FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2105306392> ?p ?o ?g. }

• W2105306392 endingPage "1581" @default.
• W2105306392 startingPage "1547" @default.
• W2105306392 abstract "Restricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Vyas Ashwin, Bajaj Anil K. and Raman Arvind 2004Dynamics of structures with wideband autoparametric vibration absorbers: theoryProc. R. Soc. Lond. A.4601547–1581http://doi.org/10.1098/rspa.2003.1204SectionRestricted accessDynamics of structures with wideband autoparametric vibration absorbers: theory Ashwin Vyas Ashwin Vyas School of Mechanical Engineering, 585 Purdue Mall, Purdue University, West Lafayette, IN 47907-2088, USA () Google Scholar Find this author on PubMed Search for more papers by this author , Anil K. Bajaj Anil K. Bajaj School of Mechanical Engineering, 585 Purdue Mall, Purdue University, West Lafayette, IN 47907-2088, USA () Google Scholar Find this author on PubMed Search for more papers by this author and Arvind Raman Arvind Raman School of Mechanical Engineering, 585 Purdue Mall, Purdue University, West Lafayette, IN 47907-2088, USA () Google Scholar Find this author on PubMed Search for more papers by this author Ashwin Vyas Ashwin Vyas School of Mechanical Engineering, 585 Purdue Mall, Purdue University, West Lafayette, IN 47907-2088, USA () Google Scholar Find this author on PubMed Search for more papers by this author , Anil K. Bajaj Anil K. Bajaj School of Mechanical Engineering, 585 Purdue Mall, Purdue University, West Lafayette, IN 47907-2088, USA () Google Scholar Find this author on PubMed Search for more papers by this author and Arvind Raman Arvind Raman School of Mechanical Engineering, 585 Purdue Mall, Purdue University, West Lafayette, IN 47907-2088, USA () Google Scholar Find this author on PubMed Search for more papers by this author Published:08 June 2004https://doi.org/10.1098/rspa.2003.1204AbstractThis article analyses the dynamics of a resonantly excited single–degree–of–freedom linear system coupled to an array of nonlinear autoparametric vibration absorbers (pendulums). Each pendulum is also coupled to the neighbouring pendulums by linear elastic springs. The case of a 1:1:…:2 internal resonance between pendulums and the primary oscillator is studied for stationary (harmonic) and non–stationary (slow frequency sweep) excitations. The method of averaging is used to obtain amplitude equations that determine the first–order approximation to the nonlinear response of the system. The amplitude equations are analysed for their equilibrium as well as non–stationary solutions as a function of the parameters associated with the absorber pendulums. For stationary excitation, most steady–state solutions correspond to modes in which only one pendulum and the primary system execute coupled motions. Conditions for the existence of manifolds of equilibria are revealed when the averaged equations are expressed in modal coordinates. In the non–stationary case with linear frequency sweep through the primary resonance region, delays through pitchforks, smooth but rapid transitions through jumps, and transitions from one stable coupled–mode branch to another are studied using numerical simulations of the amplitude equations. The array of autoparametric pendulums is shown to effectively attenuate the large–amplitude resonant response of structures over a wide band of excitation frequencies. Next Article VIEW FULL TEXT DOWNLOAD PDF FiguresRelatedReferencesDetailsCited by Shami Z, Giraud-Audine C and Thomas O (2022) A nonlinear piezoelectric shunt absorber with a 2:1 internal resonance: Theory, Mechanical Systems and Signal Processing, 10.1016/j.ymssp.2021.108768, 170, (108768), Online publication date: 1-May-2022. Tan T, Wang Z, Zhang L, Liao W and Yan Z (2021) Piezoelectric autoparametric vibration energy harvesting with chaos control feature, Mechanical Systems and Signal Processing, 10.1016/j.ymssp.2021.107989, 161, (107989), Online publication date: 1-Dec-2021. Mahmoudkhani S and Soleymani Meymand H (2019) Effects of nonlinear interactions of flexural modes on the performance of a beam autoparametric vibration absorber, Journal of Vibration and Control, 10.1177/1077546319889839, 26:7-8, (459-474), Online publication date: 1-Apr-2020. Mahmoudkhani S (2017) Dynamics of a mass–spring–beam with 0:1:1 internal resonance using the analytical and continuation method, International Journal of Non-Linear Mechanics, 10.1016/j.ijnonlinmec.2017.08.009, 97, (48-67), Online publication date: 1-Dec-2017. Yan Z and Hajj M (2016) Nonlinear performances of an autoparametric vibration-based piezoelastic energy harvester, Journal of Intelligent Material Systems and Structures, 10.1177/1045389X16649450, 28:2, (254-271), Online publication date: 1-Jan-2017. Yan Z and Hajj M (2015) Energy harvesting from an autoparametric vibration absorber, Smart Materials and Structures, 10.1088/0964-1726/24/11/115012, 24:11, (115012), Online publication date: 1-Nov-2015. Brzeski P, Perlikowski P and Kapitaniak T (2014) Numerical optimization of tuned mass absorbers attached to strongly nonlinear Duffing oscillator, Communications in Nonlinear Science and Numerical Simulation, 10.1016/j.cnsns.2013.06.001, 19:1, (298-310), Online publication date: 1-Jan-2014. Cartmell M, Kovacic I and Zukovic M (2012) Autoparametric interaction in a double pendulum system, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 10.1177/0954406212441748, 226:8, (1971-1986), Online publication date: 1-Aug-2012. Jo H and Yabuno H (2010) Amplitude reduction of parametric resonance by dynamic vibration absorber based on quadratic nonlinear coupling, Journal of Sound and Vibration, 10.1016/j.jsv.2010.01.006, 329:11, (2205-2217), Online publication date: 1-May-2010. Jo H and Yabuno H (2009) Stabilization of a 1/3-order subharmonic resonance using nonlinear dynamic vibration absorber, Nonlinear Dynamics, 10.1007/s11071-009-9574-0, 59:4, (747-758), Online publication date: 1-Mar-2010. Jo H and Yabuno H (2008) Amplitude reduction of primary resonance of nonlinear oscillator by a dynamic vibration absorber using nonlinear coupling, Nonlinear Dynamics, 10.1007/s11071-008-9345-3, 55:1-2, (67-78), Online publication date: 1-Jan-2009. Kerschen G, Kowtko J, Mcfarland D, Bergman L and Vakakis A (2006) Theoretical and Experimental Study of Multimodal Targeted Energy Transfer in a System of Coupled Oscillators, Nonlinear Dynamics, 10.1007/s11071-006-9073-5, 47:1-3, (285-309), Online publication date: 29-Dec-2006. Vyas A and Bajaj A (2005) Global Dynamics of an Autoparametric System With Multiple Pendulums, Journal of Computational and Nonlinear Dynamics, 10.1115/1.1994879, 1:1, (35-46), Online publication date: 1-Jan-2006. Bajaj A, Vyas A and Raman A (2005) Explorations into the Nonlinear Dynamics of a Single DOF System Coupled to a Wideband Auto-Parametric Vibration Absorber IUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mechanics, 10.1007/1-4020-3268-4_2, (17-26), . This Issue08 June 2004Volume 460Issue 2046 Article InformationDOI:https://doi.org/10.1098/rspa.2003.1204Published by:Royal SocietyPrint ISSN:1364-5021Online ISSN:1471-2946History: Published online08/06/2004Published in print08/06/2004 License: Citations and impact Keywordsvibration absorberinternal resonancesautoparametric system" @default.
• W2105306392 created "2016-06-24" @default.
• W2105306392 creator A5010907041 @default.
• W2105306392 creator A5014467237 @default.
• W2105306392 creator A5090925344 @default.
• W2105306392 date "2004-06-08" @default.
• W2105306392 modified "2023-10-14" @default.
• W2105306392 title "Dynamics of structures with wideband autoparametric vibration absorbers: theory" @default.
• W2105306392 cites W1608234917 @default.
• W2105306392 cites W1968330857 @default.
• W2105306392 cites W1969370504 @default.
• W2105306392 cites W1977552145 @default.
• W2105306392 cites W1979576633 @default.
• W2105306392 cites W2004486311 @default.
• W2105306392 cites W2028769808 @default.
• W2105306392 cites W2031791402 @default.
• W2105306392 cites W2038037005 @default.
• W2105306392 cites W2042490681 @default.
• W2105306392 cites W2052435304 @default.
• W2105306392 cites W2056345141 @default.
• W2105306392 cites W2059231075 @default.
• W2105306392 cites W2060428235 @default.
• W2105306392 cites W2062368707 @default.
• W2105306392 cites W2063535000 @default.
• W2105306392 cites W2080150756 @default.
• W2105306392 cites W2089642283 @default.
• W2105306392 cites W2095214403 @default.
• W2105306392 cites W2098813083 @default.
• W2105306392 cites W2170318773 @default.
• W2105306392 cites W4231409469 @default.
• W2105306392 cites W4247777889 @default.
• W2105306392 cites W4294967943 @default.
• W2105306392 cites W93338769 @default.
• W2105306392 doi "https://doi.org/10.1098/rspa.2003.1204" @default.
• W2105306392 hasPublicationYear "2004" @default.
• W2105306392 type Work @default.
• W2105306392 sameAs 2105306392 @default.
• W2105306392 citedByCount "16" @default.
• W2105306392 countsByYear W21053063922012 @default.
• W2105306392 countsByYear W21053063922014 @default.
• W2105306392 countsByYear W21053063922015 @default.
• W2105306392 countsByYear W21053063922016 @default.
• W2105306392 countsByYear W21053063922017 @default.
• W2105306392 countsByYear W21053063922019 @default.
• W2105306392 countsByYear W21053063922020 @default.
• W2105306392 countsByYear W21053063922021 @default.
• W2105306392 countsByYear W21053063922022 @default.
• W2105306392 countsByYear W21053063922023 @default.
• W2105306392 crossrefType "journal-article" @default.
• W2105306392 hasAuthorship W2105306392A5010907041 @default.
• W2105306392 hasAuthorship W2105306392A5014467237 @default.
• W2105306392 hasAuthorship W2105306392A5090925344 @default.
• W2105306392 hasConcept C127413603 @default.
• W2105306392 hasConceptScore W2105306392C127413603 @default.
• W2105306392 hasIssue "2046" @default.
• W2105306392 hasLocation W21053063921 @default.
• W2105306392 hasOpenAccess W2105306392 @default.
• W2105306392 hasPrimaryLocation W21053063921 @default.
• W2105306392 hasRelatedWork W1527782470 @default.
• W2105306392 hasRelatedWork W1697165487 @default.
• W2105306392 hasRelatedWork W2113150855 @default.
• W2105306392 hasRelatedWork W2351438490 @default.
• W2105306392 hasRelatedWork W2366365402 @default.
• W2105306392 hasRelatedWork W2370093201 @default.
• W2105306392 hasRelatedWork W2375453827 @default.
• W2105306392 hasRelatedWork W2391645169 @default.
• W2105306392 hasRelatedWork W2760158997 @default.
• W2105306392 hasRelatedWork W2899084033 @default.
• W2105306392 hasVolume "460" @default.
• W2105306392 isParatext "false" @default.
• W2105306392 isRetracted "false" @default.
• W2105306392 magId "2105306392" @default.
• W2105306392 workType "article" @default.