0
research-article

Path following bifurcation analysis of a church bell: Autonomous hybrid dynamical system approach

[+] Author and Article Information
Antonio Simon Chong Escobar

Centre for Applied Dynamics Research, University of Aberdeen, Kings College Aberdeen AB24 3UE, Scotland, UKFacultad de Ciencias Naturales y Matemáticas, Escuela Superior Politécnica del Litoral, Km. 30.5 Vía Perimetral, Guayaquil, Ecuador
a.chong@abdn.ac.uk

Piotr Brzeski

Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, PolandPotsdam Institute for Climate Impact Research (PIK), 14473 Potsdam, GermanyDepartment of Physics, Humboldt University, 12489 Berlin, Germany
piotr.brzeski@p.lodz.pl

Marian Wiercigroch

Centre for Applied Dynamics Research, University of Aberdeen, Kings College Aberdeen AB24 3UE, Scotland, UK
m.wiercigroch@abdn.ac.uk

Przemyslaw Perlikowski

Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland
przemyslaw.perlikowski@p.lodz.pl

1Corresponding author.

ASME doi:10.1115/1.4036114 History: Received December 19, 2016; Revised February 04, 2017

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, Numerical modelling and stability analysis of non-smooth dynamical systems via ABESPOL) based on Coco (Dankowicz et al., Recipes for continuation). 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.

Copyright (c) 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In