Abstract
Probability distribution of stationary responses of a nonlinear system subjected to a random train of impulses which occur at random times and have random amplitudes is analyzed. Firstly, statistical properties of a random train of impulses are formulated, and equations for statistical moments of responses are derived. Secondly, weighted sum of several Gaussian probability density functions with various parameters is used to approximate the probability density functions of responses which are generally non-Gaussian. Computational procedure is shown and numerical examples are given for a Duffing oscillator. The usefulness of the present method is demonstrated by comparison with simulation results.
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.
