کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
785922 1465387 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stochastic averaging of quasi-generalized Hamiltonian systems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Stochastic averaging of quasi-generalized Hamiltonian systems
چکیده انگلیسی

A stochastic averaging method for generalized Hamiltonian systems (GHS) subject to light dampings and weak stochastic excitations is proposed. First, the GHS are briefly reviewed and classified into five classes, i.e., non-integrable GHS, completely integrable and non-resonant GHS, completely integrable and resonant GHS, partially integrable and non-resonant GHS and partially integrable and resonant GHS. Then, the averaged Ito^ and FPK equations and the drift and diffusion coefficients for the five classes of quasi-GHS are derived. Finally, the stochastic averaging for a nine-dimensional quasi-partially integrable GHS is given to illustrate the application of the proposed procedure, and the results are confirmed by using those from Monte Carlo simulation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Non-Linear Mechanics - Volume 44, Issue 1, January 2009, Pages 71–80
نویسندگان
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