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090 _a656134
100 _a20171025a2017 k y0engy50 ba
101 0 _aeng
102 _aNL
135 _adrcn ---uucaa
181 0 _ai
182 0 _ab
200 1 _aChaotic dynamics of the size-dependent non-linear micro-beam model
_fA. V. Krysko [et al.]
203 _aText
_celectronic
300 _aTitle screen
320 _a[References: p. 27-28 (40 tit.)]
330 _aIn this work, a size-dependent model of a Sheremetev-Pelekh-Reddy-Levinson micro-beam is proposed and validated using the couple stress theory, taking into account large deformations. The applied Hamilton's principle yields the governing PDEs and boundary conditions. A comparison of statics and dynamics of beams with and without size-dependent components is carried out. It is shown that the proposed model results in significant, both qualitative and quantitative, changes in the nature of beam deformations, in comparison to the so far employed standard models. A novel scenario of transition from regular to chaotic vibrations of the size-dependent Sheremetev-Pelekh model, following the Pomeau-Manneville route to chaos, is also detected and illustrated, among others.
333 _aРежим доступа: по договору с организацией-держателем ресурса
461 _tCommunications in Nonlinear Science and Numerical Simulation
_d1996-
463 _tVol. 50
_v[P. 16-28]
_d2017
610 1 _aэлектронный ресурс
610 1 _aтруды учёных ТПУ
610 1 _aMicro-beam
610 1 _aCouple stress theory
610 1 _aPDEs
610 1 _aChaos
610 1 _aмикроволны
610 1 _aпринцип Гамильтона
610 1 _aхаотические колебания
610 1 _aпучки
610 1 _aдеформации
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 _aPavlov
_bS. P.
701 1 _aZhigalov
_bM. V.
_gMaksim
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
_2stltpush
_3(RuTPU)RU\TPU\col\20373
801 2 _aRU
_b63413507
_c20171025
_gRCR
856 4 _uhttps://doi.org/10.1016/j.cnsns.2017.02.015
942 _cCF