000012561 001__ 12561
000012561 005__ 20160920162629.0
000012561 04107 $$aeng
000012561 046__ $$k2016-09-05
000012561 100__ $$aPawlak, Z.
000012561 24500 $$aA response spectrum approach for structures with dampers modeled using fractional order derivatives

000012561 24630 $$n6.$$pInsights and Innovations in Structural Engineering, Mechanics and Computation
000012561 260__ $$bTaylor and Francis Group, London, UK
000012561 506__ $$arestricted
000012561 520__ $$2eng$$aThis study concerns the structural systems in which damping treatments were applied by means of Viscoelastic (VE) materials characterized by fractional derivative models. The fractional models have an ability to correctly describe the behavior of VE materials in a wide range of frequency, using a small number of model parameters. However, in this case, the governing equation of motion includes fractional derivatives together with ordinary ones. In the proposed approach, after applying the Laplace transform and the inverse transform to the equations of motion, we obtain a solution for the system with fractional dampers, which is equivalent to the modal solution used in the case of proportional damping. In order to validate the proposed approach, the maximum response of the structural system equipped with dampers is determined in the time domain. Thus, the equations of motion with fractional derivatives derived for the considered system are numerically integrated.

000012561 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000012561 653__ $$a

000012561 7112_ $$aSixth International Conference on Structural Engineering, Mechanics and Computation$$cCape Town, South Africa$$d2016-09-05 / 2016-09-07$$gSEMC2016
000012561 720__ $$aPawlak, Z.$$iLewandowski, R.
000012561 8560_ $$ffischerc@itam.cas.cz
000012561 8564_ $$s401610$$uhttps://invenio.itam.cas.cz/record/12561/files/009.pdf$$yOriginal version of the author's contribution as presented on CD, 009.pdf.
000012561 962__ $$r12552
000012561 980__ $$aPAPER