• Steel and Composite Structures
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• 제44권4호
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• pp.451-471
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• 2022

In the present paper, the static bending and buckling responses of functionally graded carbon nanotubes-reinforced composite (FG-CNTRC) beam under various boundary conditions are investigated within the framework of higher shear deformation theory. The significant feature of the proposed theory is that it provides an accurate parabolic distribution of transverse shear stress through the thickness satisfying the traction-free boundary conditions needless of any shear correction factor. Uniform (UD) and four graded distributions of CNTs which are FG-O, FG-X, FG- and FG-V are selected here for the analysis. The effective material properties of FG-CNTRC beams are estimated according to the rule of mixture. To model the FG-CNTRC beam realistically, an efficient Hermite-Lagrangian finite element formulation is successfully developed. The accuracy and efficiency of the present model are demonstrated by comparison with published benchmark results. Moreover, comprehensive numerical results are presented and discussed in detail to investigate the effects of CNTs volume fraction, distribution patterns of CNTs, boundary conditions, and length-to-thickness ratio on the bending and buckling responses of FG-CNTRC beam. Several new referential results are also reported for the first time which will serve as a benchmark for future studies in a similar direction. It is concluded that the FG-X-CNTRC beam is the strongest beam that carries the lowest central deflection and is followed by the UD, V, Λ, and FG-O-CNTRC beam. Besides, the critical buckling load belonging to the FG-X-CNTRC beam is the highest, followed by UD and FG-O.

• 대한기계학회논문집A
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• 제39권3호
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• pp.241-247
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• 2015

교량이나 배관과 같이 긴 길이의 구조물은 처짐 및 변형이 발생하기 쉽다. 이러한 구조물의 건전성 감시를 위해서는 국부적인 물리량 측정뿐만 아니라 전체의 형상 감시가 필요하다. 광섬유 브래그 격자(Fiber Bragg Grating; FBG) 센서는 광섬유에 다수의 센서 적용이 가능하여 대형 구조물 감시에 효과적이다. 본 연구에서는 FBG를 이용하여 구조물의 다점에서 변형률을 측정하고, 이를 바탕으로 구조물 전체의 형상 추정을 위한 연구를 수행하였다. 구조물의 정확한 감시가 가능하도록 3차원의 형상 추정을 연구하고 실험적 검증을 수행하였다. 실험 결과 구조물의 변형에 따른 형상 변화의 추정이 가능함을 확인하였고, 추가로 특정 위치에서의 처짐량을 실제 마이크로미터로 측정한 값과 예측된 값을 비교하여 검증하였다.

• 콘크리트학회논문집
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• 제26권4호
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• pp.555-562
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• 2014

성능 기반 내진설계를 위해서는 지진후 건물의 사용성과 복원성에 대한 명확한 목표가 필요하다. 이를 위해서는 건물의 구성 재료의 검토가 필요하고, 특히, 부재에 잔류하는 변형을 지표로 사용하는 것은 유용하다. 프리스트레스트 콘크리트는 PC 강재의 원점지향적 성질 덕분에 많이 이용이 될 것으로 생각된다. 이 연구는 PSC 보부재의 잔류 변형을 연구하고 산정하는 것에 목표를 두고 있다. '등가 소성 힌지 길이법'을 바탕으로 위험단면에서의 곡률과 등가 소성 힌지 길이를 이용하여 부재의 변형각을 구하는 식을 유도한다. '분할 요소 해석법'을 통하여 PC강재와 콘크리트 사이의 부착-미끄러짐을 고려하면서 힘의 균형과 변형을 적합 조건을 만족하는 해석값을 도출했다. 잔류 변형률에 영향을 미치는 각종 요인들을 파라미터 스터디를 통하여 잔류 변형률 산정식에 필요한 각종 수치를 결정했다. 그중에서 잔류변형에 많은 영향을 미치는 피크시 등가 소성 힌지 길이, 잔류 변형시 등가 소성 힌지 길이 및 피크시부터 잔류 변형시에 발생하는 위험 단면 위치에서의 곡률 감소량에 대하여 중점적으로 검토를 실시했다. 이 연구 결과를 바탕으로 앞으로 활발한 연구가 진행되기를 기대한다.

• Spatial Information Research
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• 제7권1호
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• pp.63-79
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• 1999

본 연구에서는 디지털 데오돌라이트를 이용한 3차원 정밀측량시스템의 작동 및 그 내재된 연산 알고리즘의 파악과 구현을 도모하였으며 레이저 변형관측시스템의 사용가능성을 고찰하였다. 데오돌라이트 시스템에서는 데오돌라이트와 컴퓨터의 교산 데이터의 취득 및 저장, 해석사진측량에서의 알고리즘을 이용한 대상물의 3차원 좌표의 조정 등의 컴퓨터 프로그램을 구현하였다. 그리고 레이저 변형관측시스템의 고안을 위해서는 레이저 광원과 탐지기에 대한 고찰 실험실에서의 시스템 시뮬레이션을 위한 레이저 시스템의 구성 띤 설치, 레이저빔의 주사 가능한 빔의 직경과 빔 안정성, 공기의 흐름, 온도의 변화 등 레이저빔의 경로 주위환경의 변화에 따른 빔 변이(Fluctuation)량 등을 실험하였다. 간격 17M의 광원과 탐지기에서의 실험에 의하면 레이저빔은 공기의 흐름에는 거의 영향을 받지 않으나, 온도 및 빛의 변화에 영향을 받는 것으로 판단되며, 흐리고 온도의 변화가 없는 날짜와 시각을 선택하여 실험을 하면 약 2mm 정도 이상의 변형 관측이 가능한 것으로 나타났다.

• 한국광학회지
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• 제16권6호
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• pp.521-526
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• 2005

우리는 국내에서 처음으로 직경 300 mm인 광집속장치를 정렬 및 조립하였다. 이 장치는 주경, 부경 그리고 5개의 연결 거울로 구성된다. 이중에서 가장 중요한 부품인 주경은 각 구조물들과의 조립때마다 발생할 수 있는 변형을 정밀 측정하였다. 또한 사용되는 거울의 개수가 많기 때문에 광학정렬에는 체계적인 정렬 알고리즘을 도입하였다. 최종 조립결과 파면수차는 1.9 wave rms(wave =633 nm)로 예상치의 7배정도 큰 값이었다. 이것의 주원인은 조립 과정에서 발생한 연결 거울들의 변형인 것으로 확인되었다. 본 광집속장치를 정렬하면서 발생했던 문제점들에 대한 고찰은 향후 대형광학계를 만들 때 유용하게 사용될 수 있다.

• Earthquakes and Structures
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• 제8권3호
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• pp.555-572
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• 2015

This paper presents an experimental study of three two-dimensional (2D/planar) steel reinforced concrete (SRC) T-shaped column-RC beam hybrid joints and six 3D SRC T-shaped column-steel beam hybrid joints under low cyclic reversed loads. Considering different categories of steel configuration types in column cross section and horizontal loading angles for the specimens were selected, and a reliable structural testing system for the spatial loading was employed in the tests. The load-displacement curves, carrying capacity, energy dissipation capacity, ductility and deformation characteristics of the test subassemblies were analyzed. Especially, the seismic performance discrepancies between planar hybrid joints and 3D hybrid joints were intensively compared. The failure modes for planar loading and spatial loading observed in the tests showed that the shear-diagonal compressive failure was the dominating failure mode for all the specimens. In addition, the 3D hybrid joints illustrated plumper hysteretic loops for the columns configured with solid-web steel, but a little more pinched hysteretic loops for the columns configured with T-shaped steel or channel-shaped steel, better energy dissipation capacity & ductility, and larger interlayer deformation capacity than those of the planar hybrid joints. Furthermore, it was revealed that the hysteretic loops for the specimens under $45^{\circ}$ loading angle are generally plumper than those for the specimens under $30^{\circ}$ loading angle. Finally, the effects of steel configuration type and loading angle on the seismic damage for the specimens were analyzed by means of the Park-Ang model.

• Steel and Composite Structures
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• 제19권2호
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• pp.369-384
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• 2015

This work presents a free vibration analysis of functionally graded metal-ceramic (FG) beams with considering porosities that may possibly occur inside the functionally graded materials (FGMs) during their fabrication. For this purpose, a simple displacement field based on higher order shear deformation theory is implemented. The proposed theory is based on the assumption that the transverse displacements consist of bending and shear components in which the bending components do not contribute toward shear forces and, likewise, the shear components do not contribute toward bending moments. The most interesting feature of this theory is that it accounts for a quadratic variation of the transverse shear strains across the thickness, and satisfies the zero traction boundary conditions on the top and bottom surfaces of the beam without using shear correction factors. In addition, it has strong similarities with Euler-Bernoulli beam theory in some aspects such as equations of motion, boundary conditions, and stress resultant expressions. The rule of mixture is modified to describe and approximate material properties of the FG beams with porosity phases. By employing the Hamilton's principle, governing equations of motion for coupled axial-shear-flexural response are determined. The validity of the present theory is investigated by comparing some of the present results with those of the first-order and the other higher-order theories reported in the literature. Illustrative examples are given also to show the effects of varying gradients, porosity volume fraction, aspect ratios, and thickness to length ratios on the free vibration of the FG beams.

• Steel and Composite Structures
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• 제39권1호
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• pp.95-107
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• 2021

In this work, the dynamic response of functionally graded beams on variable elastic foundations is studied using a novel higher-order shear deformation theory (HSDT). Unlike the conventional HSDT, the present one has a new displacement field which introduces undetermined integral variables. The FG beams were assumed to be supported on Winkler-Pasternak type foundations in which the Winkler modulus is supposed to be variable in the length of the beam. The variable rigidity of the elastic foundation is assumed to be linear, parabolic and sinusoidal along the length of the beam. The material properties of the FG porous beam vary according to a power law distribution in terms of the volume fraction of the constituents. The equations of motion are determined using the virtual working principle. For the analytical solution, Navier method is used to solve the governing equations for simply supported porous FG beams. Numerical results of the present theory for the free vibration of FG beams resting on elastic foundations are presented and compared to existing solutions in the literature. A parametric study will be detailed to investigate the effects of several parameters such as gradient index, thickness ratio, porosity factor and foundation parameters on the frequency response of porous FG beams.

• Structural Engineering and Mechanics
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• 제86권3호
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• pp.291-309
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• 2023

This paper addresses the finite element modeling of functionally graded porous (FGP) beams for free vibration and buckling behaviour cases. The formulated finite element is based on simple and efficient higher order shear deformation theory. The key feature of this formulation is that it deals with Euler-Bernoulli beam theory with only three unknowns without requiring any shear correction factor. In fact, the presented two-noded beam element has three degrees of freedom per node, and the discrete model guarantees the interelement continuity by using both C⁰ and C¹ continuities for the displacement field and its first derivative shape functions, respectively. The weak form of the governing equations is obtained from the Hamilton principle of FGP beams to generate the elementary stiffness, geometric, and mass matrices. By deploying the isoparametric coordinate system, the derived elementary matrices are computed using the Gauss quadrature rule. To overcome the shear-locking phenomenon, the reduced integration technique is used for the shear strain energy. Furthermore, the effect of porosity distribution patterns on the free vibration and buckling behaviours of porous functionally graded beams in various parameters is investigated. The obtained results extend and improve those predicted previously by alternative existing theories, in which significant parameters such as material distribution, geometrical configuration, boundary conditions, and porosity distributions are considered and discussed in detailed numerical comparisons. Determining the impacts of these parameters on natural frequencies and critical buckling loads play an essential role in the manufacturing process of such materials and their related mechanical modeling in aerospace, nuclear, civil, and other structures.

• Computers and Concrete
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• 제30권5호
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• pp.311-321
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• 2022

The interfacial bond strength of partially encased composite (PEC) structure tends to 0, therefore, the cast-in-place concrete theoretically cannot embody better composite effect than the fabricated structure. A total of 12 specimens were designed and experimented to investigate the energy dissipation and damage of fabricated PEC beam through unidirectional cyclic loading test. Because the concrete on both sides of the web was relatively independent, some specimens showed obvious asymmetric concrete damage, which led to specimens bearing torsion effect at the later stage of loading. Based on the concept of the ideal elastoplastic model of uniaxial tensile steel and the principle of equivalent energy dissipation, the energy dissipation ductility coefficient is proposed, which can simultaneously reflect the deformability and bearing capacity. In view of the whole deformation of the beam, the calculation formula of energy dissipation is put forward, and the energy dissipation and its proportion of shear-bending region and pure bending region are calculated respectively. The energy dissipation efficiency of the pure bending region is significantly higher than that of the shear-bending region. The setting of the screw arbors is conducive to improving the energy dissipation capacity of the specimens. Under the condition of setting the screw arbors and meeting the reasonable shear span ratio, reducing the concrete pouring thickness can lighten the deadweight of the component and improve the comprehensive benefit, and will not have an adverse impact on the energy dissipation capacity of the beam. A damage model is proposed to quantify the damage changes of PEC beams under cyclic load, which can accurately reflect the load damage and deformation damage.