Nonlinear behaviour of different flexible size-dependent beams models based on the modified couple stress theory. Part 1: Governing equations and static analysis of flexible beams

Nonlinear behaviour of different flexible size-dependent beams models based on the modified couple stress theory. Part 1: Governing equations and static analysis of flexible beams

Bibliographic Details
Parent link:	International Journal of Non-Linear Mechanics Vol. 93.— 2017.— [P. 96-105]
Corporate Author:	Национальный исследовательский Томский политехнический университет (ТПУ) Институт кибернетики (ИК) Кафедра инженерной графики и промышленного дизайна (ИГПД) Научно-учебная лаборатория 3D моделирования (НУЛ 3DМ)
Other Authors:	Krysko A. V. Anton Vadimovich, Awrejcewicz J. Jan, Zhigalov M. V. Maksim, Pavlov S. P., Krysko V. A. Vadim
Summary:	Title screen In the first part of the paper we employ the Sheremetev-Pelekh-Reddy-Levinson hypotheses, which yield a non-linear mathematical model of a beam taking into account geometric and physical non-linearity as well as transverse shear based on the modified couple stress theory. The general model includes both Bernoulli-Euler and Timoshenko models with/without geometric/physical non-linearity, and the size-dependent beam behaviour.In addition, we present results of the development of the relaxation method for solution to numerous static problems. The influence of the size-dependent coefficient on the load-deflection and stress-strain states of the Bernoulli-Euler, Timoshenko, and Sheremetev-Pelekh-Reddy-Levinson mathematical models has been also studied. Режим доступа: по договору с организацией-держателем ресурса
Published:	2017
Subjects:	электронный ресурс труды учёных ТПУ наномеханика beam models vibrations chaos nano-mechanics
Online Access:	https://doi.org/10.1016/j.ijnonlinmec.2017.03.005
Format:	Electronic Book Chapter
KOHA link:	https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=656127

Internet

https://doi.org/10.1016/j.ijnonlinmec.2017.03.005