کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7174403 1465291 2018 35 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Approximately analytical technique for random response of LuGre friction system
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Approximately analytical technique for random response of LuGre friction system
چکیده انگلیسی
This manuscript concentrates on the random response evaluation of dynamic friction system, in which the dynamic friction is described by LuGre friction law while the random excitation by Gaussian white noise. The definitive solution can be obtained by solving two coupled equations: a second-order stochastic differential equation with respect to the system displacement and an auxiliary first-order nonsmooth differential equation with respect to the internal friction state. The auxiliary differential equation is first integrated to derive the approximate relation between the friction force and current system states under the assumption of slowly varying amplitude, and then the original problem with definitive solution is approximated by a modified second-order stochastic differential equation with respect to the system displacement and amplitude. With the application of the equivalent non-linearization technique, an equivalent nonlinear system is constructed and solved to obtain the analytical expression of the stationary probability density of system displacement and velocity, which is the approximately analytical solution for the modified system and the original frictional system. Numerical results on the Duffing system with LuGre friction validate the effectiveness and accuracy of the proposed approximately analytical technique.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Non-Linear Mechanics - Volume 104, September 2018, Pages 1-7
نویسندگان
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