The Effect of the Longitudinal to Transverse Moduli Ratio on the Natural Frequencies of Symmetric Cross-Ply Laminated Cylindrical Helical Springs

[+] Author and Article Information
Vebil Yildirim

Department of Mechanical Engineering, University of Çukurova, 01330 Balcali-Adana, Turkey

Erol Sancaktar

Department of Polymer Engineering, University of Akron, Akron, OH, 44325-0301

Erhan Kiral

Department of Civil Engineering, University of Çukurova, 01330 Balcali-Adana, Turkey

J. Mech. Des 121(4), 634-639 (Dec 01, 1999) (6 pages) doi:10.1115/1.2829510 History: Received May 01, 1999; Revised October 01, 1999; Online December 11, 2007


The first six free vibration frequencies of symmetric cross-ply laminated cylindrical helical springs with fixed-fixed ends are theoretically computed based on the transfer matrix method. The rotary inertia, shear and axial deformation effects are taken into account in the solution. Considering different values for the helix pitch angles and the number of active turns, a parametric study is performed to analyze the effects of the ratio of the longitudinal Young’s modulus to the transverse Young’s modulus on the natural frequencies of such springs with square section. The results are given in dimensionless graphical forms.

Copyright © 1999 by The American Society of Mechanical Engineers
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