{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:07:53Z","timestamp":1787321273719,"version":"build-2736575974"},"reference-count":23,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2016,1]]},"abstract":"<jats:p>As in part I [SIAM J. Math. Anal., 47 (2015), pp. 3285--3313] we consider a discrete mechanical system with a nontrivial inertia operator subjected to unilateral constraints with dry friction. We focus on the behavior of the system in case of tangential contact. Then frictional catastrophes, i.e., velocity jumps without collision, may occur, leading to the famous Painlev\u00e9's paradoxes. By a precise study of the approximate trajectories constructed in part I in a neighborhood of this kind of events, we show that the problem admits a solution which encompasses such phenomena.<\/jats:p>","DOI":"10.1137\/140988905","type":"journal-article","created":{"date-parts":[[2016,4,5]],"date-time":"2016-04-05T10:12:22Z","timestamp":1459851142000},"page":"1272-1296","source":"Crossref","is-referenced-by-count":6,"title":["Vibro-Impact Problems with Dry Friction---Part II: Tangential Contacts and Frictional Catastrophes"],"prefix":"10.1137","volume":"48","author":[{"given":"Laetitia","family":"Paoli","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2016,4,5]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1051\/m2an:2005004"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/2013092"},{"key":"atypb3","first-page":"305","volume":"2","author":"Beghin H.","year":"1923","journal-title":"Nouv. 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