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A Generalization of the Burridge and Knopoff Model
  • PLAMEN NEYTCHEV NETCHEV,
  • Ricardo Ceballos Garzón,
  • Mauricio Alberto Bermudez
PLAMEN NEYTCHEV NETCHEV
Independent research
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Ricardo Ceballos Garzón
Universidad Central de Venezuela

Corresponding Author:[email protected]

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Mauricio Alberto Bermudez
UNIVERSIDAD PEDAGÓGICA Y TECNOLÓGICA DE COLOMBIA
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Abstract

The paper is dedicated to the classical glissade’s modeling in order to explain the earthquake mechanisms. The B&K model has been rethought generalizing the uniform movement of the largest stratum, corresponds to any continually acting force. In addition, for the resistance function has been used an expression obtained by the authors, based on the Elementary Catastrophes Theory that fully satisfies the conditions of the existence and uniqueness theorem regarding the solutions of the systems of ODE. The generalized B&K model equations have been solved numerically for a particular case through the respective standard software package MATLAB. The analysis of the results highlights a periodicity at the seismic activity (obtained at constant force) and the earthquake’s appearances it is shown as a consequence of the different system’s resonance points. All of the above would allow through the reengineering methods obtaining valuable information related to the structure and behavior of local plates.
08 May 2023Submitted to ESS Open Archive
25 May 2023Published in ESS Open Archive