Skip to main content
Log in

Global optimization design method for maximizing the capacity of V-belt drive

  • Published:
Science China Technological Sciences Aims and scope Submit manuscript

Abstract

An optimization model is constructed to formulate the maximization problem on the capacity of V-belt drive. The concavity, the monotonicity and the global optimality condition are studied for the objective function, and it is proved that the feasible region of the model is bounded, closed and convex under some design conditions. Then, a solution method, called an optimal segment algorithm, is developed to find the global maximizer of the model. Under four different design conditions, solution methods are presented respectively. Some real case studies are employed to demonstrate that the model and the algorithm in this paper are promising.

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. Gerbert B G. Some notes on V-belt drives. ASME J Mech Des, 1981, 103(1): 8–18

    Article  Google Scholar 

  2. Shieh C J, Chen W H. Effect of angular speed on behavior of a V-belt drive system. Int J Mech Sci, 2002, 44(9): 1879–1892

    Article  Google Scholar 

  3. Pu L G, Ji M G, Chen G D, et al. Mechanical Design. Beijing: Higher Education Press, 2006

    Google Scholar 

  4. Sharma C S, Purohit K. Design of Machine Elements. New Delhi: Prentice Hall of India, 2003

    Google Scholar 

  5. Hamrock B J, Schmid S R, Jacobson B O. Fundamentals of Machine Elements. 2nd ed. New York: McGraw-Hill Science, 2004

    Google Scholar 

  6. Bhandari V B. Design of Machine Elements. New Delhi: Tata McGraw Hill Publishing, 2007

    Google Scholar 

  7. Srivastava N, Haque I. A review on belt and chain continuously variable transmissions (CVT): Dynamics and control. Mech Mach Theory, 2009, 44(1): 19–41

    Article  MATH  Google Scholar 

  8. Yan H B, Yuan S C, Ji W X. Design optimization of V-belt applying genetic algorithm and MATLAB toolbox. Machinery, 2008, 35(9): 23–25

    Google Scholar 

  9. Mo C S, Qian X M, Wang G G. The optimization design of V-belt transmission. J Mech Transm, 2006, 30(6): 45–46

    Google Scholar 

  10. Li H, Liang S M. Multiobjective optimum design of belt drive. J Chengdu Univ: Nat Sci, 2006, 24(1): 22–24

    Google Scholar 

  11. Guo H X, Zhang L T, Zeng J L. Fuzzy mathematical methods for the optimization design of V-belt transmission. Machinery, 2000, 27(4): 11–15

    Google Scholar 

  12. Wu H Z, Gao D P, Guo H D. Reliability design methods for V-belt transmission. Mach Des Res, 2001, 17(2): 53–54

    Google Scholar 

  13. Luo S M, Yu Y D, Guo Y F, et al. Theory on Belt Transmission and New Types of Belt Transmission. Beijing: National Defence Industry Press, 2006

    Google Scholar 

  14. GB/T 13575.1-92: Belt Drives-Classical V-belt Drives

  15. Jin Y G, Chen Y. Study of comparison between normal and optimization design of V-belt based on visual basic. Mach Tool Hyd, 2004, (4): 141–142

    Google Scholar 

  16. Tang J R. Optimal design of triangle belt transmission. J North Chin Elec Pow Univ, 1996, 23(3): 71–74

    Google Scholar 

  17. Yu G, Li D. Optimization design of airfoil based on hybrid genetic algorithm and compound form method. Sci Technol Eng, 2007, 7(10): 2292–2295

    MathSciNet  Google Scholar 

  18. Chen L Z. Optimal design methods of mechanical elements. Beijing: Metallurgical Industry Press, 2005

    Google Scholar 

  19. Xi P Y. Design optimization of V-belt driver based on fuzzy analysis. Light Ind Mach, 2004, (4): 60–62

    Google Scholar 

  20. Shi K, Wei F T, Ren L L. Optimization design of belt driving based on improved genetic algorithm. Machinery, 2006, 33(7): 18–20

    Google Scholar 

  21. Li D H, Tong X J, Wan Z. Algorithms and Theory on Numerical Optimization. Beijing: Science Press, 2010

    Google Scholar 

  22. Spotts M F. Design of Machine Element. 5th ed. Englewood Cliffs: Prentile Hall. Inc., 1978

    Google Scholar 

  23. Mechanical Design Handbook Editorial Board. Mechanical Design Handbook: Belt drive and Chain Drive. Beijing: China Machine Press, 2007

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhong Wan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, S., Wan, Z. & Liu, G. Global optimization design method for maximizing the capacity of V-belt drive. Sci. China Technol. Sci. 54, 140–147 (2011). https://doi.org/10.1007/s11431-010-4193-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11431-010-4193-z

Keywords

Navigation