کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
559054 1451853 2016 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Chaotic dynamics of flexible beams driven by external white noise
ترجمه فارسی عنوان
پویایی هرج و مرج از تیرهای انعطاف پذیر توسط نویز سفید هدایت می شود
کلمات کلیدی
ارتعاش پارامتریک، انتقال ناشی از سر و صدا، پرتوهای، تجزیه و تحلیل فوریه و موجک
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر پردازش سیگنال
چکیده انگلیسی


• Novel scenarios of transition from regular to chaotic dynamics are detected.
• Combination of the classical scenarios are illustrated.
• White noise may either destroy or amplify deterministic chaos.

Mathematical models of continuous structural members (beams, plates and shells) subjected to an external additive white noise are studied. The structural members are considered as systems with infinite number of degrees of freedom. We show that in mechanical structural systems external noise can not only lead to quantitative changes in the system dynamics (that is obvious), but also cause the qualitative, and sometimes surprising changes in the vibration regimes. Furthermore, we show that scenarios of the transition from regular to chaotic regimes quantified by Fast Fourier Transform (FFT) can lead to erroneous conclusions, and a support of the wavelet analysis is needed. We have detected and illustrated the modifications of classical three scenarios of transition from regular vibrations to deterministic chaos. The carried out numerical experiment shows that the white noise lowers the threshold for transition into spatio-temporal chaotic dynamics. A transition into chaos via the proposed modified scenarios developed in this work is sensitive to small noise and significantly reduces occurrence of periodic vibrations. Increase of noise intensity yields decrease of the duration of the laminar signal range, i.e., time between two successive turbulent bursts decreases. Scenario of transition into chaos of the studied mechanical structures essentially depends on the control parameters, and it can be different in different zones of the constructed charts (control parameter planes). Furthermore, we found an interesting phenomenon, when increase of the noise intensity yields surprisingly the vibrational characteristics with a lack of noisy effect (chaos is destroyed by noise and windows of periodicity appear).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mechanical Systems and Signal Processing - Volume 79, 15 October 2016, Pages 225–253
نویسندگان
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