Axial Static Load Dependence Free Vibration Analysis of Helical Springs Based on the Theory of Spatially Curved Bars

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YILDIRIM V.

LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES, vol.13, no.15, pp.2552-2575, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 15
  • Publication Date: 2016
  • Doi Number: 10.1590/1679-78253123
  • Journal Name: LATIN AMERICAN JOURNAL OF SOLIDS AND STRUCTURES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2552-2575
  • Keywords: Axial static force, helical spring, free vibration, transfer matrix, buckling load, Timoshenko beam, spatially curved bar, NATURAL FREQUENCIES, COMBINED COMPRESSION, ELEMENT, PROPAGATION, MATRIX
  • Çukurova University Affiliated: Yes

Abstract

This work addresses an accurate and detailed axial static load dependence linearly elastic free vibration analysis of cylindrical helical springs based on the theory of spatially curved bars and the transfer matrix method. For a continuous system, governing equations comprise coupled vibration modes namely transverse vibrations in two orthogonal planes, torsional and axial vibrations. The axial and shear deformation effects together with the rotatory inertia effects are all considered based on the first order shear deformation theory and their effects on the frequencies are investigated. The effects of the initial stress resultants on the frequencies are also studied. After buckling, forward-shifting phenomenon of higher frequencies is noticeably demonstrated. It is also revealed that a free/forced vibration analysis with an axial static load should not be performed individually without checking buckling loads.