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

V. M. Sadovskii, O. V. Sadovskaya, B. G. Tarasov

Research output: Chapter in Book/Conference paperConference paper

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Title of host publicationApplication of Mathematics in Technical and Natural Sciences
Subtitle of host publication10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018
EditorsMichail D. Todorov
Place of PublicationUSA
PublisherAmerican Institute of Physics
Volume2025
ISBN (Electronic)9780735417458
DOIs
Publication statusPublished - 25 Oct 2018
Event10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018 - Albena, Bulgaria
Duration: 20 Jun 201825 Jun 2018

Conference

Conference10th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2018
CountryBulgaria
CityAlbena
Period20/06/1825/06/18

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