Steady-State Behavior of Nonlinear Dynamic Vibration Absorber

1961 ◽  
Vol 28 (1) ◽  
pp. 67-70 ◽  
Author(s):  
W. J. Carter ◽  
F. C. Liu

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.

2020 ◽  
Vol 10 (11) ◽  
pp. 3934 ◽  
Author(s):  
Un-Chang Jeong

The present study on vibration reduction in systems wherein the excitation frequency is variable designed and fabricated a magnetorheological elastomer (MRE)-based tunable dynamic vibration absorber and evaluated its performance in an experimental manner. The design of an MRE-based adaptive tuned dynamic vibration absorber (ATDVA) involves designing two parts: stiffness and mass. Before designing the MRE-based ATDVA, this study determined the resonance frequency of a target object for vibration reduction. For the design of the ATDVA’s stiffness part, the thickness of specimens was determined by measuring the rate of variation of the MRE’s shear modulus with respect to the MRE’s thickness. The design of the mass part was optimized using sensitivity analysis and genetic algorithms after the derivation of formulas for its magnetic field and mass. Further, upon the application of an electric current to the MRE, its stiffness was measured so that the stiffness of the designed MRE-based ATDVA could be tuned accordingly. Finally, the vibration-reducing performance of the MRE-based ATDVA was evaluated to determine the applicability of the vibration absorber under the condition of variable-frequency excitation.


2019 ◽  
Vol 52 (15) ◽  
pp. 531-536
Author(s):  
Takeshi Mizuno ◽  
Takahito Iida ◽  
Yuji Ishino ◽  
Masaya Takasaki ◽  
Daisuke Yamaguchi

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