{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,16]],"date-time":"2026-07-16T13:57:57Z","timestamp":1784210277394,"version":"3.55.0"},"reference-count":41,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2021,3,15]],"date-time":"2021-03-15T00:00:00Z","timestamp":1615766400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2021,3,15]],"date-time":"2021-03-15T00:00:00Z","timestamp":1615766400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Sci. China Inf. Sci."],"published-print":{"date-parts":[[2021,5]]},"DOI":"10.1007\/s11432-019-2822-3","type":"journal-article","created":{"date-parts":[[2021,3,19]],"date-time":"2021-03-19T19:02:51Z","timestamp":1616180571000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":27,"title":["Stability analysis of a pipe conveying fluid with a nonlinear energy sink"],"prefix":"10.1007","volume":"64","author":[{"given":"Nan","family":"Duan","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sida","family":"Lin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuhu","family":"Wu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xi-Ming","family":"Sun","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Chongquan","family":"Zhong","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2021,3,15]]},"reference":[{"key":"2822_CR1","doi-asserted-by":"publisher","first-page":"457","DOI":"10.1098\/rspa.1961.0090","volume":"261","author":"T B Benjamin","year":"1961","unstructured":"Benjamin T B. Dynamics of a system of articulated pipes conveying fluid. I. theory. Proc R Soc Lond A, 1961, 261: 457\u2013486","journal-title":"Proc R Soc Lond A"},{"key":"2822_CR2","doi-asserted-by":"publisher","first-page":"512","DOI":"10.1098\/rspa.1966.0187","volume":"293","author":"R Gregory","year":"1966","unstructured":"Gregory R, Pa\u00efdoussis M. Unstable oscillation of tubular cantilevers conveying fluid. I. theory. Proc R Soc Lond A, 1966, 293: 512\u2013527","journal-title":"Proc R Soc Lond A"},{"key":"2822_CR3","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1016\/S0022-460X(74)80002-7","volume":"33","author":"M P Pa\u00efdoussis","year":"1974","unstructured":"Pa\u00efdoussis M P, Issid N T. Dynamic stability of pipes conveying fluid. J Sound Vib, 1974, 33: 267\u2013294","journal-title":"J Sound Vib"},{"key":"2822_CR4","volume-title":"Fluid-Structure Interactions. Volume 2: Slender Structures and Axial Flow","author":"M P Pa\u00efdoussis","year":"2004","unstructured":"Pa\u00efdoussis M P. Fluid-Structure Interactions. Volume 2: Slender Structures and Axial Flow. Pittsburgh: Academic Press, 2004"},{"key":"2822_CR5","doi-asserted-by":"publisher","first-page":"629","DOI":"10.1016\/j.jfluidstructs.2005.07.019","volume":"21","author":"R J McDonald","year":"2005","unstructured":"McDonald R J, Namachchivaya N S. Pipes conveying pulsating fluid near a 0:1 resonance: local bifurcations. J Fluids Struct, 2005, 21: 629\u2013664","journal-title":"J Fluids Struct"},{"key":"2822_CR6","doi-asserted-by":"publisher","first-page":"665","DOI":"10.1016\/j.jfluidstructs.2005.07.015","volume":"21","author":"R J McDonald","year":"2005","unstructured":"McDonald R J, Namachchivaya N S. Pipes conveying pulsating fluid near a 0:1 resonance: global bifurcations. J Fluids Struct, 2005, 21: 665\u2013687","journal-title":"J Fluids Struct"},{"key":"2822_CR7","doi-asserted-by":"publisher","first-page":"441","DOI":"10.1016\/j.ast.2017.05.027","volume":"68","author":"Y F Zhang","year":"2017","unstructured":"Zhang Y F, Yao M H, Zhang W, et al. Dynamical modeling and multi-pulse chaotic dynamics of cantilevered pipe conveying pulsating fluid in parametric resonance. Aerospace Sci Tech, 2017, 68: 441\u2013453","journal-title":"Aerospace Sci Tech"},{"key":"2822_CR8","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1007\/s11071-006-9100-6","volume":"49","author":"L Panda","year":"2007","unstructured":"Panda L, Kar R. Nonlinear dynamics of a pipe conveying pulsating fluid with parametric and internal resonances. Nonlin Dyn, 2007, 49: 9\u201330","journal-title":"Nonlin Dyn"},{"key":"2822_CR9","doi-asserted-by":"publisher","first-page":"1850076","DOI":"10.1142\/S175882511850076X","volume":"10","author":"F Liang","year":"2018","unstructured":"Liang F, Yang X D, Zhang W, et al. Nonlinear free vibration of spinning viscoelastic pipes conveying fluid. Int J Appl Mech, 2018, 10: 1850076","journal-title":"Int J Appl Mech"},{"key":"2822_CR10","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1016\/B978-0-12-408083-6.00010-6","volume-title":"Seismic Safety Evaluation of Concrete Dams","author":"C Guo","year":"2013","unstructured":"Guo C, Zhang C, Pa\u00efdoussis M. Modification of equation of motion of fluid-conveying pipe for laminar and turbulent flow profiles. In: Seismic Safety Evaluation of Concrete Dams. Oxford: Butterworth-Heinemann, 2013. 221\u2013237"},{"key":"2822_CR11","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1016\/j.jfluidstructs.2019.04.002","volume":"87","author":"F Liang","year":"2019","unstructured":"Liang F, Yang X D, Zhang W, et al. Vibrations in 3D space of a spinning supported pipe exposed to internal and external annular flows. J Fluids Struct, 2019, 87: 247\u2013262","journal-title":"J Fluids Struct"},{"key":"2822_CR12","doi-asserted-by":"publisher","first-page":"94","DOI":"10.1109\/87.370714","volume":"3","author":"A Alleyne","year":"1995","unstructured":"Alleyne A, Hedrick J K. Nonlinear adaptive control of active suspensions. IEEE Trans Contr Syst Technol, 1995, 3: 94\u2013101","journal-title":"IEEE Trans Contr Syst Technol"},{"key":"2822_CR13","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1016\/j.jsv.2008.04.009","volume":"318","author":"D Yu","year":"2008","unstructured":"Yu D, Wen J, Zhao H, et al. Vibration reduction by using the idea of phononic crystals in a pipe-conveying fluid. J Sound Vib, 2008, 318: 193\u2013205","journal-title":"J Sound Vib"},{"key":"2822_CR14","doi-asserted-by":"publisher","first-page":"615","DOI":"10.1006\/jfls.1997.0154","volume":"12","author":"H Doki","year":"1998","unstructured":"Doki H, Hiramoto K, Skelton R E. Active control of cantilevered pipes conveying fluid with constraints on input energy. J Fluids Struct, 1998, 12: 615\u2013628","journal-title":"J Fluids Struct"},{"key":"2822_CR15","doi-asserted-by":"publisher","first-page":"1915","DOI":"10.1016\/j.automatica.2014.05.006","volume":"50","author":"Y Wu","year":"2014","unstructured":"Wu Y, Xue X, Shen T. Absolute stability of the Kirchhoff string with sector boundary control. Automatica, 2014, 50: 1915\u20131921","journal-title":"Automatica"},{"key":"2822_CR16","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1006\/jfls.1995.1005","volume":"9","author":"C H Yau","year":"1995","unstructured":"Yau C H, Bajaj A K, Nwokah O D I. Active control of chaotic vibration in a constrained flexible pipe conveying fluid. J Fluids Struct, 1995, 9: 99\u2013122","journal-title":"J Fluids Struct"},{"key":"2822_CR17","doi-asserted-by":"publisher","first-page":"032204","DOI":"10.1007\/s11432-012-4765-6","volume":"57","author":"Y Gao","year":"2014","unstructured":"Gao Y, Wu H N, Wang J W, et al. Feedback control design with vibration suppression for flexible air-breathing hypersonic vehicles. Sci China Inf Sci, 2014, 57: 032204","journal-title":"Sci China Inf Sci"},{"key":"2822_CR18","doi-asserted-by":"publisher","first-page":"059201","DOI":"10.1007\/s11432-018-9675-1","volume":"62","author":"Y Yu","year":"2019","unstructured":"Yu Y, Hu J P, Zeng Y. On computer virus spreading using node-based model with time-delayed intervention strategies. Sci China Inf Sci, 2019, 62: 059201","journal-title":"Sci China Inf Sci"},{"key":"2822_CR19","doi-asserted-by":"publisher","first-page":"012204","DOI":"10.1007\/s11432-017-9302-9","volume":"62","author":"M L Li","year":"2019","unstructured":"Li M L, Deng F Q, Mao X R. Basic theory and stability analysis for neutral stochastic functional differential equations with pure jumps. Sci China Inf Sci, 2019, 62: 012204","journal-title":"Sci China Inf Sci"},{"key":"2822_CR20","doi-asserted-by":"publisher","first-page":"371","DOI":"10.1016\/j.jsv.2008.01.014","volume":"314","author":"R A Ibrahim","year":"2008","unstructured":"Ibrahim R A. Recent advances in nonlinear passive vibration isolators. J Sound Vib, 2008, 314: 371\u2013452","journal-title":"J Sound Vib"},{"key":"2822_CR21","doi-asserted-by":"publisher","first-page":"041002","DOI":"10.1115\/1.2890402","volume":"130","author":"A Erturk","year":"2008","unstructured":"Erturk A, Inman D J. A distributed parameter electromechanical model for cantilevered piezoelectric energy harvesters. J Vib Acoust, 2008, 130: 041002","journal-title":"J Vib Acoust"},{"key":"2822_CR22","doi-asserted-by":"publisher","first-page":"041011","DOI":"10.1115\/1.4006920","volume":"7","author":"G de Pasquale","year":"2012","unstructured":"de Pasquale G, Som\u00e1 A, Zampieri N. Design, simulation, and testing of energy harvesters with magnetic suspensions for the generation of electricity from freight train vibrations. J Comput Nonlin Dyn, 2012, 7: 041011","journal-title":"J Comput Nonlin Dyn"},{"key":"2822_CR23","doi-asserted-by":"publisher","first-page":"1648","DOI":"10.1109\/TAC.2002.803532","volume":"47","author":"M C Smith","year":"2002","unstructured":"Smith M C. Synthesis of mechanical networks: the inerter. IEEE Trans Automat Contr, 2002, 47: 1648\u20131662","journal-title":"IEEE Trans Automat Contr"},{"key":"2822_CR24","doi-asserted-by":"publisher","first-page":"325","DOI":"10.1007\/s11071-018-4058-8","volume":"92","author":"H Ding","year":"2018","unstructured":"Ding H, Zhu M H, Chen L Q. Nonlinear vibration isolation of a viscoelastic beam. Nonlin Dyn, 2018, 92: 325\u2013349","journal-title":"Nonlin Dyn"},{"key":"2822_CR25","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1115\/1.1345524","volume":"68","author":"O Gendelman","year":"2001","unstructured":"Gendelman O, Manevitch L I, Vakakis A F, et al. Energy pumping in nonlinear mechanical oscillators: part I-dynamics of the underlying hamiltonian systems. J Appl Mech, 2001, 68: 34\u201341","journal-title":"J Appl Mech"},{"key":"2822_CR26","doi-asserted-by":"publisher","first-page":"42","DOI":"10.1115\/1.1345525","volume":"68","author":"A F Vakakis","year":"2001","unstructured":"Vakakis A F, Gendelman O. Energy pumping in nonlinear mechanical oscillators: part II-resonance capture. J Appl Mech, 2001, 68: 42\u201348","journal-title":"J Appl Mech"},{"key":"2822_CR27","doi-asserted-by":"publisher","first-page":"285","DOI":"10.1007\/s11071-006-9073-5","volume":"47","author":"G Kerschen","year":"2006","unstructured":"Kerschen G, Kowtko J J, Mcfarland D M, et al. Theoretical and experimental study of multimodal targeted energy transfer in a system of coupled oscillators. Nonlin Dyn, 2006, 47: 285\u2013309","journal-title":"Nonlin Dyn"},{"key":"2822_CR28","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.jsv.2010.08.014","volume":"330","author":"O V Gendelman","year":"2011","unstructured":"Gendelman O V, Sapsis T, Vakakis A F, et al. Enhanced passive targeted energy transfer in strongly nonlinear mechanical oscillators. J Sound Vib, 2011, 330: 1\u20138","journal-title":"J Sound Vib"},{"key":"2822_CR29","doi-asserted-by":"publisher","first-page":"1918","DOI":"10.2514\/1.C001012","volume":"47","author":"S A Hubbard","year":"2010","unstructured":"Hubbard S A, McFarland D M, Bergman L A, et al. Targeted energy transfer between a model flexible wing and nonlinear energy sink. J Aircraft, 2010, 47: 1918\u20131931","journal-title":"J Aircraft"},{"key":"2822_CR30","doi-asserted-by":"publisher","first-page":"2330","DOI":"10.1016\/j.ijsolstr.2009.01.020","volume":"46","author":"F Georgiades","year":"2009","unstructured":"Georgiades F, Vakakis A F. Passive targeted energy transfers and strong modal interactions in the dynamics of a thin plate with strongly nonlinear attachments. Int J Solids Struct, 2009, 46: 2330\u20132353","journal-title":"Int J Solids Struct"},{"key":"2822_CR31","doi-asserted-by":"publisher","first-page":"1483","DOI":"10.1007\/s11431-018-9468-8","volume":"62","author":"Y W Zhang","year":"2019","unstructured":"Zhang Y W, Lu Y N, Chen L Q. Energy harvesting via nonlinear energy sink for whole-spacecraft. Sci China Technol Sci, 2019, 62: 1483\u20131491","journal-title":"Sci China Technol Sci"},{"key":"2822_CR32","doi-asserted-by":"publisher","first-page":"643","DOI":"10.1016\/j.cnsns.2005.07.003","volume":"12","author":"F Georgiades","year":"2007","unstructured":"Georgiades F, Vakakis A F. Dynamics of a linear beam with an attached local nonlinear energy sink. Commun Nonlin Sci Numer Simul, 2007, 12: 643\u2013651","journal-title":"Commun Nonlin Sci Numer Simul"},{"key":"2822_CR33","doi-asserted-by":"publisher","first-page":"6256","DOI":"10.1016\/j.ijsolstr.2007.02.025","volume":"44","author":"P Panagopoulos","year":"2007","unstructured":"Panagopoulos P, Georgiades F, Tsakirtzis S, et al. Multi-scaled analysis of the damped dynamics of an elastic rod with an essentially nonlinear end attachment. Int J Solids Struct, 2007, 44: 6256\u20136278","journal-title":"Int J Solids Struct"},{"key":"2822_CR34","doi-asserted-by":"publisher","first-page":"148","DOI":"10.1016\/j.ymssp.2007.07.001","volume":"23","author":"R Vigui\u00e9","year":"2009","unstructured":"Vigui\u00e9 R, Kerschen G, Golinval J C, et al. Using passive nonlinear targeted energy transfer to stabilize drill-string systems. Mech Syst Signal Process, 2009, 23: 148\u2013169","journal-title":"Mech Syst Signal Process"},{"key":"2822_CR35","doi-asserted-by":"publisher","first-page":"1293","DOI":"10.1177\/1077546313480547","volume":"20","author":"T Z Yang","year":"2014","unstructured":"Yang T Z, Yang X D, Li Y, et al. Passive and adaptive vibration suppression of pipes conveying fluid with variable velocity. J Vib Control, 2014, 20: 1293\u20131300","journal-title":"J Vib Control"},{"key":"2822_CR36","doi-asserted-by":"publisher","first-page":"763","DOI":"10.1016\/j.jfluidstructs.2005.04.007","volume":"20","author":"J D Jin","year":"2005","unstructured":"Jin J D, Song Z Y. Parametric resonances of supported pipes conveying pulsating fluid. J Fluids Struct, 2005, 20: 763\u2013783 37","journal-title":"J Fluids Struct"},{"key":"2822_CR37","doi-asserted-by":"publisher","first-page":"360","DOI":"10.1016\/j.jfluidstructs.2013.11.023","volume":"49","author":"M Kheiri","year":"2014","unstructured":"Kheiri M, Pa\u00efdoussis M P, Pozo G C D, et al. Dynamics of a pipe conveying fluid flexibly restrained at the ends. J Fluids Struct, 2014, 49: 360\u2013385","journal-title":"J Fluids Struct"},{"key":"2822_CR38","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1016\/j.jsv.2017.12.005","volume":"417","author":"F Liang","year":"2018","unstructured":"Liang F, Yang X D, Zhang W, et al. Dynamical modeling and free vibration analysis of spinning pipes conveying fluid with axial deployment. J Sound Vib, 2018, 417: 65\u201379","journal-title":"J Sound Vib"},{"key":"2822_CR39","doi-asserted-by":"publisher","first-page":"619","DOI":"10.1115\/1.3424371","volume":"45","author":"P J Holmes","year":"1978","unstructured":"Holmes P J. Pipes supported at both ends cannot flutter. J Appl Mech, 1978, 45: 619\u2013622","journal-title":"J Appl Mech"},{"key":"2822_CR40","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1007\/s11071-015-2138-6","volume":"82","author":"Y W Zhang","year":"2015","unstructured":"Zhang Y W, Zhang Z, Chen L Q, et al. Impulse-induced vibration suppression of an axially moving beam with parallel nonlinear energy sinks. Nonlin Dyn, 2015, 82: 61\u201371","journal-title":"Nonlin Dyn"},{"key":"2822_CR41","volume-title":"Convex Analysis","author":"R T Rockafellar","year":"2015","unstructured":"Rockafellar R T. Convex Analysis. Princeton: Princeton University Press, 2015"}],"container-title":["Science China Information Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11432-019-2822-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11432-019-2822-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11432-019-2822-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,30]],"date-time":"2023-01-30T05:09:48Z","timestamp":1675055388000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11432-019-2822-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,3,15]]},"references-count":41,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2021,5]]}},"alternative-id":["2822"],"URL":"https:\/\/doi.org\/10.1007\/s11432-019-2822-3","relation":{},"ISSN":["1674-733X","1869-1919"],"issn-type":[{"value":"1674-733X","type":"print"},{"value":"1869-1919","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,3,15]]},"assertion":[{"value":"27 September 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 December 2019","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 February 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 March 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"152201"}}