000018287 001__ 18287
000018287 005__ 20170118182215.0
000018287 04107 $$aeng
000018287 046__ $$k2017-01-09
000018287 100__ $$aMorris, G. Robert
000018287 24500 $$aAssessment of Three Viscous Damping Methods for Nonlinear History Analysis: Rayleigh With Initial Stiffness, Rayleigh With Tangent Stiffness, and Modal

000018287 24630 $$n16.$$pProceedings of the 16th World Conference on Earthquake Engineering
000018287 260__ $$b
000018287 506__ $$arestricted
000018287 520__ $$2eng$$aThis paper discusses three methods for applying linear viscous damping at the global level in nonlinear time history analysis: (1) Rayleigh damping proportional to the mass and initial stiffness matrices, (2) Rayleigh damping proportional to the mass and tangent stiffness matrices, and (3) modal damping through the dynamic nonlinear modal analysis method, also known as fast nonlinear analysis (FNA). The effect of global stiffness changes on structures modeled with the three methods is studied and compared. This paper showcases one of the limitations of Method 1 (Rayleigh damping with initial stiffness): sensitivity to the modeling of localized nonlinearity, such as frame elements that are sub-divided around the nonlinear hinges. As the sub-division around the nonlinear hinges become smaller, the damping forces in the nonlinear elements become larger and can have a significant effect on the computed forces in neighboring elements as well as global behavior. In contrast, the latter two methods are insensitive to the modeling of localized nonlinearity. Finally, the results of nonlinear response history analyses using each method is compared for a 30-story building model used for performance-based design. All structural modeling and analysis is done using the commercial software ETABS 2015. Method 3 (modal damping with FNA) gives similar results to Method 2 (Rayleigh damping with tangent stiffness) for the 30-story building model. The effect of the three methods upon the efficiency of analysis is also compared.

000018287 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000018287 653__ $$aNonlinear Dynamic Analysis, Modal Damping, Rayleigh Damping, Fast Nonlinear Analysis.

000018287 7112_ $$a16th World Conference on Earthquake Engineering$$cSantiago (CL)$$d2017-01-09 / 2017-01-13$$gWCEE16
000018287 720__ $$aMorris, G. Robert$$iLu, Yuan
000018287 8560_ $$ffischerc@itam.cas.cz
000018287 8564_ $$s981459$$uhttps://invenio.itam.cas.cz/record/18287/files/1170.pdf$$yOriginal version of the author's contribution as presented on USB, paper 1170.
000018287 962__ $$r16048
000018287 980__ $$aPAPER