JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, vol.65, no.1, pp.157-163, 1998 (SCI-Expanded)
In the work based on the stiffness method reported in this paper considering the rotary inertia, the axial and shear deformation terms, the natural frequencies of conical, barrel, and hyperboloidal-type helical springs fixed at both ends are calculated. The results are presented in dimensionless graphical forms for the six lowest natural frequencies of all types of noncylindrical helices for a wide range of vibrational parameters which influence the natural frequencies. A discussion about the effects of vibrational parameters on the natural frequencies is also presented.