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Optimum absorber parameters for various combinations of response and excitation parameters

Warburton, G. B.·1982·Earthquake Engineering & Structural Dynamics

Abstract

In recent papers the author has shown that when determining optimum parameters for an absorber which minimizes the vibration response of a complex system, the latter may be treated as an equivalent single degree‐of‐freedom system if its natural frequencies are well separated. Emphasis was on minimizing the displacement response when the excitation was a harmonic force. In the present paper simple expressions for optimum absorber parameters are derived for undamped one degree‐of‐freedom main systems for harmonic and white noise random excitations with force and frame acceleration as input and minimization of various response parameters. These expressions can be used to obtain optimum parameters for absorbers attached to complex systems provided that optimization is with respect to an absolute, rather than a relative, quantity. The requirement that the natural frequencies should be well separated is investigated numerically for the different cases. The effect of damping in the main system on optimum absorber parameters is investigated also.

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Research works printed but not linked: 15

  1. Den Hartog J. P., 1956, Mechanical Vibrations
  2. 10.1002/eqe.4290080302 · DOI · Paper page
  3. 10.1002/eqe.4290080303 · DOI
  4. 10.1002/eqe.4290090306 · DOI
  5. 10.1121/1.1919039 · doi:10.1121/1.1919039
  6. Snowdon J. C., 1968, Vibration and Shock in Damped Mechanical Systems
  7. 10.1121/1.380488 · DOI
  8. 10.1016/0022-460X(71)90427-5 · doi:10.1016/0022-460x(71)90427-5
  9. Crandall S. H., 1963, Random Vibration in Mechanical Systems
  10. James H. M., 1947, Theory of Servomechanisms
  11. 10.1299/jsme1958.21.64 · DOI
  12. 10.1115/1.3255005 · DOI · Paper page
  13. Bapat V. A., 1979, Effect of primary damping on the tuning conditions of a dynamic vibration absorber, Proc. 5th world cong. theory of machines and mechanisms, 1, 329
  14. Sauer F. M., 1949, Performance of the viscously damped vibration absorber applied to systems having frequency squared excitation, J. appl. mech. ASME, 16, 109, 10.1115/1.4009923 · doi:10.1115/1.4009923
  15. 10.1016/S0022-460X(81)80176-9 · DOI

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Metadata

Authors
Warburton, G. B.
Venue
Earthquake Engineering & Structural Dynamics
Publisher
Wiley
Published
1982-05
Volume
10
Issue
3
Pages
381-401
ISSN
  • 0098-8847 (ISSN-L)
  • 1096-9845
OpenAlex
W2152709812
Cited by
1,043
References
0
FWCI
9.56
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Optimum absorber parameters for various combinations of response and excitation parameters. https://app.cochat.ai/papers/10.1002/eqe.4290100304
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Warburton, G. B. (1982). Optimum absorber parameters for various combinations of response and excitation parameters. Earthquake Engineering & Structural Dynamics. https://doi.org/10.1002/eqe.4290100304

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