Journal
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
Volume 185, Issue -, Pages -Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ymssp.2022.109764
Keywords
Extended path integration; Multiple non -smooth events; Ordered non -smooth events set; Stochastic response
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An extended path integration method is proposed to obtain the stochastic response of systems with multiple non-smooth events. The concept of ordered non-smooth events set and a regular mapping based on continuity in time and space are introduced to handle multiple non-smooth events uniformly. The novel results on constraints obtained by the extended path integration algorithm are demonstrated using Duffing vibro-impact systems with various bilateral constraints.
An extended path integration method is designed for obtaining the stochastic response of systems with multiple non-smooth events. The concept of the ordered non-smooth events set is proposed, which makes complex non-smooth events orderly. Then we cleverly establish a regular mapping on this set according to the continuity in time and space, it allows multiple non-smooth events to be handled uniformly. Based on this, an extended path integration method is proposed to capture the non-smooth behavior of the system in a direct manner. The Duffing vibro-impact systems with various bilateral constraints are used as examples to show the novel results on constraints ob-tained by the extended path integration algorithm. Finally, Monte Carlo simulations prove that our algorithm has wide applicability and good accuracy.
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