Skip to main content
Log in

Improving cam profile design optimization based on classical splines and dynamic model

  • Published:
Journal of Central South University Aims and scope Submit manuscript

Abstract

Cam profiles play an important part in the performance of cam mechanisms. Syntheses of cam profile designs and dynamics of cam designs are studied at first. Then, a cam profile design optimization model based on the six order classical spline and single DOF (degree of freedom) dynamic model of single-dwell cam mechanisms is developed. And dynamic constraints such as jumps and vibrations of followers are considered. This optimization model, with many advantages such as universalities of applications, conveniences to operations and good performances in improving kinematic and dynamic properties of cam mechanisms, is good except for the discontinuity of jerks at the end knots of cam profiles which will cause vibrations of cam systems. However, the optimization is improved by combining the six order classical spline with general polynomial spline which is the so-called “trade-offs”. Finally, improved optimization is proven to have a better performance in designing cam profiles.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. FLOCKER F W. A versatile acceleration-based cam profile for single-dwell applications requiring cam-follower clearance during dwell [J]. Journal of Mechanical Design, 2012, 134(8): 084505-084505−7.

    Google Scholar 

  2. FLOCKER F W. A versatile cam profile for controlling interface force in multiple-dwell cam-follower systems [J]. Journal of Mechanical Design, 2012, 134(9): 081002-081002−8.

    Google Scholar 

  3. FLOCKER F W. Addressing cam wear and follower jump in single-dwell cam-follower systems with an adjustable modified trapezoidal acceleration cam profile [J]. Journal of Engineering for Gas Turbines and Power (Transactions of the ASME), 2009, 131(3): 327–335.

    Google Scholar 

  4. HSIEH J. Design and analysis of cams with three circular-arc profiles [J]. Mechanism and Machine Theory, 2010, 45(6): 955–965.

    Article  MATH  Google Scholar 

  5. LIANG Zan, HUANG Jie. Design of high-speed cam profiles for vibration reduction using command smoothing technique [J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2014, 228(18): 3322–3328.

    Google Scholar 

  6. SHIN J H, LI Lin, YANG H D, KWON S M. Kinematical system of breadth cam profile design [J]. Journal of Central South University of Technology, 2011, 18(2): 451–457.

    Article  Google Scholar 

  7. ACHARYYA S, NASKAR T K. Fractional polynomial mod traps for optimization of jerk and hertzian contact stress in cam surface [J]. Computers & Structures, 2008, 86(3): 322–329.

    Article  Google Scholar 

  8. NORTON R L. Cam Design and Manufacturing Handbook [M]. New York: Industrial Press, 2009: 186–205.

    Google Scholar 

  9. NGUYEN V T, KIM D J. Flexible cam profile synthesis method using smoothing spline curves [J]. Mechanism and Machine Theory, 2007, 42(7): 825–838.

    Article  MATH  Google Scholar 

  10. CHAVAN U, JOSHI S. Synthesis of cam profile using classical splines and the effect of knot locations on the acceleration, jump, and contact force of cam follower system [J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2011, 225(12): 3019–3030.

    Google Scholar 

  11. QIU Hua, LIN Chang-jun, LI Zi-ye, HIROAKI O, Wang Jian, YUE Yong. A universal optimal approach to cam curve design and its applications [J]. Mechanism & Machine Theory, 2005, 40(6): 669–692.

    Article  MATH  Google Scholar 

  12. NASKAR T K, MISHRA R. Introduction of control points in B-splines for synthesis of ping finite optimized cam motion program [J]. Journal of Mechanical Science & Technology, 2012, 26(2): 489–494.

    Article  Google Scholar 

  13. MANDAL M, NASKAR T K. Introduction of control points in splines for synthesis of optimized cam motion program [J]. Mechanism & Machine Theory, 2009, 44(1):255–271.

    Article  MATH  Google Scholar 

  14. JIANG J K, IWAI Y R, SU H. Minimizing and restricting vibrations in high-speed cam-follower systems over a range of speeds [J]. Journal of Applied Mechanics, 2007, 74(6): 1157–1164.

    Article  Google Scholar 

  15. JIANG J K, IWAI Y R. Improving the b-spline method of dynamically compensated cam design by minimizing or restricting vibrations in high-speed cam-follower systems [J]. Journal of Mechanical Design, 2009, 131(4): 041003-041003−8.

    Google Scholar 

  16. XIA Bi-zhong, REN Shi-yuan, SHANG Xin, LIU Xin-cheng. Dynamic analysis and optimization of cutting mechanism about aluminum electrolytic capacitor casing machine [J]. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 2015, doi: http://dx.doi.org/10.1177/1464419315611770

    Google Scholar 

  17. FABIEN B C. The design of dwell-rise-dwell cams with reduced sensitivity to parameter variation [J]. Journal of the Franklin Institute, 1995, 332(2): 195–209.

    Article  Google Scholar 

  18. YILMAZ Y, KOCABAS H. The vibration of disc cam mechanism [J]. Mechanism and Machine Theory, 1995, 30(5): 695–703.

    Article  Google Scholar 

  19. LAMPINEN J. Cam shape optimisation by genetic algorithm [J]. Computer-Aided Design, 2003, 35(8): 727–737.

    Article  Google Scholar 

  20. WANG Cheng-shuo, UZSOY R. A genetic algorithm to minimize maximum lateness on a batch processing machine [J]. Computers and Operations Research, 2002, 29(12): 1621–1640.

    Article  MathSciNet  Google Scholar 

  21. LI Yun, LIU Gang, LAO Song-yang. A genetic algorithm for community detection in complex networks [J]. Journal of Central South University, 2013, 20(5): 1269–1276.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xin Shang  (尚欣).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xia, Bz., Liu, Xc., Shang, X. et al. Improving cam profile design optimization based on classical splines and dynamic model. J. Cent. South Univ. 24, 1817–1825 (2017). https://doi.org/10.1007/s11771-017-3590-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-017-3590-x

Key words

Navigation