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

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

Bibliografske podrobnosti
Parent link:	Communications in Nonlinear Science and Numerical Simulation Vol. 50.— 2017.— [P. 16-28]
Korporativna značnica:	Национальный исследовательский Томский политехнический университет (ТПУ) Институт кибернетики (ИК) Кафедра инженерной графики и промышленного дизайна (ИГПД) Научно-учебная лаборатория 3D моделирования (НУЛ 3DМ)
Drugi avtorji:	Krysko A. V. Anton Vadimovich, Awrejcewicz J. Jan, Pavlov S. P., Zhigalov M. V. Maksim, Krysko V. A. Vadim
Izvleček:	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
Jezik:	angleščina
Izdano:	2017
Teme:	электронный ресурс труды учёных ТПУ Micro-beam Couple stress theory PDEs Chaos микроволны принцип Гамильтона хаотические колебания пучки деформации
Online dostop:	https://doi.org/10.1016/j.cnsns.2017.02.015
Format:	Elektronski Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=656134

Internet

https://doi.org/10.1016/j.cnsns.2017.02.015