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.
Similar content being viewed by others
References
McPherson, A. T., andKlemin, A., “Engineering Uses of Rubber,”Reinhold Publishing Corp, New York, 342 (1956).
Ormondroyd, J., andDen Hartog, J. P., “The Theory of the Dynamic Vibration Absorber,”ASME Trans.,50,9 (1928).
Taylor, E. S., “Eliminating Crankshaft Torsional Vibration in Radial Aircraft Engines,”SAE Jnl. (Trans.),38 (3),81 (1936).
Harker, R. J., “Theory of the Centrifugally Tuned Vibration Absorber,”Jnl. Aero. Sci.,11, (7),197 (1944).
Eksergian, R., “The Use of the Centrifugal Pendulum Absorber for the Reduction of Linear Vibration,”ASME Trans. (Jnl. Appl. Mech.),72,103 (1950).
Brock, J. E., “Theory of the Damped Dynamic Vibration Absorber for Inertial Disturbances,”ibid.,,71,86 (1949).Discussion 222.
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.
Mansa, J. L., “Damped Vibrations of a Two-Mass System,”Proc. 7th Intl. Congr. Appl. Mech.,4,194 (1948).
Young, D., “theory of Dynamic Vibration Absorbers for Beams,” Proc. 1st U. S. Natl. Congr. Appl. Mech., 91 (1952).
Lewis, F. M., “The Extended Theory of the Viscous Vibration Damper,”ASME Trans. (Jnl. Appl. Mech.),77,377 (1955).
Sevin, E., “On the Porametric Excitation of Pendulum-Type Vibration Absorber,”ibid.,,83E (3),330 (September 1961).
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).
Snowdon, J. C., “Steady-State Behavior of the Dynamic Absorber—Addendum,”Jnl. Acous. Soc. Am.,36 (6),1121 (1964).
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).
Carter, W. J., andLiu, F. C., “Steady-State Behavior of Nonlinear Dynamic Vibration Absorber,”ASME Trans. (Jnl. Appl. Mech.),83E (1),67 (March 1961).
Roberson, R. E., “Synthesis of a Nonlinear Dynamic Vibration Absorber,”Jnl. Frankl. Inst.,254,202 (1952).
Arnold, F. R., “Steady-State Behavior of Systems Provided with Nonlinear Dynamic Vibration Absorbers,”ASME Trans. (Jnl. Appl. Mech.),77,487 (1955).
Crossley, F. R. E., “The Forced Oscillation of the Centrifugal Pendulum with Wide Angles,”ibid.,,75,41 (1953).
Newland, D. E., “Nonlinear Aspects of the Performance of Centrifusal Pendulum Vibration Absorbers,”ASME Trans. (Jnl. Eng. Indus.),86B (3),257 (Aug. 1964).
Arnold, R. N., “The Tuned and Damped Gyrostatic Vibration Absorbers,”Proc. Inst. Mech. Engrs. (London), 157 (War Emergency Issue No. 25),1 (1947).
Revva, V. F., “Dynamic Vibration Dampers for Boring Bars in Fine Boring Processes,”Stanki i Instrument,7,20,1962 [Appl. Mech. Rev. 3288 (1963)].
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).
Carlson, J. A., “The Automobile Engine as a Dynamic Vibration Absorber,” ASME Paper 59—SA-10, Semi-Annual Meeting (1959).
Settles, J. C., “Application of Dynamic Vibration Absorber to Vehicles,” Proc. 2nd U. S. Natl. Congr. Appl. Mech., 111 (1954).
Anon, “Satellite Oscillation Damper,” Mech. Eng.,85 (9),62 (1963).
Newton, R. R., “Damping of Gravitationally Stabilized Satellite,”Jnl. AIAA,2 (1),20 (1964).
Neubert, Y. H., “Dynamic Absorbers Applied to a Bar That Has Solid Damping,”Jnl. Acous. Soc. Am.,36 (4),673 (1964).
Olson, H. F., “Electronic Control of Noise, Vibration, and Reverbreation,”ibid.,,28,966 (1956).
Bleazy, J. C., “Electronic Sound Absorber,”Jnl. Aud. Eng. Soc.,10,135 (1962).
Rockwell, T. H., andLawther, J. M., “Theoretical and Experimental Results on Active Vibration Dampers,”Jnl. Acous. Soc. Am.,36 (8),1507 (1964).
Baker, W. O., andHeiss, J. H., “Interaction of Polymers and Mechanical Waves,”Bell Sys. Tech. Jnl.,31 (2),306 (March 1952).
Soroka, W. W., “Vibration Isolators,”Prod. Eng.,28 (7)),141 (1957).
Den Hartog, J. P., “Mechanical Vibrations,”4th Ed., McGraw-Hill Book Co., Inc., New York, 101 (1956).
Soroka, W. W., “Note on the Relations Between Viscous and Structural Damping Coefficients,”Jnl. Aero. Sci.,16,409 (1949).
Soroka, W. W., “Hysteretically Damped Vibration Absorber and an Equivalent Electrical Circuit,”Experimental Mechanics,5 (2),53–58 (1965).
Grover, F. W., “Inductance Calculation,”D. Van Nostand Co., Inc., New York (1946).
Author information
Authors and Affiliations
Rights 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
Issue Date:
DOI: https://doi.org/10.1007/BF02327430