000015277 001__ 15277
000015277 005__ 20161115100216.0
000015277 04107 $$aeng
000015277 046__ $$k2016-08-21
000015277 100__ $$aThorin, Anders
000015277 24500 $$aNonsmooth modal analysis of piecewise-linear impact systems

000015277 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000015277 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000015277 506__ $$arestricted
000015277 520__ $$2eng$$aPeriodic solutions of autonomous and conservative second-order dynamical systems of finite dimension n undergoing a single unilateral contact condition are investigated in continuous time. The unilateral constraint is complemented with a purely elastic impact law conserving total energy. The dynamics is linear away from impacts. It is proven that the phase-space is primarily populated by onedimensional continua of periodic solutions, generating an invariant manifold which can be understood as a nonsmooth mode of vibration in the context of vibration analysis. Additionally, it is shown that nonsmooth modes of vibration can be calculated by solving only k ! 1 equations where k is the number of impacts per period. Results are illustrated on a mass-spring chain whose last mass undergoes a contact condition with an obstacle.

000015277 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015277 653__ $$a

000015277 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000015277 720__ $$aThorin, Anders
000015277 8560_ $$ffischerc@itam.cas.cz
000015277 8564_ $$s80253$$uhttps://invenio.itam.cas.cz/record/15277/files/TS.SM07-5.02.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2238, code TS.SM07-5.02
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000015277 962__ $$r13812
000015277 980__ $$aPAPER