Steady-State Behavior of Nonlinear Dynamic Vibration Absorber

[+] Author and Article Information
W. J. Carter

Department of Mechanical Engineering, The University of Texas, Austin, Tex.

F. C. Liu

Boeing Airplane Company, Seattle, Wash.

J. Appl. Mech 28(1), 67-70 (Mar 01, 1961) (4 pages) doi:10.1115/1.3640468 History: Received March 17, 1958; Revised March 14, 1960; Online September 16, 2011


The Frahm-type dynamic vibration absorber is analyzed for the case where both main and absorber springs have nonlinearities of the Duffing type. A one-term-approximation solution is assumed for the motions of the two masses, and the resulting amplitude equation is solved using a graphical procedure. It is shown that the optimum dynamic-vibration-absorber system for variable frequency excitation is that which has a hardening main spring together with a softening absorber spring.

Copyright © 1961 by ASME
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