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김용우,차승찬 한국원자력학회 2018 Nuclear Engineering and Technology Vol.50 No.6
Using the concept of quasi-static decomposition and using three-noded isoparametric locking-freeelement, this article presents a formulation of the finite element method for Timoshenko beam subjectedto spatially different time-dependent motions at supports. To verify the validity of the formulation,three fixed-hinged beams excited by the real seismic motions are examined; one is a slender beam,another is a stocky one, and the other is an intermediate one. The numerical results of time histories ofmotions of the three beams are compared with corresponding analytical solutions. The internal loadssuch as bending moment and shearing force at a specific time are also compared with analytic solutions. These comparisons show good agreements. The comparisons between static components of the internalloads and the corresponding total internal loads show that the static components predominate in thestocky beam, whereas the dynamic components predominate in the slender one. Thus, the total internalloads of the stocky beam, which is governed by static components, can be predicted simply by staticanalysis. Careful numerical experiments indicate that the fundamental frequency of a beam can be usedas a parameter identifying such a stocky beam.
지점 운동을 받는 티모센코 보에 대한 3-절점 등매개요소를 사용한 동적 유한요소해석
김용우(Kim, Yong-Woo),차승찬(Cha, Seungchan) 대한기계학회 2015 대한기계학회 춘추학술대회 Vol.2015 No.11
A dynamic FE equation for Timoshenko beam subjected to support motions is formulated by employing quasi-static decomposition method. Using 3-noded isoparametric Timoshenko beam element, the dynamic FE analysis of Timoshenko beam is carried out. Numerical tests for the fixed-hinged beam show that the solutions agree with those obtained by large mass method.