{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T06:00:17Z","timestamp":1740117617817,"version":"3.37.3"},"reference-count":17,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2012,2,1]],"date-time":"2012-02-01T00:00:00Z","timestamp":1328054400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["ECCS-0722750"],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of the Franklin Institute"],"published-print":{"date-parts":[[2012,2]]},"DOI":"10.1016\/j.jfranklin.2011.10.004","type":"journal-article","created":{"date-parts":[[2011,10,29]],"date-time":"2011-10-29T00:37:26Z","timestamp":1319848646000},"page":"59-73","source":"Crossref","is-referenced-by-count":2,"title":["The transonic dip in aeroelastic divergence speed\u2014An explicit formula"],"prefix":"10.1016","volume":"349","author":[{"given":"A.V.","family":"Balakrishnan","sequence":"first","affiliation":[]},{"given":"A.","family":"Tuffaha","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"issue":"5","key":"10.1016\/j.jfranklin.2011.10.004_bib1","doi-asserted-by":"crossref","first-page":"1081","DOI":"10.2514\/1.5101","article-title":"Transonic small disturbance potential equation","volume":"42","author":"Balakrishnan","year":"2004","journal-title":"AIAA Journal"},{"issue":"6","key":"10.1016\/j.jfranklin.2011.10.004_bib2","doi-asserted-by":"crossref","first-page":"2070","DOI":"10.2514\/1.28686","article-title":"Bending torsion divergence of a clamped\u2013clamped composite wing","volume":"44","author":"Hodges","year":"2007","journal-title":"Journal of Aircraft"},{"issue":"4","key":"10.1016\/j.jfranklin.2011.10.004_bib3","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1061\/(ASCE)0893-1321(2003)16:4(139)","article-title":"Possio integral equation of aeroelasticity theory","volume":"16","author":"Balakrishnan","year":"2003","journal-title":"Journal of Aerospace Engineering"},{"issue":"3","key":"10.1016\/j.jfranklin.2011.10.004_bib4","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1061\/(ASCE)0893-1321(2007)20:3(152)","article-title":"A continuum aeroelastic model for inviscid subsonic wing flutter","volume":"20","author":"Balakrishnan","year":"2007","journal-title":"Journal of Aerospace Engineering"},{"issue":"2\u20133","key":"10.1016\/j.jfranklin.2011.10.004_bib5","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/S0016-0032(00)00088-0","article-title":"Subsonic flutter suppression using self straining actuators","volume":"338","author":"Balakrishnan","year":"2001","journal-title":"Journal of the Franklin Institute"},{"issue":"1","key":"10.1016\/j.jfranklin.2011.10.004_bib6","doi-asserted-by":"crossref","first-page":"177","DOI":"10.2514\/1.30020","article-title":"NonLinear aeroelasticity: the steady state theory","volume":"46","author":"Balakrishnan","year":"2008","journal-title":"AIAA Journal"},{"issue":"1","key":"10.1016\/j.jfranklin.2011.10.004_bib7","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.jfranklin.2009.10.003","article-title":"State space representation of flexible structure dynamics in air flow","volume":"347","author":"Balakrishnan","year":"2010","journal-title":"Journal of the Franklin Institute"},{"key":"10.1016\/j.jfranklin.2011.10.004_bib8","doi-asserted-by":"crossref","unstructured":"O. Bendiksen, Transonic Limit Cycle Flutter\/LCO, in: Proceedings of the 45th AIAA\/ASME\/ ASCE\/AHS\/ASC Structures, Structural Dynamics, and Materials Conference, Palm Springs, CA, April 19\u201322, 2004, AIAA Paper 2004-1694.","DOI":"10.2514\/6.2004-1694"},{"year":"2002","series-title":"Introduction to Structural Dynamics and Aeroelasticity","author":"Hodges","key":"10.1016\/j.jfranklin.2011.10.004_bib9"},{"year":"1986","series-title":"Transonic Aerodynamics","author":"Cole","key":"10.1016\/j.jfranklin.2011.10.004_bib10"},{"issue":"7","key":"10.1016\/j.jfranklin.2011.10.004_bib11","doi-asserted-by":"crossref","first-page":"1231","DOI":"10.1016\/S0016-0032(97)00069-0","article-title":"Elastic plate in gas flow: reducing from anisotropy to orthotropy","volume":"335","author":"Klaychko","year":"1998","journal-title":"Journal of the Franklin Institute"},{"year":"1976","series-title":"Foundations of Aerodynamics","author":"Koethe","key":"10.1016\/j.jfranklin.2011.10.004_bib12"},{"year":"1992","series-title":"One dimensional Linear Singular Equations","author":"Gohberg","key":"10.1016\/j.jfranklin.2011.10.004_bib13"},{"issue":"1","key":"10.1016\/j.jfranklin.2011.10.004_bib14","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/j.jfranklin.2009.02.006","article-title":"A novel technique for optimal placement of piezoelectric actuators on smart structures","volume":"348","author":"Mehrebian","year":"2011","journal-title":"Journal of the Franklin Institute"},{"key":"10.1016\/j.jfranklin.2011.10.004_bib15","series-title":"Transonic Shock Multidimensional Flow and Advances in Scientific Computing","article-title":"Towards a closer cooperation between theoretical and numerical analysis in gas dynamics","author":"Moretti","year":"1982"},{"issue":"2\u20133","key":"10.1016\/j.jfranklin.2011.10.004_bib16","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1016\/S0016-0032(00)00076-4","article-title":"Asymptotics of aeroelastic modes and basic properties of mode shapes for aircraft wing models","volume":"338","author":"Shubov","year":"2001","journal-title":"Journal of the Franklin Institute"},{"key":"10.1016\/j.jfranklin.2011.10.004_bib17","unstructured":"S. Schulze, Transonic Aeroelastic Simulation of a Flexible Wing Section, AGARD Report 822, March 1998."}],"container-title":["Journal of the Franklin Institute"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0016003211002754?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0016003211002754?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2021,4,3]],"date-time":"2021-04-03T15:42:49Z","timestamp":1617464569000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0016003211002754"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,2]]},"references-count":17,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,2]]}},"alternative-id":["S0016003211002754"],"URL":"https:\/\/doi.org\/10.1016\/j.jfranklin.2011.10.004","relation":{},"ISSN":["0016-0032"],"issn-type":[{"type":"print","value":"0016-0032"}],"subject":[],"published":{"date-parts":[[2012,2]]}}}