• Structural Engineering and Mechanics
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• 제72권5호
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• pp.585-595
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• 2019

Foundations are a vital part of structures. Over time, the foundations can deteriorate due to unforeseen overloads and/or settlements, resulting in the appearance of cracks in the concrete. These cracks produce changes in the static and dynamic behavior of the affected foundation, which alter its load carrying capacity. In this work, non-destructive techniques of relative simplicity of application are presented for the detection, location, and quantification of damage, using numerical models, solved with the finite element method and Power Series. For this, two types of parameters are used: static (displacement and elastic curvature) and dynamics (natural frequencies). In the static analysis, the damage detection is done by means of a finite elements model representing a beam supported on an elastic foundation with a discrete crack that varies in length and location. With regard to dynamic analysis, the governing equations of the model are presented and a method based on Power Series is used to obtain the solution for a data set, which could be the Winkler coefficient, the location of the crack or the frequency. In order to validate the proposed methodologies, these techniques are applied to data obtained from laboratory tests.

• 대한토목학회논문집
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• 제14권1호
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• pp.83-91
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• 1994

뒤틀림을 받는 손상 관형 단면의 강도 및 거동을 파악하기 위한 효율적인 해석기법을 제시하였다. 단면의 뒤틀림을 고려키 위하여 유한요소 해석법을 이용하였으며 부재의 유한요소 해석시 발생하는 국부 불안정에 의한 하중-변형 응답의 발산 문제를 해결하기 위하여 손상부위만에 대하여 유한요소해석을 수행, 모멘트-곡률 관계를 일반화하여 이를 부재해석의 입력자료로 제공하였다. 광범위한 실용판형 부재를 포함하는 데이타베이스를 구축하여 이에 대한 복회귀분석을 수행, 일반화된 모멘트-곡률관계식을 제시하여 연구의 실용성을 제고 하였다.

• Steel and Composite Structures
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• 제1권3호
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• pp.341-354
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• 2001

This paper provides a state-of-the-art review on advanced analysis models for investigating the load-displacement and ultimate load behaviour of steel and composite frames subjected to static gravity and lateral loads. Various inelastic analysis models for steel and composite members are reviewed. Composite beams under positive and negative moments are analysed using a moment-curvature relationship which captures the effects of concrete cracking and steel yielding along the members length. Beam-to-column connections are modeled using rotational spring. Building core walls are modeled using thin-walled element. Finally, the nonlinear behaviour of a complete multi-storey building frame consisting of a centre core-wall and the perimeter frames for lateral-load resistance is investigated. The performance of the total building system is evaluated in term of its serviceability and ultimate limit states.

• 한국전산구조공학회논문집
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• 제15권1호
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• pp.189-195
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• 2002

이 논문은 크로소이드 완화곡선을 갖는 수평 곡선보의 자유진동에 관한 연구이다. 곡선보가 진동할 때 부재의 미소요소에 발생하는 합응력과 관성력에 대한 동적 평형방정식을 이용하여 변화곡률을 갖는 수평 곡선보의 자유진동을 지배하는 무차원 상미분방정식과 단부조건에 대한 무차원 경계조건을 유도하였다. 유도된 미분방정식을 크로소이드 완화 곡선을 갖는 수평 곡선보에 적용하여 회전-회전 및 고정-고정 보의 고유진동수 및 변위와 합응력의 진동형을 산출하였다. 구조해석용 범용프로그램인 ADINA와 본 연구의 결과를 비교하여 본 연구의 타당성을 검증하였으며, 수치해석의 결과로 무차원 고유진동수와 곡선보의 변수들 사이의 관계를 표 및 그림에 나타내었다.

• 한국강구조학회 논문집
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• 제24권2호
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• pp.175-188
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• 2012

본 연구에서는 개구제형 트윈 거더 교량의 곡률에 따른 상부수평브레이싱 부재력 산정식의 적절성 및 적용성을 검토하였다. 이를 위해 3경간 연속교를 대상으로 곡률반경을 50m에서 1,200m로 변화시켜 상부수평브레이싱의 부재력 산정식과 3차원 유한요소해석을 통한 부재력을 비교하였다. 그리하여 상부수평브레이싱의 공칭부재력을 계산할 수 있는 보정계수를 제안하였다. 특히 상부수평브레이싱 수직재 부재력 산정식은 3차원 유한요소해석결과와 잘 부합하지 않는 것으로 나타났는데, 이는 가로보의 유무에 따른 교축직각방향 강성의 영향이라 판단된다. 그리고 사재와 수직재의 휨, 비틀림, 뒤틀림 및 수평분력의 영향을 곡률별로 도식화하여 나타내었다.

• Smart Structures and Systems
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• 제14권4호
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• pp.569-594
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• 2014

Damage detection methods based on modal analysis have been widely studied in recent years. However the calculation of mode shapes in real structures can be time consuming and often requires dedicated software programmes. In the present paper the combined application of proper orthogonal decomposition and gapped smoothing method to structural damage detection is presented. The first is used to calculate the dynamic shapes of a damaged structural element using only the time response of the system while the second is used to derive a reference baseline to which compare the data coming from the damaged structure. Experimental verification is provided for a beam case while numerical analyses are conducted on plates. The introduction of a stiffener on a plate is investigated and a method to distinguish its influence from that of a defect is presented. Results highlight that the derivatives of the proper orthogonal modes are more effective damage indices than the modes themselves and that they can be used in damage detection when only data from the damaged structure are available. Furthermore the stiffened plate case shows how the simple use of the curvature is not sufficient when analysing complex components. The combined application of the two techniques provides a possible improvement in damage detection of typical aeronautical structures.

• Structural Engineering and Mechanics
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• 제59권3호
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• pp.503-526
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• 2016

In-plane and out-of-plane free vibration analysis of Timoshenko curved beams is addressed based on the isogeometric method, and an effective scheme to avoid numerical locking in both of the two patterns is proposed in this paper. The isogeometric computational model takes into account the effects of shear deformation, rotary inertia and axis extensibility of curved beams, and is applicable for uniform circular beams, and more complicated variable curvature and cross-section beams as illustrated by numerical examples. Meanwhile, it is shown that, the $C^{p-1}$-continuous NURBS elements remarkably have higher accuracy than the finite elements with the same number of degrees of freedom. Nevertheless, for in-plane or out-of-plane vibration analysis of Timoshenko curved beams, the NURBS-based isogeometric method also exhibits locking effect to some extent. To eliminate numerical locking, the selective reduced one-point integration and $\bar{B}$ projection element based on stiffness ratio is devised to achieve locking free analysis for in-plane and out-of-plane models, respectively. The suggested integral schemes for moderately slender models obtain accurate results in both dominated and non-dominated regions of locking effect. Moreover, this strategy is effective for beam structures with different slenderness. Finally, the influence factors of structural parameters of curved beams on their natural frequency are scrutinized.