The dynamic vibration absorber (DVA) is a passive vibration control device which is attached to a vibrating body (called a primary system) subjected to exciting force or motion. In this paper, we will discuss an optimization problem of the three-element type DVA on the basis of the optimization criterion. The objective of the optimization is to reduce the total vibration energy of the system for overall frequencies; the total area under the power spectrum response curve is minimized in this criterion. If the system is subjected to random excitation instead of sinusoidal excitation, then the optimization is probably more desirable than the popular optimization. In the past decade there has been increasing interest in the three-element type DVA. However, most previous studies on this type of DVA were based on the optimization design, and no one has been able to find the algebraic solution as of yet. We found a closed-form exact solution for a special case where the primary system has no damping. Furthermore, the general case solution including the damped primary system is presented in the form of a numerical solution. The optimum parameters obtained here are compared to those of the conventional Voigt type DVA. They are also compared to other optimum parameters based on the criterion.
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October 2002
Technical Papers
Optimization of the Three-Element Type Dynamic Vibration Absorbers
Toshihiko Asami,
Toshihiko Asami
Mechanical Engineering, Himeji Inst. of Tech., 2167 Shosha, Himeji, Hyogo 671-2201, Japan
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Osamu Nishihara
Osamu Nishihara
Systems Science, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto 606-8501, Japan
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Toshihiko Asami
Mechanical Engineering, Himeji Inst. of Tech., 2167 Shosha, Himeji, Hyogo 671-2201, Japan
Osamu Nishihara
Systems Science, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto 606-8501, Japan
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received January 2002; Revised May 2002. Associate Editor: R. P. S. Han.
J. Vib. Acoust. Oct 2002, 124(4): 583-592 (10 pages)
Published Online: September 20, 2002
Article history
Received:
January 1, 2002
Revised:
May 1, 2002
Online:
September 20, 2002
Citation
Asami, T., and Nishihara, O. (September 20, 2002). " Optimization of the Three-Element Type Dynamic Vibration Absorbers ." ASME. J. Vib. Acoust. October 2002; 124(4): 583–592. https://doi.org/10.1115/1.1501286
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