Abstract
This paper presents a new method to gain the structural reliability of a nonlinear single degree of freedom system with the material uncertainty and deteriorating characteristics due to a nonzero mean random excitation, by utilizing the Fokker-Planck equation approach (F-P method). Since the obtained moment equations of nonlinear systems by F-P method are not closed form, some approximations should be taken to get the closed form. In the presented paper, the response moments can be obtained to analyze the closed moment equations which are derived from the approximation of higher-order moments by lower-order moments with the aid of a truncation technique of higher-order cumulants. This paper shows the analysis of a Duffing oscillator subjected to a stationary Gaussian white noise as a typical example, and demonstrates that the resulting statistical values of the response agree well with the Monte Carlo simulation.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
