کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4924113 1430827 2017 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Average first-passage time of a quasi-Hamiltonian Mathieu oscillator with parametric and forcing excitations
ترجمه فارسی عنوان
میانگین زمان گذر اولی از نوسانگر ماتیو شبه هامیلتویون با تحریک پارامتریک و تحریک
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی عمران و سازه
چکیده انگلیسی
A linear oscillator simultaneously subjected to stochastic forcing and parametric excitation is considered. The time required for this system to evolve from a low initial energy level until a higher energy state for the first time is a random variable. Its expectation satisfies the Pontryagin equation of the problem, which is solved with the asymptotic expansion method developed by Khasminskii. This allowed deriving closed-form expressions for the expected first passage time. A comprehensive parameter analysis of these solutions is performed. Beside identifying the important dimensionless groups governing the problem, it also highlights three important regimes which are called incubation, multiplicative and additive because of their specific features. Those three regimes are discussed with the parameters of the problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Sound and Vibration - Volume 406, 13 October 2017, Pages 328-345
نویسندگان
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