کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5485314 1523195 2017 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonlinear normal modes and localization in two bubble oscillators
ترجمه فارسی عنوان
حالت عادی غیر خطی و محلی سازی در دو نوسانگر حباب
کلمات کلیدی
دینامیک حباب، نوسانی غیر خطی همراه است، حالت عادی غیر خطی، محلی سازی غیر خطی، تجزیه و تحلیل اختلال،
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم آکوستیک و فرا صوت
چکیده انگلیسی
We investigated a bifurcation structure of coupled nonlinear oscillation of two spherical gas bubbles subject to a stationary sound field by means of nonlinear modal analysis. The goal of this paper is to describe an energy localization phenomenon of coupled two-bubble oscillators, resulting from symmetry-breaking bifurcation of the steady-state oscillation. Approximate asymptotic solutions of nonlinear normal modes (NNMs) and steady state oscillation are obtained based on the method of multiple scales. It is found that localized oscillation arises in a neighborhood of the localized normal modes. The analytical solutions of the amplitude and the phase shift of the steady-state oscillation are compared to numerical results and found to be in good agreement within the limit of small-amplitude oscillation. For larger amplitude oscillation, a bifurcation diagram of the localized solution as a function of the driving frequency and the separation distance between the bubbles is provided in the presence of the thermal damping. The numerical results show that the localized oscillation can occur for a fairly typical parameter range used in practical experiments and simulations in the early literatures.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Ultrasonics - Volume 74, February 2017, Pages 174-185
نویسندگان
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