The natural frequencies of helical springs having arbitrary shapes, such as conical, barrel and hyperboloidal, are obtained by the transfer matrix method using the distributed mass model and Timoshenko's beam theory together with the axial deformation. The governing equations of cylindrical helical
On the natural frequencies of helical compression springs
β Scribed by L.E. Becker; G.G. Chassie; W.L. Cleghorn
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 270 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0020-7403
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β¦ Synopsis
The linearized disturbance equations governing the resonant frequencies of a helical spring subjected to a static axial compressive load are solved numerically using the transfer matrix method for clamped ends and circular cross-section to produce frequency design charts. The e ect of varying the number of turns of the spring is investigated, and in the limit of large numbers of turns, our results validate earlier work on the vibration of helical compression springs in which the helix was modeled as an elastic beam with rigidities corresponding to those of unclosed circular rings.
π SIMILAR VOLUMES
Numerical and analytical studies are performed for the free vibration analysis of non-cylindrical (conical, barrel and hyperboloidal types) helical springs. The sti!ness matrix method is used in the numerical analysis. A total of 12 degrees of freedom (six displacements and six rotations) is describ
This report presents first results of very high cycle fatigue tests on helical compression springs which respond to external compressive forces with torsional stresses. The results of these investigation can add an important contribution to the experience of fatigue behaviour in the very high cycle