A Finite Element Approach to Dynamic Characteristics of Helical Spring : Free Vibration

The free vibration of a helical spring is analyzed by a finite element method. The mass and stiffness matrices including the effects of the pitch angle and the number of active coils are derived by using the exact solution of the equations of the helical spring in static equilibrium, and the natural...

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Bibliographic Details
Published in:Bulletin of JSME 1983, Vol.26(221), pp.2002-2009
Main Authors: SAWANOBORI, Takeshi, FUKUSHIMA, Yoshiya
Format: Article
Language:English
Subjects:
Exact sciences and technology
Finite Element Approach
Free Vibration
Fundamental areas of phenomenology (including applications)
Helical Coil Spring
Natural Frequencies
Number of Active Coils
Physics
Pitch Angle
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
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Summary:The free vibration of a helical spring is analyzed by a finite element method. The mass and stiffness matrices including the effects of the pitch angle and the number of active coils are derived by using the exact solution of the equations of the helical spring in static equilibrium, and the natural frequencies and associated modes are estimated numerically. The effects of the pitch angle and the number of active coils on the natural frequencies are studied closely, and it is pointed out that the effects of the pitch angle, even if minor, should be taken into consideration. The obtained results are corroborated with the experimental results.
ISSN:0021-3764
1881-1426
DOI:10.1299/jsme1958.26.2002