Dynamic characteristics and adjustment of vibration isolators using the bilinear hysteresis
Authors: Radin V.P., Poznyak E.V., Chirkov V.P., Novikova O.V. | Published: 06.12.2022 |
Published in issue: #12(753)/2022 | |
Category: Mechanical Engineering and Machine Science | Chapter: Machine Science | |
Keywords: vibration isolator with bilinear hysteresis, bilinear diagram, hysteresis, amplitude-frequency characteristic, resonant frequency, vibration protection device |
The paper considers dynamic characteristics of a vibration protection device with bilinear deformation diagram and hysteresis behavior as part of a system with one degree of freedom. Based on results of the numerical simulation of the system’s response to harmonic effects, the amplitude-frequency characteristics (AFC) of relative displacements and absolute accelerations were constructed. AFC dependences on the limiting elastic displacement and the ratio of the diagram sections stiffness were studied. Based on the AFC, best parameters of a bilinear vibration isolator were determined to reduce the system dynamic response; besides, the nonlinear system resonant frequencies and the damping frequency regions were found.
References
[1] Kolovskiy M.Z. Nelineynaya teoriya vibrozashchitnykh ustroystv [Nonlinear theory of antivibration devices]. Moscow. Nauka Publ. 1966. 317 p. (In Russ.).
[2] Davydov Yu.A., Mukhin O.O., Zabolotnyy V.V. Research of mechanical effects on gear cases of 2(3, 4) ES5K electric locomotives. Transport Aziatsko-Tikhookeanskogo regiona [Pacific Rim Countries Transportation System], 2021, no. 3, pp. 15–19. (In Russ.).
[3] Tsyss V.G., Sergaeva M.Yu. The optimization of rubber-metal shock-absorber parameters using the final elements method. Omskiy nauchnyy vestnik [Omsk Scientific Bulletin], 2013, no. 1, pp. 78–82. (In Russ.).
[4] Tsyss V.G., Sergaeva M.Yu., Lyubykh A.M. Protection of spherical tank for preventing effect of seismological loads on hydrocarbon gas. Gazovaya promyshlennost’ [Gas Industry], 2013, no. S, pp. 23–25. (In Russ.).
[5] Aver’yanov G.S., Bel’kov V.N., Khamitov R.N. The vibration insulation of the aircraft equipment. Polet [Flight], 2013, no. 5, pp. 37–40. (In Russ.).
[6] Mormul’ R.V., Eremenko P.P., Shaydurov A.A. Mathematical simulations and experiments on the characterization of stress-strain state of elastic support elements under non-stationary thermal mechanical loading. Khimicheskaya fizika i mezoskopiya [Chemical Physics and Mesoscopy], 2019, vol. 21, no. 4, pp. 502–513, doi: https://doi.org/10.15350/17270529.2019.4.53 (in Russ.).
[7] Dashevskiy M.A., Mondrus V.L., Sizov D.K. et al. Features of the device vibration protection in existing buildings former city manor XVIII-XIX centuries, included in the complex of buildings of the state museum of A.S. Pushkina. Nauchno-tekhnicheskiy vestnik Povolzh’ya [Scientific and Technical Volga region Bulletin], 2013, no. 6, pp. 251–253. (In Russ.).
[8] Koval’chuk O.A., Zubkov D.A., Andreeva P.I. Study of the efficiency of rubber-and-metal vibroisolators produced by the "Vibroseismozashtshita" company with respect to the frame buildings erected near shallow underground railway tunnels. Vestnik MGSU, 2011, no. 6, pp. 335–340. (In Russ.).
[9] GOST R 57364-2016. Ustroystva antiseysmicheskie. Pravila proektirovaniya [State standard EN 15129:2010. Anti-seismic devices. Design rules]. Moscow. Standartinform Publ. 2017. 132 p. (In Russ.).
[10] Radin V.P., Poznyak E.V., Novikova O.V. et al. Development and study of a building model on lead rubber bearings. Vestnik MEI [Bulletin of MPEI], 2022, no. 2, pp. 105–112. (In Russ.).
[11] Kalitkin N.N. Chislennye metody [Numerical methods]. Moscow. Nauka Publ., 1978. 512 p. (In Russ.).
[12] Zakrzhevskiy M.V. Kolebaniya sushchestvenno-nelineynykh mekhanicheskikh system [oscillations of highly non-linear mechanical systems]. Riga, Zinatne Publ. 1980. 192 p. (In Russ.).
[13] Kalmár-Nagy T., Shekhawat A. Nonlinear dynamics of oscillators with bilinear hysteresis and sinusoidal excitation. Phys. D: Nonlinear Phenom., 2009, vol. 238, no. 17, pp. 1768–1786, doi: https://doi.org/10.1016/j.physd.2009.06.016
[14] Dicleli M., Karalar M. Optimum characteristic properties of isolators with bilinear force–displacement hysteresis for seismic protection of bridges built on various site soils. Soil Dyn. Earthq. Eng., 2011, vol. 31, no. 7, pp. 982–995, doi: https://doi.org/10.1016/j.soildyn.2011.03.005
[15] Balasubramanian P., Franchini G., Ferrari G. et al. Nonlinear vibrations of beams with bilinear hysteresis at supports: interpretation of experimental results. J. Sound Vib., 2021, vol. 499, art. 115998, doi: https://doi.org/10.1016/j.jsv.2021.115998