Discontinuous transformations and averaging for vibro-impact analysis

Jon Juel Thomsen, A. Fidlin

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Abstract

Certain vibro-impact problems can be conveniently solved by discontinuous transformations combined with averaging. We briefly outline the background for this, and then focus on illustrating the procedure for specific examples: A self-excited friction oscillator with one- or two-sided stops, and a particle on a vibrating plane. Vibro-impact systems are characterized by repeated collisions. Applications include devices to crush, grind, forge, drill, punch, tamp, pile, cut, and surface treat a variety of objects, and vibrating machinery or structures with slips and stops. Compared to the classical method of stitching (together non-impacting solution parts), the suggested procedure works even in the presence of additional nonlinearities, and provides analytical solutions without switching conditions. By contrast to the method of equivalent linearisation, it assumes a kinematic rather than kinetic impact formulation. Approximate methods in this area are necessary, and averaging with discontinuous transformations is believed to be a useful supplement.
Original languageEnglish
Title of host publicationProcedings of XXI Int. Congress of Theoretical and Applied Mechanics
Volume2 pages on CD
PublisherXXI Int. Congress of Theoretical and Applied Mechanics
Publication date2004
Publication statusPublished - 2004
EventXXI International Congress of Theoretical and Applied Mechanics - Warsaw, Poland
Duration: 15 Aug 200421 Aug 2004
Conference number: 21

Conference

ConferenceXXI International Congress of Theoretical and Applied Mechanics
Number21
CountryPoland
CityWarsaw
Period15/08/200421/08/2004

Fingerprint

Dive into the research topics of 'Discontinuous transformations and averaging for vibro-impact analysis'. Together they form a unique fingerprint.

Cite this