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

Chi tiết về thư mục
Parent link:	Communications in Nonlinear Science and Numerical Simulation Vol. 50.— 2017.— [P. 16-28]
Tác giả của công ty:	Томский политехнический университет Институт кибернетики, ИК
Tác giả khác:	Krysko A. V. Anton Vadimovich, Awrejcewicz J. Jan, Pavlov S. P., Zhigalov M. V. Maksim, Krysko V. A. Vadim
Tóm tắt:	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
Ngôn ngữ:	Tiếng Anh
Được phát hành:	2017
Những chủ đề:	электронный ресурс труды учёных ТПУ Micro-beam Couple stress theory PDEs Chaos микроволны принцип Гамильтона хаотические колебания пучки деформации
Truy cập trực tuyến:	https://doi.org/10.1016/j.cnsns.2017.02.015
Định dạng:	Điện tử Chương của sách
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