Skip to main content
Log in

Dynamical analogy approach to design of vibration absorbers with Maxwell-type viscoelastic connections

A passive electrical simulation of the properties of a Maxwell-type material as the connection between a vibrating mass and an absorber mass is shown to be a simple, convenient and effective way to determine design parameters for either displacement response or acceleration response

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

A dynamical, electrical analogy is used to evaluate criteria for the maximally flat displacement and acceleration responses of a mechanical system equipped with a vibration absorber having a Maxwell-type viscoelastic connection and subjected to harmonic forces.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. McPherson, A. T., andKlemin, A., “Engineering Uses of Rubber,”Reinhold Publishing Corp, New York, 342 (1956).

    Google Scholar 

  2. Ormondroyd, J., andDen Hartog, J. P., “The Theory of the Dynamic Vibration Absorber,”ASME Trans.,50,9 (1928).

    Google Scholar 

  3. Taylor, E. S., “Eliminating Crankshaft Torsional Vibration in Radial Aircraft Engines,”SAE Jnl. (Trans.),38 (3),81 (1936).

    Google Scholar 

  4. Harker, R. J., “Theory of the Centrifugally Tuned Vibration Absorber,”Jnl. Aero. Sci.,11, (7),197 (1944).

    Google Scholar 

  5. Eksergian, R., “The Use of the Centrifugal Pendulum Absorber for the Reduction of Linear Vibration,”ASME Trans. (Jnl. Appl. Mech.),72,103 (1950).

    Google Scholar 

  6. Brock, J. E., “Theory of the Damped Dynamic Vibration Absorber for Inertial Disturbances,”ibid.,,71,86 (1949).Discussion 222.

    Google Scholar 

  7. Sauer, F. M., andGarland, C. F., “Performance of the Viscously Damped Vibration Absorber Applied to Systems Having Frequency-Squared Excitation,”ibid.,,71,109 (1949).Discussion 421.

    Google Scholar 

  8. Mansa, J. L., “Damped Vibrations of a Two-Mass System,”Proc. 7th Intl. Congr. Appl. Mech.,4,194 (1948).

    Google Scholar 

  9. Young, D., “theory of Dynamic Vibration Absorbers for Beams,” Proc. 1st U. S. Natl. Congr. Appl. Mech., 91 (1952).

  10. Lewis, F. M., “The Extended Theory of the Viscous Vibration Damper,”ASME Trans. (Jnl. Appl. Mech.),77,377 (1955).

    Google Scholar 

  11. Sevin, E., “On the Porametric Excitation of Pendulum-Type Vibration Absorber,”ibid.,,83E (3),330 (September 1961).

    Google Scholar 

  12. Bogy, D. B., andPaslay, P. K., “Evaluation of the Fixed Point Method of Vibration Analysis for a Particular System with Initial Damping,”ASME Trans. (Jnl. Engrg. for Indus.),85B,233 (August 1963).

    Google Scholar 

  13. Snowdon, J. C., “Steady-State Behavior of the Dynamic Absorber—Addendum,”Jnl. Acous. Soc. Am.,36 (6),1121 (1964).

    Google Scholar 

  14. Radziszewski, B., “On Conditions of Asymptotical Stability of a Dynamic Vibration Absorber for Centrifugal Force Excitation,”2nd Conf. Nonlinear Vibrations, Panstwowe Wydawnictwo Naukowe, Warsaw,5,547 (1964).

    MathSciNet  Google Scholar 

  15. Carter, W. J., andLiu, F. C., “Steady-State Behavior of Nonlinear Dynamic Vibration Absorber,”ASME Trans. (Jnl. Appl. Mech.),83E (1),67 (March 1961).

    Google Scholar 

  16. Roberson, R. E., “Synthesis of a Nonlinear Dynamic Vibration Absorber,”Jnl. Frankl. Inst.,254,202 (1952).

    MathSciNet  Google Scholar 

  17. Arnold, F. R., “Steady-State Behavior of Systems Provided with Nonlinear Dynamic Vibration Absorbers,”ASME Trans. (Jnl. Appl. Mech.),77,487 (1955).

    Google Scholar 

  18. Crossley, F. R. E., “The Forced Oscillation of the Centrifugal Pendulum with Wide Angles,”ibid.,,75,41 (1953).

    Google Scholar 

  19. Newland, D. E., “Nonlinear Aspects of the Performance of Centrifusal Pendulum Vibration Absorbers,”ASME Trans. (Jnl. Eng. Indus.),86B (3),257 (Aug. 1964).

    Google Scholar 

  20. Arnold, R. N., “The Tuned and Damped Gyrostatic Vibration Absorbers,”Proc. Inst. Mech. Engrs. (London), 157 (War Emergency Issue No. 25),1 (1947).

    Google Scholar 

  21. Revva, V. F., “Dynamic Vibration Dampers for Boring Bars in Fine Boring Processes,”Stanki i Instrument,7,20,1962 [Appl. Mech. Rev. 3288 (1963)].

    Google Scholar 

  22. Laufer, Th., “A Vibration Absorber for Two-Bladed Helicopters,”Technique et Science Aeronautiques (France),4,231 (August 1959),NASA Technical Translation F-43 (November 1960).

    Google Scholar 

  23. Carlson, J. A., “The Automobile Engine as a Dynamic Vibration Absorber,” ASME Paper 59—SA-10, Semi-Annual Meeting (1959).

  24. Settles, J. C., “Application of Dynamic Vibration Absorber to Vehicles,” Proc. 2nd U. S. Natl. Congr. Appl. Mech., 111 (1954).

  25. Anon, “Satellite Oscillation Damper,” Mech. Eng.,85 (9),62 (1963).

  26. Newton, R. R., “Damping of Gravitationally Stabilized Satellite,”Jnl. AIAA,2 (1),20 (1964).

    MATH  Google Scholar 

  27. Neubert, Y. H., “Dynamic Absorbers Applied to a Bar That Has Solid Damping,”Jnl. Acous. Soc. Am.,36 (4),673 (1964).

    Google Scholar 

  28. Olson, H. F., “Electronic Control of Noise, Vibration, and Reverbreation,”ibid.,,28,966 (1956).

    Google Scholar 

  29. Bleazy, J. C., “Electronic Sound Absorber,”Jnl. Aud. Eng. Soc.,10,135 (1962).

    Google Scholar 

  30. Rockwell, T. H., andLawther, J. M., “Theoretical and Experimental Results on Active Vibration Dampers,”Jnl. Acous. Soc. Am.,36 (8),1507 (1964).

    Google Scholar 

  31. Baker, W. O., andHeiss, J. H., “Interaction of Polymers and Mechanical Waves,”Bell Sys. Tech. Jnl.,31 (2),306 (March 1952).

    Google Scholar 

  32. Soroka, W. W., “Vibration Isolators,”Prod. Eng.,28 (7)),141 (1957).

    Google Scholar 

  33. Den Hartog, J. P., “Mechanical Vibrations,”4th Ed., McGraw-Hill Book Co., Inc., New York, 101 (1956).

    Google Scholar 

  34. Soroka, W. W., “Note on the Relations Between Viscous and Structural Damping Coefficients,”Jnl. Aero. Sci.,16,409 (1949).

    Google Scholar 

  35. Soroka, W. W., “Hysteretically Damped Vibration Absorber and an Equivalent Electrical Circuit,”Experimental Mechanics,5 (2),53–58 (1965).

    Google Scholar 

  36. Grover, F. W., “Inductance Calculation,”D. Van Nostand Co., Inc., New York (1946).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Soroka, W.W. Dynamical analogy approach to design of vibration absorbers with Maxwell-type viscoelastic connections. Experimental Mechanics 5, 405–412 (1965). https://doi.org/10.1007/BF02327430

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02327430

Keywords

Navigation