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.
Steady-State Behavior of Nonlinear Dynamic Vibration Absorber
W. J. Carter,
W. J. Carter
Department of Mechanical Engineering, The University of Texas, Austin, Tex.
F. C. Liu
Boeing Airplane Company, Seattle, Wash.
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Carter, W. J., and Liu, F. C. (March 1, 1961). "Steady-State Behavior of Nonlinear Dynamic Vibration Absorber." ASME. J. Appl. Mech. March 1961; 28(1): 67–70. https://doi.org/10.1115/1.3640468
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