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IssuesArchive of Issues2015-5pp.485-494

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V.P. Legeza, "Amplitude-Frequency Characteristic Equations of a Vibroprotection System with an Isochronous Roller Damper (a Nonlinear Model)," Mech. Solids. 50 (5), 485-494 (2015)
Year 2015 Volume 50 Number 5 Pages 485-494
DOI 10.3103/S0025654415050015
Title Amplitude-Frequency Characteristic Equations of a Vibroprotection System with an Isochronous Roller Damper (a Nonlinear Model)
Author(s) V.P. Legeza (National University of Life and Environmental Sciences of Ukraine, Heroyiv Oborony 15, Kiev, 03041 Ukraine, viktor.legeza@gmail.com)
Abstract The amplitude-frequency characteristic equations of a nonlinear vibroprotection system with an isochronous roller damper are obtained in the first approximation. On the basis of these equations, we carry out a numerical experiment and propose a numerical-graphical method for determining the optimal tuning parameters of such a damper. It is shown that the natural damper tuning frequency in the nonlinear setting does not coincide with the natural damper tuning frequency in the linear setting. Numerical analysis is also used to determine that the maximum amplitudes of the bearing body in the nonlinear problem exceed the maximum amplitudes of the bearing body in the linear problem. It is shown that the use of the new isochronous roller damper permits dramatically decreasing the forced vibration amplitudes of bearing bodies.
Keywords vibroprotection system, isochronous roller damper, roller brachistochrone, steady-state forced vibrations, amplitude-frequency characteristic, damper tuning parameters
References
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8.  E. Simiu and R. Scanlan, Wind Effects on Structures. An Introduction to Wind Engineering (New York, 1978).
9.  V. P. Legeza, "Vibroprotection of Dynamical Systems by Roller Dampers," (Chetverta Khvilya, Kiev, 2010) [in Ukrainian].
10.  V. P. Legeza, "Efficiency of a Vibroprotection System with an Isochronous Roller Damper," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 2, 65-76 (2013) [Mech. Solids (Engl. Transl.) 48 (2), 168-177 (2013)].
11.  V. P. Legeza, "Cycloidal Pendulum with a Rolling Cylinder," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 11-15 (2012) [Mech. Solids (Engl. Transl.) 47 (4), 380-384 (2012)].
12.  V. P. Legeza and D. V. Legeza, "Isochronous Roller Damper of Forced Vibrations," Patent of Ukraine No. 99759 (17 February 2003), F16 F7/10, E04 B1/98, Bulletin No. 18.
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16.  W. Ritz, "Über eine neue Methode zur Lösung gewisser Variationsprobleme der mathematischen Physik," J. für die reine and angewandte Mathematick (Crelle) 135 (1), 1-61.
17.  Building Regulations (SNiP) 2.01.07-85*. Loads and Their Effects. Design Norms (Gosstroi Russii, Moscow, 2004) [in Russian].
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Received 27 March 2013
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