کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
805326 905133 2011 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
First passage failure of SDOF nonlinear oscillator with lightly fractional derivative damping under real noise excitations
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
First passage failure of SDOF nonlinear oscillator with lightly fractional derivative damping under real noise excitations
چکیده انگلیسی

The first passage failure of single-degree-of-freedom (SDOF) nonlinear oscillator with lightly fractional derivative damping under real noise excitations is investigated in this paper. First, the system state is approximately represented by one-dimensional time-homogeneous diffusive Markov process of amplitude through stochastic averaging. Then, the backward Kolmogorov equation governing the conditional reliability function and the Pontryagin equation governing the conditional mean of first passage time are established from the averaged Itô equation for Hamiltonian. The conditional reliability function, the conditional probability density and mean of the first passage time are obtained by solving these equations together with suitable initial condition and boundary conditions. Finally, two examples are worked out in detail and the analytical solutions are checked by those from the Monte Carlo simulation of original systems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Probabilistic Engineering Mechanics - Volume 26, Issue 2, April 2011, Pages 208–214
نویسندگان
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