{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,2,7]],"date-time":"2023-02-07T21:27:21Z","timestamp":1675805241666},"reference-count":28,"publisher":"Elsevier BV","issue":"2-3","license":[{"start":{"date-parts":[[2003,1,1]],"date-time":"2003-01-01T00:00:00Z","timestamp":1041379200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Applied Mathematics and Computation"],"published-print":{"date-parts":[[2003,1]]},"DOI":"10.1016\/s0096-3003(01)00278-8","type":"journal-article","created":{"date-parts":[[2002,10,10]],"date-time":"2002-10-10T13:33:13Z","timestamp":1034256793000},"page":"217-242","source":"Crossref","is-referenced-by-count":9,"title":["Modal interaction of resonantly forced oscillations of two-degree-of-freedom structure"],"prefix":"10.1016","volume":"134","author":[{"given":"A.F.","family":"El-Bassiouny","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0096-3003(01)00278-8_BIB1","series-title":"NonLinear Oscillation in Physical Systems","author":"Hayashi","year":"1964"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB2","series-title":"Perturbation Methods","author":"Nayfeh","year":"1973"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB3","series-title":"Resonance Oscillations in Mechanical System","author":"Evan-Iwanowski","year":"1976"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB4","series-title":"Nonlinear Vibrations","author":"Schmidt","year":"1986"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB5","series-title":"Applied Nonlinear Dynamics","author":"Nayfeh","year":"1994"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB6","doi-asserted-by":"crossref","first-page":"451","DOI":"10.1016\/0022-460X(84)90272-4","article-title":"Theoretical and experimental study of modal interaction in a two-degree-of-freedom structure","volume":"97","author":"Haddow","year":"1984","journal-title":"Journal of Sound and Vibrations"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB7","doi-asserted-by":"crossref","first-page":"706","DOI":"10.1115\/1.3125853","article-title":"Experimental observation of amplitude- and phase-modulated responses of two internally coupled oscillators to harmonic excitation","volume":"55","author":"Nayfeh","year":"1989","journal-title":"Journal of Applied Mechanics"},{"issue":"2","key":"10.1016\/S0096-3003(01)00278-8_BIB8","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1016\/0020-7462(90)90051-A","article-title":"Experimental investigation of resonantly forced oscillations of two-degree-of-freedom strcture","volume":"25","author":"Nayfeh","year":"1990","journal-title":"International Journal of Nonlinear Mechanics"},{"issue":"4","key":"10.1016\/S0096-3003(01)00278-8_BIB9","doi-asserted-by":"crossref","first-page":"960","DOI":"10.1115\/1.3176197","article-title":"An experimental investigation of complicated response of two-degree-of-freedom structure","volume":"56","author":"Balachandran","year":"1989","journal-title":"Journal of Applied Mechanics"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB10","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1115\/1.3629595","article-title":"The elastic cylindrical shell under nearly uniform radial impulse","volume":"31","author":"Goodier","year":"1964","journal-title":"Journal of Applied Mechanics"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB11","doi-asserted-by":"crossref","first-page":"2346","DOI":"10.2514\/3.4993","article-title":"Dynamic response of finite-length cylindrical shells to nearly uniform radial impulse","volume":"6","author":"Mclvor","year":"1968","journal-title":"AIAA Journal"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB12","doi-asserted-by":"crossref","first-page":"2233","DOI":"10.1299\/jsme1958.27.2233","article-title":"Nonlinear forced oscillations of a shallow spherical shell","volume":"27","author":"Yasuda","year":"1984","journal-title":"Bulletin of Japanese Society of Mechanical Engineering"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB13","doi-asserted-by":"crossref","first-page":"1625","DOI":"10.1016\/0020-7683(87)90113-2","article-title":"Non-linear oscillation of circular cylindrical shells","volume":"23","author":"Nayfeh","year":"1987","journal-title":"International Journal of Solids and Structures"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB14","doi-asserted-by":"crossref","first-page":"571","DOI":"10.1115\/1.3173071","article-title":"Non-linear forced response of circular cylindrical shells","volume":"54","author":"Nayfeh","year":"1987","journal-title":"Journal of Applied Mechanics"},{"issue":"2","key":"10.1016\/S0096-3003(01)00278-8_BIB15","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1016\/0020-7462(90)90051-A","article-title":"Experimental investigation of resonantly forced oscillations of two-degree-of-freedom structure","volume":"25","author":"Nayfeh","year":"1990","journal-title":"International Journal of Nonlinear Mechanics"},{"issue":"4","key":"10.1016\/S0096-3003(01)00278-8_BIB16","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1016\/0263-8223(90)90040-L","article-title":"Nonlinear oscillations of harmonically excited composite structure","volume":"16","author":"Balachandran","year":"1990","journal-title":"Composite Structures"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB17","doi-asserted-by":"crossref","first-page":"175","DOI":"10.1115\/1.3152389","article-title":"Nonlinear analysis of the forced response of structural systems","volume":"42","author":"Nayfeh","year":"1989","journal-title":"Applied Mechanics Reviews"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB18","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1121\/1.380639","article-title":"Nonlinear resonances in class of multi-degree-of-freedom systems","volume":"58","author":"Sridhar","year":"1975","journal-title":"Journal of the Acoustical Society of America"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB19","doi-asserted-by":"crossref","unstructured":"A.H. Nayfeh, D.T. Mook, J.F. Nayfeh, Some aspects of modal interactions in the response of beams, AIAA Paper No. 87-0777 presented at the AIAA 28th Structures, Structural Dynamics and Material Conference, Monterery, CA, April 6\u20138, 1987","DOI":"10.2514\/6.1987-777"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB20","doi-asserted-by":"crossref","first-page":"667","DOI":"10.1115\/1.3176144","article-title":"An alternative perturbation procedure of multiple scales for nonlinear dynamics systems","volume":"56","author":"Lue","year":"1989","journal-title":"Journal of Applied Mechanics"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB21","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1016\/0022-460X(89)90677-9","article-title":"On the internal resonance of multi-degree-of-freedom systems with cubic nonlinearities","volume":"128","author":"Cheung","year":"1989","journal-title":"Journal of Sound and Vibration"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB22","doi-asserted-by":"crossref","first-page":"1222","DOI":"10.2514\/3.49457","article-title":"Numerical-perturbation method for the nonlinear analysis of structural vibrations","volume":"12","author":"Nayfeh","year":"1974","journal-title":"AIAA Journal"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB23","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/0022-460X(86)90267-1","article-title":"Internal resonance effects\u2013simulation versus analytical method results","volume":"104","author":"Bajkowski","year":"1986","journal-title":"Journal of Sound Vibration"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB24","doi-asserted-by":"crossref","first-page":"446","DOI":"10.1115\/1.3169067","article-title":"Period-doubling bifurcations and modulated motions in forced mechanical systems","volume":"52","author":"Tousi","year":"1985","journal-title":"Journal of Applied Mechanics"},{"issue":"1","key":"10.1016\/S0096-3003(01)00278-8_BIB25","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1007\/BF02489163","article-title":"Harmonic, subharmonic, superharmonic, simulataneous sub-\/superharmonic and combination resonances of self-excited two-coupled second order system to multifrequency excitations","volume":"8","author":"Elnagger","year":"1993","journal-title":"Acta Mechanica Sicca"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB26","unstructured":"A.M. Elnagger, A.F. El-Bassiouny, Harmonic resonance of non-linear system of rods to excitation, First International Conference of Mathematical and Physical Applications, Cairo, 1995"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB27","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1016\/S0096-3003(98)10051-6","article-title":"Response of a three-degree-of-freedom system with cubic nonlinearities to harmonic excitation","volume":"104","author":"El-Bassiouny","year":"1999","journal-title":"Applied Mathematics and Computation"},{"key":"10.1016\/S0096-3003(01)00278-8_BIB28","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1016\/S0378-4754(01)00292-0","article-title":"Predication of bifurcations for external and parametric excited one-degree-of-freedom system with quadratic, cubic and quartic nonlinearities","volume":"57","author":"El-Bassiouny","year":"2001","journal-title":"Mathematics and Computer in Simulation"}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300301002788?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300301002788?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T05:36:34Z","timestamp":1578720994000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300301002788"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,1]]},"references-count":28,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[2003,1]]}},"alternative-id":["S0096300301002788"],"URL":"https:\/\/doi.org\/10.1016\/s0096-3003(01)00278-8","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[2003,1]]}}}