• 제목/요약/키워드: closed-form solution

검색결과 448건 처리시간 0.031초

Buckling analysis of elastically-restrained steel plates under eccentric compression

  • Qin, Ying;Shu, Gan-Ping;Du, Er-Feng;Lu, Rui-Hua
    • Steel and Composite Structures
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    • 제29권3호
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    • pp.379-389
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    • 2018
  • In this research, the explicit closed-form local buckling solution of steel plates in contact with concrete, with both loaded and unloaded edges elastically restrained against rotation and subjected to eccentric compression is presented. The Rayleigh-Rize approach is applied to establish the eigenvalue problem for the local buckling performance. Buckling shape which combines trigonometric and biquadratic functions is introduced according to that used by Qin et al. (2017) on steel plate buckling under uniform compression. Explicit solutions for predicting the local buckling stress of steel plate are obtained in terms of the rotational stiffness. Based on different boundary conditions, simply yet explicit local buckling solutions are discussed in details. The proposed formulas are validated against previous research and finite element results. The influences of the loading stress gradient parameter, the aspect ratio, and the rotational stiffness on the local buckling stress resultants of steel plates with different boundary conditions were evaluated. This work can be considered as an alternative to apply a different buckling shape function to study the buckling problem of steel plate under eccentric compression comparing to the work by Qin et al. (2018), and the results are found to be in consistent with those in Qin et al. (2018).

Modelling of tension-stiffening in bending RC elements based on equivalent stiffness of the rebar

  • Torres, Lluis;Barris, Cristina;Kaklauskas, Gintaris;Gribniak, Viktor
    • Structural Engineering and Mechanics
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    • 제53권5호
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    • pp.997-1016
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    • 2015
  • The contribution of tensioned concrete between cracks (tension-stiffening) cannot be ignored when analysing deformation of reinforced concrete elements. The tension-stiffening effect is crucial when it comes to adequately estimating the load-deformation response of steel reinforced concrete and the more recently appeared fibre reinforced polymer (FRP) reinforced concrete. This paper presents a unified methodology for numerical modelling of the tension-stiffening effect in steel as well as FRP reinforced flexural members using the concept of equivalent deformation modulus and the smeared crack approach to obtain a modified stress-strain relation of the reinforcement. A closed-form solution for the equivalent secant modulus of deformation of the tensioned reinforcement is proposed for rectangular sections taking the Eurocode 2 curvature prediction technique as the reference. Using equations based on general principles of structural mechanics, the main influencing parameters are obtained. It is found that the ratio between the equivalent stiffness and the initial stiffness basically depends on the product of the modular ratio and reinforcement ratio ($n{\rho}$), the effective-to-total depth ratio (d/h), and the level of loading. The proposed methodology is adequate for numerical modelling of tension-stiffening for different FRP and steel reinforcement, under both service and ultimate conditions. Comparison of the predicted and experimental data obtained by the authors indicates that the proposed methodology is capable to adequately model the tension-stiffening effect in beams reinforced with FRP or steel bars within wide range of loading.

전슬관절치환술을 위한 3차원 영역기반 영상정합 기술 (Region-Based 3D Image Registration Technique for TKR)

  • 기재홍;서덕찬;박흥석;윤인찬;이문규;유선국;최귀원
    • 대한의용생체공학회:의공학회지
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    • 제27권6호
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    • pp.392-401
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    • 2006
  • Image Guided Surgery (IGS) system which has variously tried in medical engineering fields is able to give a surgeon objective information of operation process like decision making and surgical planning. This information is displayed through 3D images which are acquired from image modalities like CT and MRI for pre-operation. The technique of image registration is necessary to construct IGS system. Image registration means that 3D model and the object operated by a surgeon are matched on the common frame. Major techniques of registration in IGS system have been used by recognizing fiducial markers placed on the object. However, this method has been criticized due to additional trauma, its invasive protocol inserting fiducial markers in patient's bone and generating noise data when 2D slice images are acquired by image modality because many markers are made of metal. Therefore, this paper developed shape-based registration technique to improve the limitation of fiducial marker based IGS system. Iterative Closest Points (ICP) algorithm was used to match corresponding points and quaternion based rotation and translation transformation using closed form solution applied to find the optimized cost function of transformation. we assumed that this algorithm were used in Total Knee replacement (TKR) operation. Accordingly, we have developed region-based 3D registration technique based on anatomical landmarks and this registration algorithm was evaluated in a femur model. It was found that region-based algorithm can improve the accuracy in 3D registration.

The Coexistence of OFDM-Based Systems Beyond 3G with Fixed Service Microwave Systems

  • Jo Han-Shin;Yoon Hyun-Goo;Lim Jae-Woo;Chung Woo-Ghee;Yook Jong-Gwan;Park Han-Kyu
    • Journal of Communications and Networks
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    • 제8권2호
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    • pp.187-193
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    • 2006
  • In this paper, we study the coexistence of orthogonal frequency division multiplexing (OFDM)-based systems beyond 3G (B3G) and point-to-point (P-P) fixed service (FS) microwave systems. The advanced general analytical model derived via a power spectral density (PSD) analysis proposed in this paper has two advantages in comparison with the conventional minimum coupling loss (MCL) method. First, the interfering signal power that appears in the band of a victim system can be easily assessed without a spectrum emission mask. Second, when transmit power is not allocated to some subcarriers overlapping the band of the victim system in order to mitigate B3G OFDM-based systems interference with other systems, the general analytical model can successfully assess the interference from the B3G systems into FS systems, whereas the MCL method incorporating the spectrum emission mask cannot be applied in the presence of the same interference condition. The proposed model can be derived in a closed form and is simply implemented with the help of simulation, and thus the solution can be obtained in significantly reduced time. Through application of the proposed model, coexistence results are analyzed in a co-channel and adjacent channel with respect to guard band and minimum separation distance.

강판형교 바닥판 모멘트의 해석기법 (Analytical Method for Bending Moment of Slab-on-Steel-Girder Bridge)

  • 박남회;최진유;유철수;강영종
    • 한국강구조학회 논문집
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    • 제12권1호통권44호
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    • pp.17-28
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    • 2000
  • 현재 현장에서 건설되어지는 콘크리트교량의 바닥판은 상부와 하부에 동일한 철근을 배근한다. 바닥판 상부철근의 부분적인 제거는 구조적인 측면에서 볼 때, 안전성을 위협하지 않는다는 경험적인 연구 결과들이 발표되어왔다. 판이론에 근거하여 강판형교의 3거더와 4거더시 바닥판의 구조적인 거동을 수식적으로 표현하는 간략화 된 방법을 유도하였다. 거더간 상대처짐을 고려한 간략화 된 방법은 유한요소해석의 결과치와 유사한 값을 얻을 수 있었다. 본 연구에서는, 바닥판 슬래브의 새로운 설계개념이 간략화 된 방법을 통해서 제안되었다. 간략화 된 방법의 변수는 하중위치, 형상비, 상대강성비 그리고 지간 길이 등을 선정하였다. 이 새로운 설계접근방법은 바닥판 상부 철근량을 감소시켜줄 것이다. 바닥판 상부 철근량의 감소는 건설비용의 감소와 철근의 부식문제를 최소화 시켜줄 수 있을 것이다.

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램버트 W 함수를 사용한 라플라스 신호의 최소 평균제곱오차 양자화 (The Lambert W Function in the Design of Minimum Mean Square-Error Quantizers for a Laplacian Source)

  • 송현정;나상신
    • 한국통신학회논문지
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    • 제27권6A호
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    • pp.524-532
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    • 2002
  • 이 논문은, 램버트 W 함수가 라플라스 신호원에 대한 최적 (최소평균제곱오차) 양자기의 비반복적 설계에 이용될 수 있다는 사실을 보고한다. 구체적으로, 라플라스 신호원에 최적인 양자기의 비반복적 설계법을 고찰하며, 설계에 필수적인 비선형 방정식의 점화식의 풀이가 램버트 W 함수를 사용한 닫힌 식으로 표현된다는 것을 발견하였고, 또 이 논문에서는 이 설계법이 지수함수 형태나 라플라스 확률밀도함수 형태를 갖는 신호원에만 적용된다는 것을 증명하였다. 이 논문의 기여점은, 양자기의 설계가 비반복적이며, 원하는 만큼의 정확도로 설계되기 때문에 설계에 필요한 계산 회수가 감소되고, 양자점과 경계값을 구하는데 있어 높은 정확도를 갖는다는 점이다. 또한, 수치결과를 통하여 최적 양자 왜곡이 팬터-다잇 상수에 단조 증기적으로 수렴하는 과정을 관찰하였으며, 최적 양자기의 최외곽 경계값인 중요변수의 근사식을 유도하였다.

Stress analysis of a two-phase composite having a negative-stiffness inclusion in two dimensions

  • Wang, Yun-Che;Ko, Chi-Ching
    • Interaction and multiscale mechanics
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    • 제2권3호
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    • pp.321-332
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    • 2009
  • Recent development in composites containing phase-transforming particles, such as vanadium dioxide or barium titanate, reveals the overall stiffness and viscoelastic damping of the composites may be unbounded (Lakes et al. 2001, Jaglinski et al. 2007). Negative stiffness is induced from phase transformation predicted by the Landau phase transformation theory. Although this unbounded phenomenon is theoretically supported with the composite homogenization theory, detailed stress analyses of the composites are still lacking. In this work, we analyze the stress distribution of the Hashin-Shtrikman (HS) composite and its two-dimensional variant, namely a circular inclusion in a square plate, under the assumption that the Young's modulus of the inclusion is negative. Assumption of negative stiffness is a priori in the present analysis. For stress analysis, a closed form solution for the HS model and finite element solutions for the 2D composite are presented. A static loading condition is adopted to estimate the effective modulus of the composites by the ratio of stress to average strain on the loading edges. It is found that the interfacial stresses between the circular inclusion and matrix increase dramatically when the negative stiffness is so tuned that overall stiffness is unbounded. Furthermore, it is found that stress distributions in the inclusion are not uniform, contrary to Eshelby's theorem, which states, for two-phase, infinite composites, the inclusion's stress distribution is uniform when the shape of the inclusion has higher symmetry than an ellipse. The stability of the composites is discussed from the viewpoint of deterioration of perfect interface conditions due to excessive interfacial stresses.

Distribution of shear force in perforated shear connectors

  • Wei, Xing;Shariati, M.;Zandi, Y.;Pei, Shiling;Jin, Zhibin;Gharachurlu, S.;Abdullahi, M.M.;Tahir, M.M.;Khorami, M.
    • Steel and Composite Structures
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    • 제27권3호
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    • pp.389-399
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    • 2018
  • A perforated shear connector group is commonly used to transfer shear in steel-concrete composite structures when the traditional shear stud connection is not strong enough. The multi-hole perforated shear connector demonstrates a more complicated behavior than the single connector. The internal force distribution in a specific multi-hole perforated shear connector group has not been thoroughly studied. This study focuses on the load-carrying capacity and shear force distribution of multi-hole perforated shear connectors in steel-concrete composite structures. ANSYS is used to develop a three-dimensional finite element model to simulate the behavior of multi-hole perforated connectors. Material and geometric nonlinearities are considered in the model to identify the failure modes, ultimate strength, and load-slip behavior of the connection. A three-layer model is introduced and a closed-form solution for the shear force distribution is developed to facilitate design calculations. The shear force distribution curve of the multi-hole shear connector is catenary, and the efficiency coefficient must be considered in different limit states.

Influence of boundary conditions on the bending and free vibration behavior of FGM sandwich plates using a four-unknown refined integral plate theory

  • Rahmani, Mohammed Cherif;Kaci, Abdelhakim;Bousahla, Abdelmoumen Anis;Bourada, Fouad;Tounsi, Abdeldjebbar;Bedia, E.A. Adda;Mahmoud, S.R.;Benrahou, Kouider Halim;Tounsi, Abdelouahed
    • Computers and Concrete
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    • 제25권3호
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    • pp.225-244
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    • 2020
  • The influence of boundary conditions on the bending and free vibration behavior of functionally graded sandwich plates resting on a two-parameter elastic foundation is examined using an original novel high order shear theory. The Hamilton's principle is used herein to derive the equations of motion. The number of unknowns and governing equations of the present theory is reduced, and hence makes it simple to use. This theory includes indeterminate integral variables and contains only four unknowns in which any shear correction factor not used, with even less than the conventional theory of first shear strain (FSDT). Unlike any other theory, the number of unknown functions involved in displacement field is only four, as against five, six or more in the case of other shear deformation theories. Galerkin's approach is utilized for FGM sandwich plates with six different boundary conditions. The accuracy of the proposed solution is checked by comparing it with other closed form solutions available in the literature.

B2B 거래 기반의 소셜커머스 모델 소개 (Proposal of social commerce model for B2B)

  • 유순덕;김정일
    • 한국인터넷방송통신학회논문지
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    • 제12권6호
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    • pp.207-213
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    • 2012
  • B2C형 소셜커머스는 IT기술 발달과 폐쇄형 거래형태를 개방형 형태로 변화하고 있으며 또한 중간유통을 획기적으로 줄임으로써 소비자에게 유통비용을 제거하여 파격적인 가격에 상품을 제공하고 있다. 시대의 흐름에 따라 기업 간 거래에서는 수많은 유통 채널을 통해 PRM(Product Relationship Management) 관리의 어려움과 신속하게 새로운 제품을 홍보하고 관리하는데 상대적으로 어려움을 겪고 있다. 제품을 유통 및 소비하는 기업들을 한곳에 모을 수 있는 플랫폼 제공을 통하여 B2C 기반의 소셜커머스를 롤 모델로 하여 운영 할 수 있는 플랫폼 제공이 필요하다. 또한 B2C 기반의 소셜커머스와 달리 B2B의 경우는 구매에 따른 결제 대금을 일시불로 지급하지 않고 할부 등 기간을 두고 지불하는 결제 시스템연동이 필수적인 요소이다. 본 연구에서 소개하는 B2B 거래를 위한 소셜커머스는 B2B 거래의 문제점을 해결하고 새로운 시장을 개척하여 효과적인 B2B 거래를 제공하고 관련 산업인 기업 간 전자결제 시장의 확대를 가져올 것이다. 향후 연구 분야는 본 연구에서 제안하는 모델에 대한 실증적 연구를 통해 본 제안 모델이 시장에 정착할 수 있다는 것을 연구하는 것이다.