a type of five-axis machine tool.

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7. References

  1. M. Tsutsumi, A. Saito, (2003) Identification and compensation of systematic deviations particular to 5-axis machining centers. International Journal of Machine Tools and Manufacture 43(8):771–780

    Article  Google Scholar 

  2. K.J. Campshure, (1997) Mapping your way to five-axis machining. Modern Machine Shop 70(6): 98–108

    Google Scholar 

  3. P. Zelinski, (1999) Four types of five-axis machining centers. Modern Machine Shop 71(10): 94–103

    Google Scholar 

  4. Philippe Dépincé, Jean-Yves Hascoët, (2006) Active integration of tool deflection effects in end milling. Part 1. Prediction of milled surfaces. International Journal of Machine Tools & manufacture 46:937–944

    Article  Google Scholar 

  5. G.M. Kim, B.H. Kim, C.N. Chu, (2003) Estimation of cutter deflection and form error in ball-end milling processes. International Journal of Machine Tools & Manufacture 43:917–924

    Article  Google Scholar 

  6. S.H. Ryu, H.S. Lee, C.N. Chu, (2003) The form error prediction in side wall machining considering tool deflection, International Journal of Machine tools and Manufacture 43:1405–1411.

    Article  Google Scholar 

  7. Wei Wang, Robert N. K. Loh, (1997) Passive Compliance of Flexible Link Robots: (I) A New Computation Method. IEEE ICAR’ 97:209–214 Yang Zuxiao, (1999) Transmission stiffness model for ball Screws drive. Machining Technique & Machine Tool 7:12–14

    Google Scholar 

  8. W. Wang, M.H. Ang Jr., R.N.K. Loh, (1997) Passive Compliance of Flexible Link Robots: (1I) Analysis and Application. Int. Conf. on Advanc. Rob. (ICAR).

    Google Scholar 

  9. M.H. Ang Jr., G.B. Andeen, (1995) Specifying and Achieving Passive Compliance Based on Manipulator Structure. IEEE Trans. on Robotic and Automation 11(4):504–515

    Article  Google Scholar 

  10. Han Xiaojuan, (1998) Transmission stiffness model for gear transmission system. Mechanics and Practice 20:66–67

    Google Scholar 

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© 2008 Springer-Verlag London Limited

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Yan, R., Peng, F., Li, B. (2008). General Stiffness Analysis for Multi-Axis Machine Tool. In: Yan, XT., Jiang, C., Eynard, B. (eds) Advanced Design and Manufacture to Gain a Competitive Edge. Springer, London. https://doi.org/10.1007/978-1-84800-241-8_27

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  • DOI: https://doi.org/10.1007/978-1-84800-241-8_27

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84800-240-1

  • Online ISBN: 978-1-84800-241-8

  • eBook Packages: EngineeringEngineering (R0)

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