Chaotic dynamics of the size-dependent non-linear micro-beam model; Communications in Nonlinear Science and Numerical Simulation; Vol. 50

書誌詳細
Parent link:Communications in Nonlinear Science and Numerical Simulation
Vol. 50.— 2017.— [P. 16-28]
団体著者: Национальный исследовательский Томский политехнический университет (ТПУ) Институт кибернетики (ИК) Кафедра инженерной графики и промышленного дизайна (ИГПД) Научно-учебная лаборатория 3D моделирования (НУЛ 3DМ)
その他の著者: Krysko A. V. Anton Vadimovich, Awrejcewicz J. Jan, Pavlov S. P., Zhigalov M. V. Maksim, Krysko V. A. Vadim
要約:Title screen
In 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.
Режим доступа: по договору с организацией-держателем ресурса
言語:英語
出版事項: 2017
主題:
オンライン・アクセス:https://doi.org/10.1016/j.cnsns.2017.02.015
フォーマット: 電子媒体 図書の章
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=656134

MARC

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200 1 |a Chaotic dynamics of the size-dependent non-linear micro-beam model  |f A. V. Krysko [et al.] 
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300 |a Title screen 
320 |a [References: p. 27-28 (40 tit.)] 
330 |a In 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 |a Режим доступа: по договору с организацией-держателем ресурса 
461 |t Communications in Nonlinear Science and Numerical Simulation 
463 |t Vol. 50  |v [P. 16-28]  |d 2017 
610 1 |a электронный ресурс 
610 1 |a труды учёных ТПУ 
610 1 |a Micro-beam 
610 1 |a Couple stress theory 
610 1 |a PDEs 
610 1 |a Chaos 
610 1 |a микроволны 
610 1 |a принцип Гамильтона 
610 1 |a хаотические колебания 
610 1 |a пучки 
610 1 |a деформации 
701 1 |a Krysko  |b A. V.  |c specialist in the field of Informatics and computer engineering  |c programmer Tomsk Polytechnic University, Professor, doctor of physico-mathematical Sciences  |f 1967-  |g Anton Vadimovich  |3 (RuTPU)RU\TPU\pers\36883 
701 1 |a Awrejcewicz  |b J.  |g Jan 
701 1 |a Pavlov  |b S. P. 
701 1 |a Zhigalov  |b M. V.  |g Maksim 
701 1 |a Krysko  |b V. A.  |g Vadim 
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