{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T20:31:43Z","timestamp":1723235503620},"reference-count":24,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2006,2]]},"abstract":" In this paper, the nonlinear oscillations and chaotic dynamics of a parametrically excited simply supported symmetric cross-ply laminated composite rectangular thin plate are further investigated. Considering geometric nonlinearity and nonlinear damping, a two-degree-of-freedom nonlinear system under parametric excitation is obtained to give the nonlinear governing equations of motion for laminated composite plate subjected to in-plane load. The method of multiple scales is utilized to obtain the averaged equations that are numerically solved to obtain the steady bifurcation responses and analysis of stability for laminated composite thin plate. It is illustrated that under certain conditions laminated composite thin plate may have the multiple steady bifurcation solutions and jumping may occur. The chaotic motion of rectangular symmetric cross-ply laminated composite thin plate is also found by using numerical simulation. It is found that the occurrence of the periodic, quasi-periodic and chaotic motions for a parametrically excited four-edges simply supported rectangular symmetric cross-ply laminated composite thin plate depends on the parametric excitation. <\/jats:p>","DOI":"10.1142\/s0218127406014836","type":"journal-article","created":{"date-parts":[[2006,4,10]],"date-time":"2006-04-10T11:53:16Z","timestamp":1144669996000},"page":"325-347","source":"Crossref","is-referenced-by-count":43,"title":["FURTHER STUDIES ON NONLINEAR OSCILLATIONS AND CHAOS OF A SYMMETRIC CROSS-PLY LAMINATED THIN PLATE UNDER PARAMETRIC EXCITATION"],"prefix":"10.1142","volume":"16","author":[{"given":"WEI","family":"ZHANG","sequence":"first","affiliation":[{"name":"College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, P. R. China"}]},{"given":"CHUNZHI","family":"SONG","sequence":"additional","affiliation":[{"name":"College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, P. R. China"}]},{"given":"MIN","family":"YE","sequence":"additional","affiliation":[{"name":"Department of Mechanics, Zhejiang University, Hangzhou 310027, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-7462(97)00043-7"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1020362725706"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.1993.1133"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.1996.0177"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/BF00053690"},{"key":"rf6","volume-title":"Non-Linear Analysis of Plate","author":"Chia C. Y.","year":"1980"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1007\/BF00120673"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1097-0207(19991030)46:6<943::AID-NME732>3.0.CO;2-L"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/S0020-7462(99)00034-7"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/0022-460X(90)90557-G"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.2001.3713"},{"key":"rf12","first-page":"205","volume":"123","author":"Malhotra N.","journal-title":"ASCE J. Engin. Mech."},{"key":"rf13","volume-title":"Nonlinear Oscillations","author":"Nayfeh A. H.","year":"1979"},{"key":"rf14","volume-title":"Dynamics: Numerical Explorations","author":"Nusse H. E.","year":"1997"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1007\/BF00044999"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008396603655"},{"key":"rf17","volume-title":"Mechanics of Laminated Composite Plates, Theory and Analysis","author":"Reddy J. N.","year":"1997"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.1999.2230"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.1994.1466"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1006\/jsvi.1993.1347"},{"key":"rf21","volume-title":"Analytical Mechanics","author":"Ye M.","year":"2001"},{"key":"rf22","first-page":"64","volume":"37","author":"Ye M.","journal-title":"Acta Mech. Sin."},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2004.12.028"},{"key":"rf24","first-page":"71","volume":"17","author":"Zhang W.","journal-title":"Acta Mech. Sin."}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127406014836","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T00:07:28Z","timestamp":1565136448000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127406014836"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,2]]},"references-count":24,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2006,2]]}},"alternative-id":["10.1142\/S0218127406014836"],"URL":"https:\/\/doi.org\/10.1142\/s0218127406014836","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,2]]}}}