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
| Parent link: | International Journal of Non-Linear Mechanics Vol. 93.— 2017.— [P. 96-105] |
|---|---|
| Autor Corporativo: | |
| Outros autores: | , , , , |
| 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 |
| Idioma: | inglés |
| Publicado: |
2017
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| Subjects: | |
| Acceso en liña: | https://doi.org/10.1016/j.ijnonlinmec.2017.03.005 |
| Formato: | Electrónico Capítulo de libro |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=656127 |
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| 200 | 1 | |a 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 |f A. V. Krysko [et al.] | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: p. 104-105 (59 tit.)] | ||
| 330 | |a 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. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t International Journal of Non-Linear Mechanics | ||
| 463 | |t Vol. 93 |v [P. 96-105] |d 2017 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a наномеханика | |
| 610 | 1 | |a beam models | |
| 610 | 1 | |a vibrations chaos | |
| 610 | 1 | |a nano-mechanics | |
| 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 Zhigalov |b M. V. |g Maksim | |
| 701 | 1 | |a Pavlov |b S. P. | |
| 701 | 1 | |a Krysko |b V. A. |g Vadim | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет (ТПУ) |b Институт кибернетики (ИК) |b Кафедра инженерной графики и промышленного дизайна (ИГПД) |b Научно-учебная лаборатория 3D моделирования (НУЛ 3DМ) |3 (RuTPU)RU\TPU\col\20373 |
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