Modeling of fan waves taking into account the resistance to separation of domino-slabs in a fan-shaped system

Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций

Конференция: TENTH INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES; Albena, Bulgaria; Albena, Bulgaria

Год издания: 2018

Идентификатор DOI: 10.1063/1.5064918

Аннотация: In our research, we analyze the laboratory physical model of the system of rotating bonded slabs on inclined plane, which was created to imitate the process of fan waves formation and propagation in hard rocks at the depths of seismic activity in the Earth's crust. Mathematical model of the dynamics of this system as a mechanical system with a finite number of degrees of freedom is realized by means of the Merson method for numerical solution of ordinary differential equations. We consider two approaches describing the resistance to separation of slabs in a fan-structure. In the first of them, a nonlinear tension diagram for the bonds between the slabs with a characteristic tooth simulating the initial strength of the bonds is determined. In the second one, the value of limiting force is assumed to be given. Comparison of the computational results by these two approaches shows a good qualitative and quantitative correspondence. The influence of dry friction on the process of motion of a fan as well as the dependence of the speed of a fan on the geometrical and mechanical parameters of a system are analyzed.

Ссылки на полный текст

Издание

Журнал: TENTH INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES

Номера страниц: 070006

Издатель: Euro-American consortium for Promoting the Application of Mathematics in Technical and Natural Sciences

Авторы

  • Sadovskii V.M. (Institute of Computational Modeling,SB RAS)
  • Sadovskaya O.V. (Institute of Computational Modeling,SB RAS)
  • Tarasov B.G. (University of Western Australia)

Вхождение в базы данных

Информация о публикациях загружается с сайта службы поддержки публикационной активности СФУ. Сообщите, если заметили неточности.

Вы можете отметить интересные фрагменты текста, которые будут доступны по уникальной ссылке в адресной строке браузера.