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Journal of mechanical science and technology v.24 no.6, 2010년, pp.1203 - 1210   SCIE 피인용횟수: 1
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Mathematical model for determination of strand twist angle and diameter in stranded-wire helical springs

Wang, Shilong    (The State Key Laboratory of Mechanical Transmission, Chongqing University   ); Lei, Song    (The State Key Laboratory of Mechanical Transmission, Chongqing University   ); Zhou, Jie    (The State Key Laboratory of Mechanical Transmission, Chongqing University   ); Xiao, Hong    (The State Key Laboratory of Mechanical Transmission, Chongqing University  );
  • 초록

    The twist angle of strands has a significant effect on the performance of stranded-wire helical springs. This paper proposes two models (a precise mathematical model and an approximate mathematical model) for calculation of the twist angle and the diameter of strands formed of an arbitrary number of wires. These two parameters can be derived from the screw pitch of strands and the diameter and number of their wires, regardless of the model used. In comparative and analytical studies, it was determined that for strands with the same number of wires, the larger the ratio of the screw pitch to the diameter of the wires is, the smaller the relative errors of the two models are. Only when the foresaid ratio is two times larger than the number of wires, the results of the approximate mathematical model can be acceptable. In other cases, the approximate mathematical model cannot be used. Finally, application software was developed for direct precise-mathematical-model calculation of the twist angle and diameter of strands formed of arbitrary wires.


  • 주제어

    Stranded-wire helical spring .   Strand .   Twist angle .   Diameter .   Design.  

  • 참고문헌 (14)

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    4. H. Carlson, Spring Manufacturing Handbook, Marcel Dekker, New York, USA, (1982) 141. 
    5. J. J. Min and S. L. Wang, Analysis on Dynamic Calculation of Stranded-Wire Helical Spring, Chinese Journal of Mechanical Engineering, 43 (3) (2007) 199-203. 
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    9. Y. H. Zhang, H. H. Liu and D. C. Wang, Spring Handbook, Mechanical Industry Press, Beijing, PRC, (1999) 312-329. 
    10. M. L. Wang, Analytic Calculation of Multi-wire Helical Compression Springs With Multi-center-wires, Acta Armamentar II, (1995) 60-65. 
    11. D. W. Zhang, Handbook of Spring Design, New Technology of Manufacturing Process and Quality Control, Chinese Science and Culture Audio-video Publishing House, Beijing, PRC, (2003) 182-208. 
    12. S. Sathikh, M. B. K. Moorthy and M. Krishnan, A Symmetric Linear Elastic Model for Helical Wire Strands under Axisymmetric Loads, Journal of Strain Analysis, 31 (5) (1996) 389-399. 
    13. S. L. Wang, J. Zhou and L. Kang, Dynamic Tension of Stranded-Wire Helical Spring during Reeling, Chinese Journal of Mechanical Engineering, 44 (6) (2008) 36-42. 
    14. D. R. Wu, An Introduction to Space Analytic Geometry, .Higher Education Press, Beijing, PRC, (1989) 207-211. 
  • 이 논문을 인용한 문헌 (1)

    1. 2011. "" Journal of mechanical science and technology, 25(8): 2137~2147     

 저자의 다른 논문

  • Wang, Shilong (4)

    1. 2011 "Enhanced friction model for high-speed right-angle gear dynamics" Journal of mechanical science and technology 25 (11): 2741~2753    
    2. 2011 "Research on torsional fretting wear behaviors and damage mechanisms of stranded-wire helical spring" Journal of mechanical science and technology 25 (8): 2137~2147    
  • Lei, Song (1)

  • Zhou, Jie (3)

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