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Effect of inerter in traditional and variant dynamic vibration absorbers for one degree-of-freedom systems subjected to base excitations

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, closed-form optimal parameters of inerter-based variant dynamic vibration absorber (variant IDVA) coupled to a primary system subjected to base excitation are derived based on classical fixed-points theory. The proposed variant IDVA is obtained by adding an inerter alone parallel to the absorber damper in the variant dynamic vibration absorber (variant DVA). A new set of optimum frequency and damping ratio of the absorber is derived, thereby resulting in lower maximum amplitudę magnification factor than the inerter-based traditional dynamic vibration absorber (traditional IDVA). Under the optimum tuning condition of the absorbers, it is proved both analytically and numerically that the proposed variant IDVA provides a larger suppression of resonant vibration amplitude of the primary system subjected to base excitation. It is demonstrated that adding an inerter alone to the variant DVA provides 19% improvement in vibration suppression than traditional IDVA when the mass ratio is less than 0.2 and the effective frequency bandwidth of the proposed IDVA is wider than the traditional IDVA. The effect of inertance and mass ratio on the amplitude magnification factor of traditional and variant IDVA is also studied.
Rocznik
Strony
9--16
Opis fizyczny
Bibliogr. 23 poz., rys., wykr.
Twórcy
  • Department of Mechanical Engineering, Amrita of School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore, India
  • Department of Mechanical Engineering, Amrita of School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore, India
  • Department of Mechanical Engineering, Amrita of School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore, India
  • Department of Mechanical Engineering, Amrita of School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore, India
  • Department of Mechanical Engineering, Amrita of School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore, India
Bibliografia
  • [1] Asami, T., Nishihara, O. and Baz, A.: Analytical Solutions to H1 and H2 Optimization of Dynamic Vibration Absorbers Attached to Damped Linear Systems, Journal of Vibration and Acoustics, 124, 284-295, 2002.
  • [2] Brock, J.E.: A Note on the Damped Vibration Absorber, ASME Journal of Applied Mechanics, 13, A-284, 1946.
  • [3] Brown, B. and Singh, T.: Minimax design of vibration absorbers for linear damped systems, Journal of Sound and Vibration, 330, 2437-2448, 2011.
  • [4] Brzeski, P., Kapitaniak, T. and Perlikowski, P.: Novel type of tuned mass damper with inerter which enables changes of inertance, Journal of Sound and Vibration, 349, 56-66, 2015.
  • [5] Chen, M.Z.Q.: Influence of inerter on natural frequencies of vibration systems. Journal of Sound and Vibration, 333, 1874-1887, 2014.
  • [6] Cheung, Y.L. and Wong,W.O.: H2 optimization of a non-traditional dynamic vibration absorber for vibration control of structures under random force excitation, Journal of Sound and Vibration, 330, 1039-1044, 2011.
  • [7] Chun, S., Lee, Y. and Kim, T.H.: H1optimization of dynamic vibration absorber variant for vibration control of damped linear systems, Journal of Sound and Vibration, 335, 55-65, 2015.
  • [8] Fang, J. and Qi, S.W.: Optimal design of vibration absorber using minimax criterion with simplified constraints, Actamechanica, 28, 848-853, 2012.
  • [9] Frahm, H.: Device for Damping Vibrations of Bodies, U.S. Patent, No. 989, 958, 3576-3580, 1911.
  • [10] Den Hartog, J.P.: Mechanical Vibrations, 1985.
  • [11] Hu, Y.: Analysis and optimisation for inerter-based isolators via fixed-point theory and algebraic solution, Journal of Sound and Vibration, 346, 17-36, 2015.
  • [12] Hu, Y. and Chen, M.Z.Q.: Performance evaluation for inerterbased dynamic vibration absorbers, International Journal of Mechanical Sciences, 99, 297-307, 2015.
  • [13] Liu, K. and Coppola, G.: Optimal design of damped dynamic vibration absorber for damped primary systems, Transactions of the Canadian Society for Mechanical Engineering, 34, 119-135, 2010.
  • [14] Liu, K. and Liu, J.: The damped dynamic vibration absorbers: revisited and new result. Journal of Sound and Vibration, 284, 1181-1189, 2005.
  • [15] Nishihara, O. and Asami, T.: Closed-Form Solutions to the Exact Optimizations of Dynamic Vibration Absorbers (Minimizations of the Maximum Amplitude Magnification Factors), Journal of Vibration and Acoustics, 124, 576-582, 2002.
  • [16] Ormondroyd, J. and Den Hartog J.P.: The Theory of the Dynamic Vibration absorber, ASME Journal of Applied Mechanics, 50, 9- 22, 1928.
  • [17] Pennestrí, E.: An Application of Chebyshev’S Min-Max Criterion To the Optimal Design of a Damped Dynamic Vibration Absorber, Journal of Sound and Vibration, 217, 757-765, 1998.
  • [18] Randall, S.E., Halsted, D.M. and Taylor, D.P.: Optimum Vibration Absorbers for Linear Damped Systems, Journal of Mechanical Design, 103, 908-913, 1981.
  • [19] Ren, M.Z.: A Variant Design of the Dynamic Vibration Absorber, Journal of Sound and Vibration, 245, 762-770, 2001.
  • [20] Shen, Y.: Improved design of dynamic vibration absorber by using the inerter and its application in vehicle suspension, Journal of Sound and Vibration, 361, 148-158, 2015.
  • [21] Smith, M.C.: Synthesis of mechanical networks: The inerter, IEEE Transactions on Automatic Control, 47, 1648-1662, 2002.
  • [22] Thompson, A.G.: Optimum tuning and damping of a dynamic vibration absorber applied to a force excited and damped primary system, Journal of Sound and Vibration, 77, 403-415, 1981.
  • [23] Wong, W.Q. and Cheung, Y.L.: Optimal design of a damped dynamic vibration absorber for vibration control of structure excited by ground motion, Engineering Structures, 30, 282-286, 2008.
Uwagi
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-b86204fb-b2bd-45e7-83f2-afe759b9a4fa
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