Approximate Analytical Solution for a Unilateral Contact Problem with Heavy Elastica
- Авторы: Solyaev Y.1, Ustenko A.1, Lykosova E.1
-
Учреждения:
- Institute of Applied Mechanics of the Russian Academy of Sciences
- Выпуск: Том 40, № 7 (2019)
- Страницы: 1010-1015
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/205106
- DOI: https://doi.org/10.1134/S1995080219070163
- ID: 205106
Цитировать
Аннотация
The non-linear bending of slender heavy beam resting on rigid plane and subjected to the end point force is studied. Solution of the problem is derived by using series expansion technique. Approximate closed-form analytical solution for the length of the separated segment of elastica is found. It is shown that obtained simple solution can be used as the approximate lower bound for the evaluation of the force that should be applied to the beam’s end to provide the prescribed length of separation, while the known classical solution of linear theory can be used as the upper bound.
Ключевые слова
Об авторах
Yu. Solyaev
Institute of Applied Mechanics of the Russian Academy of Sciences
Автор, ответственный за переписку.
Email: yos@iam.ras.ru
Россия, Moscow, 125040
A. Ustenko
Institute of Applied Mechanics of the Russian Academy of Sciences
Автор, ответственный за переписку.
Email: audlord@yandex.ru
Россия, Moscow, 125040
E. Lykosova
Institute of Applied Mechanics of the Russian Academy of Sciences
Автор, ответственный за переписку.
Email: elykosova@mail.ru
Россия, Moscow, 125040
![](/img/style/loading.gif)