Natural Vibration Analysis of a Simple Vibration Absorber

Authors

  • Peng Wang
  • Heyun Cao
  • Xingxing Feng
  • Han Wang
  • Hao Zhang

DOI:

https://doi.org/10.54097/s2264r56

Keywords:

vibration absorber, modal frequency, modal shape.

Abstract

The slender rod + mass block system is a typical elastic vibration absorber structure, with a simple structural form and strong design ability. It has wide application in engineering. This paper focuses on the inherent vibration characteristics of elastic structures and discusses the effects of gravity and typical geometric parameters on the modal frequency of the absorber structure. The calculation results show that, under the action of gravity, the overall strain rate is very low, and the impact of gravity on the structure's vibration characteristics can be ignored. With the increase of the length of mass block, length of slender rod, and the diameter of the mass block or with the decrease of diameter of slender rod, modal frequency of the elastic structure gradually decreases. The research conclusions can provide reference for the optimization design of simple elastic structures in engineering projects.

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References

G.B. Wartburton, Optimum Absorber Parameters for Minimizing Vibration Response. Earthquake Engineering and Structural Dynamics, 1981, (9):251 -262.

Brock J E. A note on the damped vibration absorber. Journal of Applied Mechanics, 13:A- 284,1946,68:248.

J. Ormondroyd, J P. DenHartog. The Theory of the Dynamic Vibration Absorber. ASME-Journal of Applied Mechanics, 1928,50(5):9-22.

D. Young. Theory of Dynamic Vibration Absorbers for Beams. Proceedings of the First U.S.NationaI Congress of Applied Mechanics. 1952:91-96.

J.C. Snowdon. Vbration of a Cantilever to Which Dynamic Absorbers are Attached[J] Journal of the Acoustical Society of America,1966, 39:878-886.

R.G. Jacquot, Optimal cantilever dynamic vibration absorber. ASME-Journal of Engineering for Industry, 1997, 99:138-141.

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Published

14-03-2024