کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
787857 1465310 2016 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
First-passage problem of a class of internally resonant quasi-integrable Hamiltonian system under wide-band stochastic excitations
ترجمه فارسی عنوان
اولین مسئله عبور از یک طبقه از سیستم همیلتون با شبه انتگرال گیرنده داخلی تشدید شده تحت تحریکات تصادفی رنج وسیعی
کلمات کلیدی
مشکل اول گذر رزونانس داخلی، تحریک احتمالی باند باند، روش میانگین سازی تصادفی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی


• Internal resonance is theoretically studied in MDOF quasi-integrable Hamiltonian systems.
• The stochastic excitation is modeled as wide-band stochastic noise, not Gaussian white noise.
• High-dimensional partial differential equations are solved.

In this paper, first-passage problem of a class of internally resonant quasi-integrable Hamiltonian system under wide-band stochastic excitations is studied theoretically. By using stochastic averaging method, the equations of motion of the original internally resonant Hamiltonian system are reduced to a set of averaged Itô stochastic differential equations. The backward Kolmogorov equation governing the conditional reliability function and the Pontryagin equation governing the mean first-passage time are established under appropriate boundary and (or) initial conditions. An example is given to show the accuracy of the theoretical method. Numerical solutions of high-dimensional backward Kolmogorov and Pontryagin equation are obtained by finite difference. All theoretical results are verified by Monte Carlo simulation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Non-Linear Mechanics - Volume 85, October 2016, Pages 143–151
نویسندگان
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