000013513 001__ 13513
000013513 005__ 20161114165557.0
000013513 04107 $$aeng
000013513 046__ $$k2011-05-25
000013513 100__ $$aChen, Ch.
000013513 24500 $$aDevelopment of a Family of Unconditionally Stable Explicit Direct Integration Algorithms with Controllable Numerical Damping Using Discrete Control Theory

000013513 24630 $$n3.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013513 260__ $$bNational Technical University of Athens, 2011
000013513 506__ $$arestricted
000013513 520__ $$2eng$$aIntegration algorithms are typically utilized to solve temporally discretized equations of motion in structural dynamics. Stability is an important property to be considered when selecting the proper integration algorithm for analysis of structures with a large number of degrees of freedom. The recent development of real-time structural testing brings more challenges to the integration algorithm. An explicit integration algorithm is more favorable in real-time structural testing because of its computational efficiency. However, the presence of numerical errors will lead to the spurious growth of high-frequency response in the dynamic analysis and the presence of inevitable experimental errors will aggravate this effect during real-time structural testing. It is therefore advantageous for an explicit integration algorithm to possess numerical damping to suppress any spurious participation of the high-frequency response while the lower modes are accurately integrated. This paper presents the development of a family of explicit direct integration algorithms with controllable numerical damping. Discrete control theory is utilized to assign proper stable poles to the discrete transfer function of the integrations algorithms to achieve unconditional stability and numerical damping. The properties of the proposed algorithm are investigated and compared with other well established algorithms such as the Newmark family of integration algorithms and the CR integration algorithm.

000013513 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013513 653__ $$aNumerical Algorithm, Control Theory, Stability, Structural Dynamics, Numerical Damping.

000013513 7112_ $$aCOMPDYN 2011 - 3rd International Thematic Conference$$cIsland of Corfu (GR)$$d2011-05-25 / 2011-05-28$$gCOMPDYN2011
000013513 720__ $$aChen, Ch.$$iRicles, J.
000013513 8560_ $$ffischerc@itam.cas.cz
000013513 8564_ $$s316403$$uhttp://invenio.itam.cas.cz/record/13513/files/219.pdf$$yOriginal version of the author's contribution as presented on CD, section: RS 19 Solution Algorithms and Reduced Order Methods.
000013513 962__ $$r13401
000013513 980__ $$aPAPER