Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
Computational improvement in the evaluation of dynamic integrity with Monte Carlo method
Submission Author:
Kaio César Borges Benedetti , GO , Brazil
Co-Authors:
Kaio César Borges Benedetti, Frederico Martins Alves da Silva, Paulo Batista Goncalves
Presenter: Frederico Martins Alves da Silva
doi://10.26678/ABCM.COBEM2017.COB17-0769
Abstract
The dynamic integrity of structural systems is a modern concept in engineering analysis. It can be evaluated through the analysis of basins of attraction (BoA), a difficult task to obtain analytically. Numerical methods to find BoA have been developed in the last decades; all based on a pre-defined grid of starts (GoS) and the simple cell mapping (SCM). Since large scale systems have multiple dimensions in phase space, these methods do not scale well, being computationally cumbersome and time consuming. In this study, a new method is proposed to obtain the dynamic integrity of a structural system, based on the Monte Carlo technique. A simple mechanical system will be addressed. Through comparisons between the Monte Carlo, the GoS and SCM procedures, it is shown that the dynamic integrity measures can be estimated with minimal error and less computational processing time by the proposed method, demonstrating its effectiveness.
Keywords
Dynamic Systems, Basin of attraction, Dynamic integrity, Monte Carlo method
