and Applied Mechanics
0, 0, pp. , Warsaw 0
A simple formula for predicting the first natural frequency of transverse vibrations of axially loaded helical springs
References
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
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
FLENKER CH, UPHOFF U., 2005, Efficient Valve-Spring Modelling with MBS Valve-Train Design, MTZ, 66, 946-950
GUIDO A. R., DELLA PIETRA L., DELLA VALLE S., 1978, Transverse vibrations of helical springs, Meccanica, 13, 2, 90-108
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
JIANG W., JONES W. K., WANG T. L., WU K. H., 1991, Free vibrations of helical springs. Transactions of ASME, 58, 222-228
KOBELEV V., 2014, Effect of static axial compression on the natural frequencies of helical springs, Multidiscipline Modeling in Materials and Structures, 10, 379-398
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
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
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
MICHALCZYK K., 2015a, Analysis of lateral vibrations of the axially loaded helical spring, Journal of Theoretical and Applied Mechanics, 53, 3, 745-755
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
MOTTERSHEAD J.E., 1980, Finite elements for dynamical analysis of helical rods. International Journal of Mechanical Sciences, 22, 267-283
SAPIŃSKI B., SNAMINA J., JASTRZĘBSKI Ł., STAŚKIEWICZ A., 2011, Laboratory stand for testing selfpowered vibration reduction systems, Journal of Theoretical and Applied Mechanics, 49, 1169-1181.
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
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
WITTRICK W. H., On elastic wave propagation in helical springs. International, Journal of Mechanical Sciences, 8, 25-47
YILDRIM V., 1999, An efficient numerical method for predicting the natural frequencies of cylindrical helical springs, International Journal of Mechanical Sciences, 41, 919-939
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