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101 0 _aeng
135 _adrcn ---uucaa
181 0 _ai
182 0 _ab
200 1 _aNonlinear dynamics and contact interactions of the structures composed of beam-beam and beam-closed cylindrical shell members
_fA. V. Krysko [et al.]
203 _aText
_celectronic
300 _aTitle screen
320 _a[References: p. 638 (53 tit.)]
330 _aNonlinear beam-beam and beam-cylindrical shell contact interactions, where a beam is subjected to harmonic uniform load, are studied. First, the nonlinear dynamics governed by four nonlinear PDEs including a switch function controlling the contact pressure between the mentioned structural members are presented. Relations between dimensional and dimensionless quantities are derived, and the original problem of infinite dimension has been reduced to that of oscillator chains via the FDM (Finite Difference Method). Time histories, FFT (Fast Fourier Transform), phase portraits, Poincaré maps, and Morlet wavelets are applied to discover novel nonlinear chaotic and synchronization phenomena of the interacting structural members. Numerous bifurcations, full-phase synchronization of the beam-shell vibrations, the evolution of energy of the vibrating members, damped vibrations of the analyzed conservative system of the beam and the shell surface deformations for various time instants, as well as the buckling of the shell induced by impacts are illustrated and discussed, among others.In addition, we have detected that in all studied cases, in spite of analyzing a large set of nonlinear ODEs approximating the behavior of interacting structural members, the scenario of transition from regular to chaotic dynamics follows the Ruelle-Takens-Newhouse scenario.
333 _aРежим доступа: по договору с организацией-держателем ресурса
461 _tChaos, Solitons & Fractals
_oScientific Journal
463 _tVol. 91
_v[P. 622–638]
_d2016
610 1 _aэлектронный ресурс
610 1 _aтруды учёных ТПУ
701 1 _aKrysko
_bA. V.
_cspecialist in the field of Informatics and computer engineering
_cprogrammer Tomsk Polytechnic University, Professor, doctor of physico-mathematical Sciences
_f1967-
_gAnton Vadimovich
_2stltpush
_3(RuTPU)RU\TPU\pers\36883
701 1 _aAwrejcewicz
_bJ.
_gJan
701 1 _aSaltykova
_bS. V.
_gSergey Vladimirovich
701 1 _aKonovalenko
_bO. A.
_gOlga Aleksandrovna
701 1 _aVetsel
_bS. S.
701 1 _aKrysko
_bV. A.
_gVadim
712 0 2 _aНациональный исследовательский Томский политехнический университет (ТПУ)
_bИнститут кибернетики (ИК)
_bКафедра инженерной графики и промышленного дизайна (ИГПД)
_bНаучно-учебная лаборатория 3D моделирования (НУЛ 3DМ)
_h6704
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801 2 _aRU
_b63413507
_c20220210
_gRCR
856 4 _uhttp://dx.doi.org/10.1016/j.chaos.2016.09.001
942 _cCF