کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
758505 896436 2013 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nonlinear vibrations of a mechanical system with non-regular nonlinearities and uncertainties
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Nonlinear vibrations of a mechanical system with non-regular nonlinearities and uncertainties
چکیده انگلیسی


• Concept of the Stochastic Multi-dimensional Harmonic Balance Method (Stochastic-MHBM).
• Quasi-periodic stochastic dynamic response with uncertainties in linear/nonlinear elements.
• Validation for a system with various types of nonlinearities: cubic, contact, friction.

This paper presents the concept of the Stochastic Multi-dimensional Harmonic Balance Method (Stochastic-MHBM) in order to solve dynamical problems with non-regular non linearities in presence of uncertainties. To treat the nonlinearity in the stochastic and frequency domains, the Alternate Frequency-Time method with Probabilistic Collocation (AFTPC) is proposed. The approach is demonstrated using nonlinear two-degree-of-freedom model with different types of nonlinearities (cubic nonlinearity, contact/no contact, friction). The quasi-periodic stochastic dynamic response is evaluated considering uncertainties in linear and nonlinear parts of the mechanical system. The results are compared with those obtained from the classical Monte Carlo Simulation (MCS). For various numerical tests, it is found that the results agreed very well whilst requiring significantly less computation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 18, Issue 11, November 2013, Pages 3250–3270
نویسندگان
, , ,