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On the optimum absorber parameters: revising the classical results

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The dynamic vibration absorber is a kind of mechanical device with inertia, stiffness, and damping. Once connected to a given structure or machine, it is capable of absorbing vibratory energy. As a result, the primary system can be protected from excessively high vibration levels. In this paper, we deal with classical Den Hartog’s model to clarify the known results and improve the mathematical component of this approach. We suggest the optimal choice of absorber parameters, which is slightly different and more general analytical approach. The comparison of two methods of optimization is carried out, and the corresponding error of calculus is estimated.
Rocznik
Strony
1081--1089
Opis fizyczny
Bibliogr. 16 poz., rys.
Twórcy
autor
  • Donetsk National University, Department of Higher Mathematics and Methodology of Teaching, Vinnytsya, Ukraine
  • Lodz University of Technology, Department of Automation, Biomechanics and Mechatronics, Łódź, Poland
Bibliografia
  • 1. Brown S., San Diego S. et al. (Edit.), 2002, Encyclopedia of Vibrations, Academic Press, 1685 p.
  • 2. Brock J.E., 1946, A note on the damped vibration absorber, Journal of Applied Mechanics, 68, A-284
  • 3. Den Hartog J.P., 1940, Mechanical Vibrations, 2nd ed., McGraw-Hill, New York
  • 4. Frahm H., 1911, Device for damping vibration bodies, US Patent No. 989/959, 1911
  • 5. Griffin S., Gussy J., Lane S.A., Henderson B.K., Sciulli D., 2002, Virtual skyhook vibration isolation system, Journal of Vibration and Acoustics, 124, 63-67
  • 6. Hunt J.B., 1979, Dynamic Vibration Absorbers, Mechanical Engineering Publications, London
  • 7. Johnson C.D., 1995, Design of passive damping systems, Journal of Vibration and Acoustics, 117(B), 171-175
  • 8. Korenev B.G., Reznikov L.M., 1993, Dynamic Vibration Absorbers, Wiley, New York
  • 9. Liu K., Liu J., 2005, The damped dynamic vibration absorbers: revisited and new result, Journal of Sound and Vibration, 284, 1181-1189
  • 10. Marano G.C., Greco R., Trentadue F., Chiaia B., Constrained reliability-based optimization of linear tuned mass dampers for seismic control, International Journal of Solids and Structures, 44, 22/23, 7370-7388
  • 11. Mead D.J., 2000, Passive Vibration Control, John Wiley & Sons Ltd, Chichester, West Sussex, England
  • 12. Ormondroyd J., Den Hartog J.P., 1928, The theory of the vibration absorber, Transactions of the American Society of Mechanical Engineers, 49, A9-22
  • 13. Pozdniakovich A.E., Puzyrov V.E., 2009, On the choice of the parameters of the dynamical vibration absorber, Mekhanika Tverdogo Tela, 39, 167-172
  • 14. Sun J.Q., Jolly M.R., Norris M.A., 1995, Passive, adaptive and active tuned vibration absorbers survey, Transactions of the ASME, 117, 4, 234-242
  • 15. Viet L.D., Anh N.D., Matsuhisa H., 2011, The effective damping approach to design a dynamic vibration absorber using Coriolis force, Journal of Sound and Vibration, 330, 1904-1916
  • 16. Warburton G.B., Ayorinde E.O., 1980, Optimum absorber parameters for simple systems, Earthquake Engineering and Structural Dynamics, 8, 197-217
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ba868bb4-c6a1-4d6f-8c20-b7dd1c397273
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