000022302 001__ 22302
000022302 005__ 20170622150006.0
000022302 04107 $$aeng
000022302 046__ $$k2015-05-25
000022302 100__ $$aPapazafeiropoulos, George
000022302 24500 $$aNONLINEAR DYNAMIC RESPONSE OF HARDENING, SOFTENING AND ELASTOPLASTIC SDOF SYSTEMS USING GENERALIZED SINGLE STEP ALGORITHMS WITH NEWTON - RAPHSON ITERATIONS

000022302 24630 $$n5.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000022302 260__ $$bNational Technical University of Athens, 2015
000022302 506__ $$arestricted
000022302 520__ $$2eng$$aThe dynamic equation of motion of a SDOF system with a nonlinear elastic hardening spring, a SDOF system with a nonlinear elastic softening spring and a SDOF system with a nonlinear elastic-plastic spring is integrated numerically using a family of linear generalized single step-single solve algorithms. For this purpose, these algorithms are extended by using a Newton-Raphson type iterative procedure in each time step to ensure dynamic equilibrium. After a literature review of the available time integration schemes used for nonlinear problems, the linear family of algorithms is presented along with several common time integration algorithms as special cases of the generalized algorithm. An explicit flowchart is given showing the integration procedure used in the present study. The modified algorithm is applied to the aforementioned three types of SDOF systems and results concerning phase portraits, (relative) energy decrease, iterations needed for equilibrium and internal force - displacement curves are presented. It is shown that the algorithms with optimal numerical dissipation and dispersion perform in general better than others, and that from the algorithms with optimal numerical dissipation and dispersion, only the one with zero-displacement and zero-velocity overshooting behavior can capture efficiently the elastoplastic dynamic response.

000022302 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000022302 653__ $$aNonlinear dynamic response, Newton-Raphson, stability, elastic, plastic, hardening, softening, elastoplastic, single step time integration algorithm.

000022302 7112_ $$aCOMPDYN 2015 - 5th International Thematic Conference$$cCrete (GR)$$d2015-05-25 / 2015-05-27$$gCOMPDYN2015
000022302 720__ $$aPapazafeiropoulos, George$$iPapadrakakis, Manolis$$iPlevris, Vagelis
000022302 8560_ $$ffischerc@itam.cas.cz
000022302 8564_ $$s624532$$uhttps://invenio.itam.cas.cz/record/22302/files/C3606.pdf$$yOriginal version of the author's contribution as presented on CD, section: 
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000022302 962__ $$r22030
000022302 980__ $$aPAPER