This work is licensed under the Creative Commons Attribution 4.0 International License.
Dallard P., Fitzpatrick T., Flint A., Low A., Smith R.R., Willford M., Roche M., 2001. London Millennium Bridge: Pedestrian-Induced Lateral Vibration, Journal of Bridge Engineering 6(6), 412 – 417.DallardP.FitzpatrickT.FlintA.LowA.SmithR.R.WillfordM.RocheM.2001London Millennium Bridge: Pedestrian-Induced Lateral Vibration6641241710.1061/(ASCE)1084-0702(2001)6:6(412)Search in Google Scholar
Yau J.D., Yang Y.B., 2004. Vibration reduction for cable-stayed bridges traveled by high-speed trains, Finite Elements in Analysis and Design 40, 341 – 359.YauJ.D.YangY.B.2004Vibration reduction for cable-stayed bridges traveled by high-speed trains4034135910.1016/S0168-874X(03)00051-9Search in Google Scholar
Majcher K., Wójcicki Z., 2014. Kinematically excited parametric vibration of a tall building model with a TMD. Pt. 1, Numerical analyses. Archives of Civil and Mechanical Engineering 14(1), 204–217.MajcherK.WójcickiZ.2014Kinematically excited parametric vibration of a tall building model with a TMD. Pt. 1, Numerical analyses14120421710.1016/j.acme.2013.09.004Search in Google Scholar
Herbut A., Rybak J., Brząkała W., 2020. On a Sensor Placement Methodology for Monitoring the Vibrations of Horizontally Excited Ground Sensors 20(7), 1938; https://doi.org/10.3390/s20071938.HerbutA.RybakJ.BrząkałaW.2020On a Sensor Placement Methodology for Monitoring the Vibrations of Horizontally Excited Ground2071938https://doi.org/10.3390/s20071938.10.3390/s20071938718079432235664Search in Google Scholar
Den Hartog J.P., 1985. Mechanical Vibrations, 4th ed., Dover, New York.Den HartogJ.P.19854th ed.DoverNew YorkSearch in Google Scholar
Korenev B. G., Reznikov L.M., 1993. Dynamic vibration absorbers, John Wiley.KorenevB. G.ReznikovL.M.1993John WileySearch in Google Scholar
Soong T.T., Dargush G.F., 1997. Passive Energy dissipation systems in structural Engineering, Wiley, New York.SoongT.T.DargushG.F.1997WileyNew York10.1201/9781439834350.ch27Search in Google Scholar
Jacquot R. Q., Hoppe D. H., 1973. Optimum random vibration absorbers, Journal of the Engineering Mechanics Division, ASCE 99, 612–616.JacquotR. Q.HoppeD. H.1973Optimum random vibration absorbers9961261610.1061/JMCEA3.0001771Search in Google Scholar
Cheung Y.L., Wong W.O., 2013. Optimization of a hybrid vibration absorber for vibration control of structures under force excitation, Journal of Sound and Vibration, 332, 494–509.CheungY.L.WongW.O.2013Optimization of a hybrid vibration absorber for vibration control of structures under force excitation33249450910.1016/j.jsv.2012.09.014Search in Google Scholar
Sinha A., 2009, Optimal damped vibration absorber for narrow band random excitations a mixed H2/H∞ optimization, Probabilistic Engineering Mechanics 24, 251–254.SinhaA.2009Optimal damped vibration absorber for narrow band random excitations a mixed H2/H∞ optimization2425125410.1016/j.probengmech.2008.06.005Search in Google Scholar
Tigli O.F., 2012. Optimum vibration absorber (tuned mass damper) design for linear damped systems subjected to random loads, Journal of Sound and Vibration 331, 3035–3049.TigliO.F.2012Optimum vibration absorber (tuned mass damper) design for linear damped systems subjected to random loads3313035304910.1016/j.jsv.2012.02.017Search in Google Scholar
Sieniawska R., Sniady P., Zukowski S., 1996. Optimization of stochastic vibrations absorbers with respect to structure's reliability, Structural Dynamics-EURODYN, Florence, 583–589.SieniawskaR.SniadyP.ZukowskiS.1996Structural Dynamics-EURODYNFlorence583589Search in Google Scholar
Hua Y., Wong W., Cheng L., 2018. Optimal design of a beam-based dynamic vibration absorber using fixed-points theory, Journal of Sound and Vibration 421, 111–131.HuaY.WongW.ChengL.2018Optimal design of a beam-based dynamic vibration absorber using fixed-points theory42111113110.1016/j.jsv.2018.01.058Search in Google Scholar
Basili M., De Angelis M., Pietrosanti D., 2019. Defective two adjacent single degree of freedom systems linked by spring-dashpot-inerter for vibration control, Engineering Structures 188, 480–492.BasiliM.De AngelisM.PietrosantiD.2019Defective two adjacent single degree of freedom systems linked by spring-dashpot-inerter for vibration control18848049210.1016/j.engstruct.2019.03.030Search in Google Scholar
Zuo L., Nayfeh S. A., 2006. The two-degree-of-freedom tuned-mass damper for suppression of single-mode vibration under random and harmonic excitation, Journal of Vibration and Acoustics, Transections of the ASME, 128(2), 56–65.ZuoL.NayfehS. A.2006The two-degree-of-freedom tuned-mass damper for suppression of single-mode vibration under random and harmonic excitation1282566510.1115/1.2128639Search in Google Scholar
Barredo E., Larios J.G.M., Mayen J., Flores-Hernandez A.A., Colin J., 2019. Optimal design for high-performance passive dynamic vibration absorbers under random vibration, Engineering Structures, 195, 469–489.BarredoE.LariosJ.G.M.MayenJ.Flores-HernandezA.A.ColinJ.2019Optimal design for high-performance passive dynamic vibration absorbers under random vibration19546948910.1016/j.engstruct.2019.05.105Search in Google Scholar
Laurentiu M., Agathoklis G., 2014. Optimal design of novel tuned mass-damper-inerter (TMDI) passive vibration control configuration for stochastically support-excited structural systems, Probabilistic Engineering mechanics, 38, 156–164.LaurentiuM.AgathoklisG.2014Optimal design of novel tuned mass-damper-inerter (TMDI) passive vibration control configuration for stochastically support-excited structural systems3815616410.1016/j.probengmech.2014.03.007Search in Google Scholar
Jacquot R.G., 2001. Suppresion of random vibration in plates using vibration absorbers, Journal of Sound and Vibration, 248 (4), 585–596.JacquotR.G.2001Suppresion of random vibration in plates using vibration absorbers248458559610.1006/jsvi.2001.3558Search in Google Scholar
Shum K.M., 2015. Tuned vibration absorbers with nonlinear viscous damping for damped structures under random load, Journal of Sound and Vibrations, 346, 70–80.ShumK.M.2015Tuned vibration absorbers with nonlinear viscous damping for damped structures under random load346708010.1016/j.jsv.2015.02.003Search in Google Scholar
Javidialesaadi A., Wierschem N.E., 2018. Optimal design of rotational inertial double tuned mass dampers under random excitation, Engineering Structures, 165, 412–421.JavidialesaadiA.WierschemN.E.2018Optimal design of rotational inertial double tuned mass dampers under random excitation16541242110.1016/j.engstruct.2018.03.033Search in Google Scholar
Yang F., Sedaghati R., Esmailzadeh E., 2021. Vibration suppression of Structures using tuned mass damper technology: A state-of-the-art review, Journal of Vibration and Control, https://doi.org/10.1177/1077546320984305.YangF.SedaghatiR.EsmailzadehE.2021Vibration suppression of Structures using tuned mass damper technology: A state-of-the-art reviewhttps://doi.org/10.1177/1077546320984305.10.1177/1077546320984305Search in Google Scholar
Frahm H., 1911. Device for damping vibrations of bodies, United States Patent, 3576–3580.FrahmH.1911United States Patent, 3576–3580.Search in Google Scholar
Ormondroyd J., Den Hartog J.P., 1928. The theory of the dynamic vibration absorber, Transactions of ASME, Journal of Applied Mechanics 50 (7), 9–22.OrmondroydJ.Den HartogJ.P.1928The theory of the dynamic vibration absorber, Transactions of ASME507922Search in Google Scholar
Anh N. D., Nguyen N. X., Hoa L. T., 2013. Design of three-element dynamic vibration absorber for damped linear structures, Journal of Sound and Vibration 332, 4482–4495.AnhN. D.NguyenN. X.HoaL. T.2013Design of three-element dynamic vibration absorber for damped linear structures3324482449510.1016/j.jsv.2013.03.032Search in Google Scholar
Asami T., Nishihara O., Baz A.M., 2002. Analytical solutions to H∞ and H2 optimization of dynamic vibration absorbers attached to damped linear systems, Transactions of ASME Journal of Vibration and Acoustics;124(2), 284–295.AsamiT.NishiharaO.BazA.M.2002Analytical solutions to H∞ and H2 optimization of dynamic vibration absorbers attached to damped linear systems124228429510.1115/1.1456458Search in Google Scholar
Nishihara O., Asami T., 2002. Closed-form solutions to the exact optimizations of dynamic vibration absorbers (minimizations of the maximum amplitude magnification factors), Transactions of ASME Journal of Vibration and Acoustics 124(4), 576–582.NishiharaO.AsamiT.2002Closed-form solutions to the exact optimizations of dynamic vibration absorbers (minimizations of the maximum amplitude magnification factors)124457658210.1115/1.1500335Search in Google Scholar
Sims N. D., 2007. Vibration absorbers for chatter suppression: a new analytical tuning methodology, Journal of Sound and Vibration 301 (3), 592–607.SimsN. D.2007Vibration absorbers for chatter suppression: a new analytical tuning methodology301359260710.1016/j.jsv.2006.10.020Search in Google Scholar
Shen Y., Peng H., Li X., Yang S., 2017. Analytically optimal parameters of dynamic vibration absorber with negative stiffness, Mechanical Systems and Signal Processing 85, 193–203.ShenY.PengH.LiX.YangS.2017Analytically optimal parameters of dynamic vibration absorber with negative stiffness8519320310.1016/j.ymssp.2016.08.018Search in Google Scholar
Issa J. S., 2013. Vibration absorbers for simply supported beams subjected to constant moving loads. Proceedings of the Institution of Mechanical Engineers Part K Journal of Multi-body Dynamics 226(4):398–404.IssaJ. S.2013Vibration absorbers for simply supported beams subjected to constant moving loads226439840410.1177/1464419312450652Search in Google Scholar
Samani F. S., Pellicano F., Masoumi A., 2013. Performances of dynamic vibration absorbers for beams subjected to moving loads. Nonlinear Dynamics 72(1–2).SamaniF. S.PellicanoF.MasoumiA.2013Performances of dynamic vibration absorbers for beams subjected to moving loads721–210.1007/s11071-013-0853-4Search in Google Scholar
Crandall S.H. and Mark W.D., 1963. Random Vibration in Mechanical Systems. New York: Academic Press.CrandallS.H.MarkW.D.1963New YorkAcademic PressSearch in Google Scholar
Soong T.T., Grigoriu M., 1993. Random vibration of mechanical and structural systems, PTR Prentice-Hall, Inc.SoongT.T.GrigoriuM.1993PTR Prentice-Hall, IncSearch in Google Scholar
Lin Y.K., Cai G.Q., 1995. Probabilistic structural dynamics: Advanced theory and applications, McGraw-Hill.LinY.K.CaiG.Q.1995McGraw-HillSearch in Google Scholar
Solnes J., 1997. Stochastic processes and random vibrations, John Wiley & Sons.SolnesJ.1997John Wiley & SonsSearch in Google Scholar
Rystwej A., Śniady P., 2007. Dynamic response of an infinite beam and plate to a stochastic train of moving forces, Journal of Sound and Vibration, 299, 1033–1048.RystwejA.ŚniadyP.2007Dynamic response of an infinite beam and plate to a stochastic train of moving forces2991033104810.1016/j.jsv.2006.08.009Search in Google Scholar
Śniady P., 1989. Dynamic response of linear structures to a random stream of pulses, Journal of Sound and Vibration, 131, 1, 91–102.ŚniadyP.1989Dynamic response of linear structures to a random stream of pulses13119110210.1016/0022-460X(89)90825-0Search in Google Scholar
Śniady P., 2000. Fundamentals of stochastic structure dynamics (in Polish), Oficyna Wydawnicza Politechniki Wrocławskiej.ŚniadyP.2000Oficyna Wydawnicza Politechniki WrocławskiejSearch in Google Scholar
Podwórna M., Grosel J., Śniady P., 2021. Absorbers impact on the reliability of structures subjected to random vibrations, IOP Conference Series: Materials Science and Engineering 1015.PodwórnaM.GroselJ.ŚniadyP.2021IOP Conference Series: Materials Science and Engineering 101510.1088/1757-899X/1015/1/012003Search in Google Scholar
Warburton G.B., 1982. Optimum absorber parameters for various combinations of response and excitation parameters. Earthquake Engineering and Structural Dynamics 10, 381–401.WarburtonG.B.1982Optimum absorber parameters for various combinations of response and excitation parameters1038140110.1002/eqe.4290100304Search in Google Scholar