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A simple formula for predicting the first natural frequency of transverse vibrations of axially loaded helical springs

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A new formula that allows the first natural frequency of transverse vibrations of axially loaded steel helical springs to be determined has been presented in the paper. The relationship is easy to use and allows finding the first natural frequency of spring vibrations without the necessity of solving analytical or numerical models. According to the authors’ knowledge, this is the first such a formula and, consequently, when this frequency becomes zero, it enables determination of the critical axial force or deflection causing the buckling of the spring. The way of obtaining the described formula is presented in the paper. The results of this formula are compared with those obtained using FEM and experiments. The advantages, drawbacks and limitations of the proposed relationship are also discussed.
Rocznik
Strony
779--790
Opis fizyczny
Bibliogr. 19 poz., rys., tab.
Twórcy
  • AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics, Cracow, Poland
autor
  • AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics, Cracow, Poland
Bibliografia
  • 1. Becker L.E., Chassie G.G., Cleghorn W.L., 2002, On the natural frequencies of helical compression springs, International Journal of Mechanical Sciences, 44, 825-841
  • 2. Cieplok G., 2009, Verification of the nomogram for amplitude determination of resonance vibrations in the run-down phase of a vibratory machine, Journal of Theoretical and Applied Mechanics, 47, 295-306
  • 3. Flenker Ch., Uphoff U., 2005, Efficient valve-spring modelling with MBS valve-train design, MTZ Worldwide, 66, 946-950
  • 4. Guido A.R., Della Pietra L., Della Valle S., 1978, Transverse vibrations of helical springs, Meccanica, 13, 2, 90-108
  • 5. Haringx J.A., 1949, On highly compressible helical springs and rubber rods, and their application for vibration-free mountings, II, Philips Research Reports, 4, 49-80
  • 6. Jiang W., Jones W. K., Wang T. L., Wu K. H., 1991, Free vibrations of helical springs, Transactions of ASME, 58, 222-228
  • 7. Kobelev V., 2014, Effect of static axial compression on the natural frequencies of helical springs, Multidiscipline Modeling in Materials and Structures, 10, 379-398
  • 8. Krużelecki J., Życzkowski M., 1990, On the concept of an equivalent column in the problem of stability of compressed helical springs, Ingenieur-Archiv, 60, 367-377
  • 9. Lee J., Thompson D. J., 2001, Dynamic stiffness formulation, free vibration and wave motion of helical springs, Journal of Sound and Vibration, 239, 297-320
  • 10. Liu H., Kim D., 2009, Effects of end coils on the natural frequency of automotive engine valve springs, International Journal of Automotive Technology, 10, 413-420
  • 11. Michalczyk K., 2015a, Analysis of lateral vibrations of the axially loaded helical spring, Journal of Theoretical and Applied Mechanics, 53, 3, 745-755
  • 12. Michalczyk K., 2015b, Dynamic stresses in helical springs locally coated with highly-damping material in resonant longitudinal vibration conditions, International Journal of Mechanical Sciences, 90, 53-60
  • 13. Mottershead J.E., 1980, Finite elements for dynamical analysis of helical rods, International Journal of Mechanical Sciences, 22, 267-283
  • 14. Sapiński B., Snamina J., Jastrzębski Ł., Staśkiewicz A., 2011, Laboratory stand for testing self-powered vibration reduction systems, Journal of Theoretical and Applied Mechanics, 49, 1169-1181
  • 15. Stander N., Du Preez R. J., 1992, Vibration analysis of coil springs by means of isoparametric curved beam finite elements, Communications in Applied Numerical Methods, 8, 373-383
  • 16. Taktak M., Dammak F., Abid S., Haddar M., 2008, A finite element for dynamic analysis of a cylindrical isotropic helical spring, Journal of Materials and Structures, 3, 641-658
  • 17. Wittrick W.H., 1966, On elastic wave propagation in helical springs, International Journal of Mechanical Sciences, 8, 25-47
  • 18. Yildrim V., 1999, An efficient numerical method for predicting the natural frequencies of cylindrical helical springs, International Journal of Mechanical Sciences, 41, 919-939
  • 19. Yu A. M., Yang C. J., 2010, Formulation and evaluation of an analytical study for cylindrical helical springs, Acta Mechanica Solida Sinica, 23, 1, 85-94
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-1a3c111c-088c-4eeb-a95e-2ca818dfc1c3
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