000015546 001__ 15546
000015546 005__ 20161115135323.0
000015546 04107 $$aeng
000015546 046__ $$k2013-06-12
000015546 100__ $$aHashemi, A.
000015546 24500 $$aBasic Displacement Functions in Dynamic Analysis of an Arch Dam As a Curved Beam Resting on a Continues Elastic Foundation

000015546 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000015546 260__ $$bNational Technical University of Athens, 2013
000015546 506__ $$arestricted
000015546 520__ $$2eng$$aIn recent years several researches have been done on different ways of analyzing and designing arch dams but most of them were involved with cumbersome calculations and heavy loads of computations. In this paper a novel approach for dynamic analysis of arch dams is presented. The most commonly accepted method for analyzing arch dams assumes that the horizontal water load is divided between arches and cantilevers so that the arch and cantilever deflections are equal at conjugate points in all parts of structure. In this the arch dam is modeled as non-prismatic curved beam resting on continues elastic foundation. Based on structural and mechanical principals, a flexibility based method is used to evaluate exact structural matrices and by introducing the concept of basic displacement functions (BDFs), it is shown that dynamic shape functions are derived in terms of BDFs. The flexibility basis ensures the true satisfaction of equilibrium equations at any interior point of the curved element. Dynamic stiffness matrix is evaluated by solving the governing equation of motion. Differential Transform method, a powerful numerical tool in solving of ordinary differential equations, is used for this purpose. The method is capable of modeling any curved element whose crosssectional area and moment of inertia vary along beam with any two arbitrary functions and any type of cross-section with just few numbers of elements so that it can be used in most of engineering applications concerning non-prismatic curved beams and arch dams in particular. In order to verify the competency of the method, a numerical example are presented and the results and convergence of them are compared with other methods in the literature.

000015546 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015546 653__ $$aBasic Displacement Functions, Curved beam, Differential transform, Dynamic Stiffness Matrix, Non-prismatic, Elastic foundation.

000015546 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000015546 720__ $$aHashemi, A.$$iAttarnejad, R.$$iZarinkamar, S.
000015546 8560_ $$ffischerc@itam.cas.cz
000015546 8564_ $$s324895$$uhttps://invenio.itam.cas.cz/record/15546/files/1053.pdf$$yOriginal version of the author's contribution as presented on CD, section: CD-RS 03 COMPUTATIONAL SEISMIC STRUCTURAL ANALYSIS
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000015546 962__ $$r15525
000015546 980__ $$aPAPER