Path-Following Bifurcation Analysis of Church Bell Dynamics

Antonio Simon Chong Escobar, Piotr Brzeski, Marian Wiercigroch, Przemyslaw Perlikowski

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

In this paper, we perform a path-following bifurcation analysis of church bell to gain an insight into the governing dynamics of the yoke-bell-clapper system. We use an experimentally validated hybrid dynamical model based on the detailed measurements of a real church bell. Numerical analysis is performed both by a direct numerical integration and a path-following methods using a new numerical toolbox ABESPOL (Chong, 2016, "Numerical Modeling and Stability Analysis of Non-Smooth Dynamical Systems Via ABESPOL," Ph.D. thesis, University of Aberdeen, Aberdeen, UK) based on COCO (Dankowicz and Schilder, Recipes for Continuation (Computational Science and Engineering), Society for Industrial and Applied Mathematics, Philadelphia, PA). We constructed one-parameter diagrams that allow to characterize the most common dynamical states and to investigate the mechanisms of their dynamic stability. A novel method allowing to locate the regions in the parameters' space ensuring robustness of bells' effective performance is presented.

Original languageEnglish
Article number061017
Pages (from-to)1-8
Number of pages8
JournalJournal of Computational and Nonlinear Dynamics
Volume12
Issue number6
Early online date7 Sep 2017
DOIs
Publication statusPublished - 1 Nov 2017

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