Advertisement

Failure Probability of Helical Spring

  • Vladimir Kobelev
Chapter

Abstract

This chapter introduces the methodology for calculation of fatigue life of structural elements with particular application to helical springs. The methodology could be extended also for different types of springs or basic structural elements.

The spring element is investigated using the weak-link concept in this chapter. The variation of stress over the surface of the wire is accounted for the analytical calculation of failure probability. This chapter provides closed form analytical formulas for failure probability of helical compression springs. The derived solution explains the influence of spring index and wire diameter on the fatigue life.

References

  1. Chien, C.-H., LeClair, R.A., Costello, G.A.: Strength and fatigue life of wire rope. Mech. Struct. Mach. 16(2), 213–223 (1988)CrossRefGoogle Scholar
  2. DIN EN 10270-2:2012-01: Steel Wire for Mechanical Springs – Part 2: Oil Hardened and Tempered Spring Steel Wire (2012)Google Scholar
  3. EN 13906-1: 2013-11: Cylindrical Helical Springs Made from Round Wire and Bar – Calculation and Design – Part 1: Compression Springs. Beuth Verlag GmbH, Berlin (2013)Google Scholar
  4. Huhnen, J.: Abschlußbericht über Vorversuch zum Projekt – Wirkungsfaktor k’ bei Schraubenfedern. Robert Bosch GmbH, Stuttgart (1970)Google Scholar
  5. Kaiser, B.: Beitrag zur Dauerhaltbarkeit von Schraubenfedern unter besonderer Berücksichtigung des Oberflächenzustandes, Diss., TU Darmstadt, FB Maschinenbau (1981)Google Scholar
  6. Kloos, K.H., Kaiser, B.: Dauerhaltbarkeitseigenschaften von Schraubenfedern in Abhängigkeit von Wickelverhältnis und Oberflächenzustand. Draht-Fachzeitschrift 9(1977), 415–421, 539–545 (1977)Google Scholar
  7. Kobelev, V.: Weakest link concept for springs fatigue. Mech. Based Des. Struct. Mach. (2016). doi: 10.1080/15397734.2016.1255851 Google Scholar
  8. Reich, R.: Möglichkeiten und Grenzen bei der Auslegung von Schraubendruckfedern auf Basis von Umlaufbiegeprüfungen, Dissertation, Fakultät für Maschinenbau, University of Ilmenau, 149 p. (2016)Google Scholar
  9. Reich, R., Kletzin, U.: Betriebsfeste Auslegung von Schraubendruckfedern unter Verwendung dynamischer Materialkennwerte aus Umlaufbiegeprüfungen, AiF project: IGF 16999BR TU Ilmenau (2013)Google Scholar
  10. SAE: Manual on Design and Application of Helical and Spiral Springs, HS 795, SAE Headquarters, Warrendale, PA 15096 (1997)Google Scholar
  11. Wormsen, A., Härkegård, G.A.: Statistical investigation of fatigue behaviour according to Weibull’s Weakest-link theory. ESIS, Proceedings ECF15, Stockolm 2004 (2004)Google Scholar
  12. Wormsen, A., Sjödin, B., Hrkegrd, G., Fjeldstad, A.: Non-local stress approach for fatigue assessment based on weakest-link theory and statistics of extremes. Fatigue Fract. Eng. Mater. Struct. 30, 1214–1227 (2007)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Vladimir Kobelev
    • 1
  1. 1.Faculty of EngineeringUniversity of SiegenSiegenGermany

Personalised recommendations