Skip to main content
Log in

On the concept of an equivalent column in the stability problem of compressed helical springs

Zum konzept äquivalenter stäbe für das knickproblem von Schraubenfedern

  • Originals
  • Published:
Ingenieur-Archiv Aims and scope Submit manuscript

Summary

A more exact equivalent column for buckling of helical springs is introduced. It accounts for the pitch angle and possible buckling in two planes. Non-linear compression rigidity, local bending and shear rigidities as well as lower bounds for the mean values of these rigidities are established. The problem of anisotropy of buckling of helical springs is investigated in detail.

Übersicht

Vorgeschlagen wird ein verbessertes Konzept äquivalenter Stäbe für die Knickung von Schraubenfedern. Der Steigungswinkel der Schraubenlinie sowie Knickung in zwei Ebenen werden berücksichtigt. Nichtlineare Drucksteifigkeit, lokale Biege- und Schubsteifigkeiten sowie untere Schranken für Mittelwerte dieser Steifigkeiten werden ermittelt. Das Problem der Anisotropie der Knickung von Schraubenfedern wird eingehend untersucht.

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. Berdychevsky, V. L.; Sutyrin, V. G.: A problem of an equivalent rod in nonlinear theory of springs (in Russian). Prikl. Mat. Mekh. 47 (1983) 238–248

    Google Scholar 

  2. Biezeno, C. B.; Koch, J. J.: Knickung von Schraubenfedern. Z. Angew. Math. Mech. 5 (1925) 279–280

    Google Scholar 

  3. Chernyshev, A. N.: Stability of compressed helical springs (in Russian). In: Ponomariev, S. D. (ed.) Novye metody rascheta pruzhin, pp. 57–78. Moskva: Gosud. Nau.-Tech. Izd. Mashinnostr. Liter. 1946

    Google Scholar 

  4. Grammel, R.: Die Knickung von Schraubenfedern. Z. Angew. Mat. Mech. 4 (1924) 384–389

    Google Scholar 

  5. Haringx, J. A.: On the bucklng and the laterial rigidity of helical springs. Proc. Ned. Akad. Wet. 45 (1942) 533–539, 650–654

    Google Scholar 

  6. Haringx, J. A.: On highly compressible helical springs and rubber rods, and their application for vibration-free mountings. Philips Res. Rep. 3 (1948) 401–449

    Google Scholar 

  7. Hurlbrink, E.: Berechnung zylindrischer Druckfedern auf Sicherheit gegen seitliches Ausknicken. Z. Ver. Dt. Ing. 54 (1910) 133–137, 181–184

    Google Scholar 

  8. Kernchen, E.: Zur Stabilität von Schraubenfedern. Ing. Arch. 48 (1979) 382–392

    Google Scholar 

  9. Nikolai, E. L.: On problems of spatially curved elastic bar (in Russian). In: Nikolai, E. D. (ed.) Trudy po mekhanike, pp. 45–277. Moskva: Gosud. Izd. Tech.-Teoret. Lit. 1955

    Google Scholar 

  10. Olenov, V. A.: Approximative method of calculation of critical load for multiwire helical springs under compression (in Russian). Izv. Vysh. Ucheb. Zav., Mashinostr. 9 (1977) 9–14

    Google Scholar 

  11. Polishchuk, D. F.: Elastic stability of helical springs (in Russian). Dinamika, Prochnost i Dolgovechnost Detaley Mashin 2 (1977) 38–47

    Google Scholar 

  12. Ponomariev, S. D.: Stability of helical springs under compression and torsion (in Russian). In: Chudakov, E. A. (ed.) Mashinostr., Vol. 2, pp. 683–685. Moskva: Gosud. Nauch.-Tech. Izd. Mashinostr. Lit. 1948

    Google Scholar 

  13. Satoh, T.; Kunoh, T.; Mizuno, M.: Buckling of coiled springs by combined torsion and axial compression JSME Int. J., Ser. 1, 31 (1988) 56–62

    Google Scholar 

  14. Timoshenko, S. P.; Gere, J. M.: Theory of elastic stability (2nd ed.) New York, Toronto, London: McGraw Hill 1961

    Google Scholar 

  15. Trostel, R.: Beitrag zur Berechnung räumlich gekrümmter Stäbe nach der Theorie erster Ordnung. Ing. Arch. 25 (1957) 414–423

    Google Scholar 

  16. Wahl, A. M.: Mechanical springs. New York, Toronto, London: McGraw Hill 1963

    Google Scholar 

  17. Ziegler, H.: Arguments for and against Engesser's formulas. Ing. Arch. 52 (1982) 105–113

    Google Scholar 

  18. Ziegler, H.; Huber, A.: Zur Knickung der gedrückten und tordierten Schraubenfeder. Z. Angew. Math. Phys. 1 (1950) 183–195

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krużelecki, J., Życzkowski, M. On the concept of an equivalent column in the stability problem of compressed helical springs. Ing. arch 60, 367–377 (1990). https://doi.org/10.1007/BF00542566

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00542566

Keywords

Navigation