Closure to “Discussions of ‘Steady-State Behavior of Nonlinear Dynamic Vibration Absorber’” (1961, ASME J. Appl. Mech., 28, pp. 475–476)

1961 ◽  
Vol 28 (3) ◽  
pp. 476-476
Author(s):  
W. J. Carter ◽  
F. C. Liu
Keyword(s):  
Steady State ◽  
Nonlinear Dynamic ◽  
Vibration Absorber ◽  
Dynamic Vibration Absorber ◽  
State Behavior ◽  
Dynamic Vibration ◽  
Steady State Behavior

Steady-State Behavior of Nonlinear Dynamic Vibration Absorber

1961 ◽  
Vol 28 (1) ◽  
pp. 67-70 ◽  
Author(s):  
W. J. Carter ◽  
F. C. Liu
Keyword(s):  
Amplitude Equation ◽  
Vibration Absorber ◽  
Variable Frequency ◽  
Dynamic Vibration Absorber ◽  
State Behavior ◽  
Approximation Solution ◽  
Dynamic Vibration ◽  
Frequency Excitation ◽  
Term Approximation ◽  
Steady State Behavior

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 Systems Provided With Nonlinear Dynamic Vibration Absorbers

1955 ◽  
Vol 22 (4) ◽  
pp. 487-492
Author(s):  
F. R. Arnold
Keyword(s):  
Nonlinear Dynamic ◽  
Simple Procedure ◽  
Vibration Absorbers ◽  
System Behavior ◽  
State Behavior ◽  
Dynamic Vibration ◽  
Extensive Information ◽  
Dynamic Vibration Absorbers ◽  
Steady State Behavior ◽  
Vibrating Systems

Abstract The response of vibrating systems subjected to sinusoidal excitations and to the action of nonlinear dynamic vibration absorbers is determined by means of a simple procedure. Extensive information including that from more complicated methods of analysis is obtainable. System behavior is described by means of “response diagrams,” and certain peculiarities are discussed.

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