000014256 001__ 14256
000014256 005__ 20161115100146.0
000014256 04107 $$aeng
000014256 046__ $$k2016-08-21
000014256 100__ $$aShi, Yulin
000014256 24500 $$aSemismooth Newton solver for periodically-forced solutions to a unilateral contact formulation

000014256 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014256 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014256 506__ $$arestricted
000014256 520__ $$2eng$$aThe vibratory response of a periodically-forced generic mechanical system undergoing a unilateral contact condition is addressed. The unilateral contact constraint is reformulated as a nonsmooth Lipschitz continuous function. This allows the use of the so-called semismooth Newton method capable of solving the equations governing the dynamics and the unilateral contact constraints simultaneously. The assumed periodic solution and the contact force are approximated by truncated Fourier series before being incorporated in the solver after projection of the equations on the Fourier basis. Continuation of the solution harmonics with respect to the forcing frequency is performed. For a medium size system of 20 degrees-of-freedom, it it shown that convergence is achieved by comparing with the “reference” time-marching solution.

000014256 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014256 653__ $$a

000014256 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014256 720__ $$aShi, Yulin
000014256 8560_ $$ffischerc@itam.cas.cz
000014256 8564_ $$s66874$$uhttps://invenio.itam.cas.cz/record/14256/files/PO.SM07-1.16.279.pdf$$yOriginal version of the author's contribution as presented on CD,  page 2277, code PO.SM07-1.16.279
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000014256 962__ $$r13812
000014256 980__ $$aPAPER