کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6954682 1451831 2018 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Impact adding bifurcation in an autonomous hybrid dynamical model of church bell
ترجمه فارسی عنوان
تأثیر افزودن بیبورکتیو در یک مدل پویای همبستگی مستقل از زنگ کلیسا
کلمات کلیدی
زنگ ها، دینامیک غیر خطی، تأثیرات سیستم هیبریدی، تجزیه دوبختی، تأثیر افزودن بیبورکاسیون،
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر پردازش سیگنال
چکیده انگلیسی
In this paper we present the bifurcation analysis of the yoke-bell-clapper system which corresponds to the biggest bell “Serce Lodzi” mounted in the Cathedral Basilica of St Stanislaus Kostka, Lodz, Poland. The mathematical model of the system considered in this work has been derived and verified based on measurements of dynamics of the real bell. We perform numerical analysis both by direct numerical integration and path-following method using toolbox ABESPOL (Chong, 2016). By introducing the active yoke the position of the bell-clapper system with respect to the yoke axis of rotation can be easily changed and it can be used to probe the system dynamics. We found a wide variety of periodic and non-periodic solutions, and examined the ranges of coexistence of solutions and transitions between them via different types of bifurcations. Finally, a new type of bifurcation induced by a grazing event - an “impact adding bifurcation” has been proposed. When it occurs, the number of impacts between the bell and the clapper is increasing while the period of the system's motion stays the same.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mechanical Systems and Signal Processing - Volume 104, 1 May 2018, Pages 716-724
نویسندگان
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