• 제목/요약/키워드: classical linear connection

검색결과 9건 처리시간 0.021초

Feedback Control for Multidimensional Linear Systems and Interpolation Problems for Multivariable Holomorphic Functions

  • Malakorn, T.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.1847-1852
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    • 2004
  • This article provides the connection between feedback stabilization and interpolation conditions for n-D linear systems (n > 1). In addition to internal stability, if one demands performance as a design goal, then there results an n-D matrix Nevanlinna-Pick interpolation problem. Application of recent work on Nevanlinna-Pick interpolation on the polydisk yields a solution of the problem for the 2-D case. The same analysis applies in the n-D case (n > 2), but leads to solutions which are contractive in a norm (the "Schur-Agler norm") somewhat stronger than the $H^{\infty}$ norm. This is an analogous version of the connection between the standard $H^{\infty}$ control problem and an interpolation problem of Nevanlinna-Pick type in the classical 1-D linear time-invariant systems.

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ON THE HOLONOMIZATION OF SEMIHOLONOMIC JETS

  • MIKULSKI, WLODZIMIERZ M.
    • 대한수학회보
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    • 제52권4호
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    • pp.1365-1373
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    • 2015
  • We find all ${\mathcal{F}}{\mathcal{M}}_m$-natural operators A transforming torsion free classical linear connections ${\nabla}$ on m-manifolds M into base preserving fibred maps $A({\nabla}):{\bar{J}}^rY{\rightarrow}J^rY$ for ${\mathcal{F}}{\mathcal{M}}_m$-objects Y with bases M, where ${\bar{J}}^r$, $J^r$ are the semiholonomic and holonomic jet functors of order r on the category ${\mathcal{F}}{\mathcal{M}}_m$ of fibred manifolds with m-dimensional bases and their fibred maps with embeddings as base maps.

Coupling of nonlinear models for steel-concrete interaction in structural RC joints

  • Dominguez, Norberto;Perez-Mota, Jesus
    • Coupled systems mechanics
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    • 제3권2호
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    • pp.195-211
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    • 2014
  • When strong seismic forces act on reinforced concrete structures, their beam-column connections are very susceptible to damage during the earthquake event. The aim of this numerical work is to evaluate the influence of the internal steel reinforcement array on the nonlinear response of a RC beam-column connection when it is subjected to strong cyclic loading -as a seismic load. For this, two specimens (extracted from an experimental test of 12 RC beam-column connections reported in literature) were modeled in the Finite Element code FEAP considering different stirrup's arrays. In order to evaluate the nonlinear response of the RC beam-column connection, the 2D model takes into account the nonlinear thermodynamic behavior of each component: for concrete, a damage model is used; for steel reinforcement, it is adopted a classical plasticity model; in the case of the steel-concrete bonding, this one is considered perfect without degradation. At the end, we show a comparison between the experimental test's responses and the numerical results, which includes the distribution of shear stresses and damage inside the concrete core of the beam-column connection; in the other hand, the effects on the connection of a low and high state of confinement are analyzed for all cases.

Wooden framed structures with semi-rigid connections: Quantitative approach focused on design needs

  • Santana, C.L.O.;Mascia, N.T.
    • Structural Engineering and Mechanics
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    • 제31권3호
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    • pp.315-331
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    • 2009
  • Mechanical connections are recognized as extremely important elements in the aspect of strength and structural safety. However, classical structural model does not consider the connection stiffness properties, and are based on models with pinned or rigid joints only. In fact, mechanical connections are deformable and behave not linearly, affecting the whole structure and inducing nonlinear behavior as well. The quantification of this effect, however, depends on the description of the working of the connectors and the wood response under embedment. The theoretical modeling of wood structures with semi-rigid connections involves not only the structural analysis, but also the modeling of both single and grouped moment resisting connectors and the study of the wood properties under embedment. The proposal of this paper is to approach these aspects, and to quantitatively study the influence of the moment resistant connection in wooden framed structures. Comparisons between rigid and semi-rigid connections and between linear and nonlinear analysis lead to quantitative results.

Nonlinear Tuned Mass Damper for self-excited oscillations

  • Gattulli, Vincenzo;Di Fabio, Franco;Luongo, Angelo
    • Wind and Structures
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    • 제7권4호
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    • pp.251-264
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    • 2004
  • The effects of a class of nonlinear Tuned Mass Dampers on the aeroelastic behavior of SDOF systems are investigated. Unlike classical linear TMDs, nonlinear constitutive laws of the internal damping acting between the primary oscillator and the TMD are considered, while the elastic properties are keept linear. The perturbative Multiple Scale Method is applied to derive a set of bifurcation equations in the amplitude and phase and a parametric analysis is performed to describe the postcritical scenario of the system. Both cubic- and van der Pol-type dampings are considered and the dependence of the limit-cycle amplitudes on the system parameters is studied. These new results, compared with the previously obtained bifurcation scenario of a SDOF aeroelastic oscillator equipped with a linear TMD, show a detrimental effect on the maximum limit-cycle amplitude reduction of the nonlinear TMD. However, the analyses evidence that in the parameter region away from the perfect tuning condition the nonlinear connection can be used to tune the system with an enhancement of the limit-cycle amplitude reduction.

박물관 관람공간구성의 유형분석에 관한 연구 (A Study on the Typological Analysis of Museum Layouts)

  • 조은실;유재엽;최윤경
    • 한국실내디자인학회논문집
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    • 제23호
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    • pp.100-108
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    • 2000
  • The study intends to systematically arrange and classify the museum layouts in terms of their structure of exhibition space. The exhibition space, here, means the whole area where visitors are allowed to move and visit in museums. Through this, I tied to understand the characteristics and trends comparing and analyzing international and national exhibition space layout, and then grope the standard in case of establishing museum. The first criteria is based on the point of view that the typical museum experience is made in the exhibition space. Accordingly, the exhibition space can be grouped into two categories; one is 'room type' consisting mostly of individual rooms as in classical museums, and the other is 'open plan type' consisting free standing walls as in miesian free plan. The second criteria is dependent on the way how visitors move about in exhibition spaces. In other words, museum layouts can be categorized in terms of mutual connection between individual spaces including exhibition spaces and corridor spaces designated for the purpose of moving. consequently, the layouts can be categorized into five groups such as 'free plan', 'linear type', 'room to room', 'room & corridor' and 'composition type'. The third criteria is about the overall structure of museum layouts including such elements as whether it contains a certain type of central major space or not and whether and how the exhibition spaces are connected to it. By applying these classificatory criteria, the study analyzed and classified 90 sample of museum layouts in order to understand clearly and succintly the spatial characteristics and implications contained in them.

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Shear stiffness of headed studs on structural behaviors of steel-concrete composite girders

  • He, Jun;Lin, Zhaofei;Liu, Yuqing;Xu, Xiaoqing;Xin, Haohui;Wang, Sihao
    • Steel and Composite Structures
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    • 제36권5호
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    • pp.553-568
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    • 2020
  • Steel-concrete composite structures have been extensively used in building, bridges, and other civil engineering infrastructure. Shear stud connectors between steel and concrete are essential in composite members to guarantee the effectiveness of their behavior in terms of strength and deformability. This study focuses on investigating the shear stiffness of headed studs embedded in several types of concrete with wide range of compressive strength, and their effects on the elastic behavior of steel-concrete composite girders were evaluated. Firstly, totally 206 monotonic push-out tests from the literature were reviewed to investigate the shear stiffness of headed studs embedded in various types of concrete (NC, HPC, UHPC etc.). Shear stiffness of studs is defined as the secant stiffness of the load-slip curve at 0.5Vu, and a formulation for predicting defined shear stiffness in elastic state was proposed, indicating that the stud diameter and the elastic modulus of steel and concrete are the main factors. And the shear stiffness predicted by the new formula agree well with test results for studs with a diameter ranging from 10 to 30 mm in the concrete with compressive strength ranging from 22.0 to 200.0MPa. Then, the effects of shear stiffness on the elastic behaviors of composite girders with different sizes and under different loading conditions were analyzed, the equations for calculating the stress and deformation of simply supported composite girders considering the influence of connection's shear stiffness were derived under different loading conditions using classical linear partial-interaction theory. As the increasing of shear stiffness, the stress and deflection at the most unfavorable section under partial connected condition tend to be those under full connected condition, but the approaching speed decreases gradually. Finally, the connector's shear stiffness was recommended for fully connection in composite girders with different dimensions under different loading conditions. The findings from present study may provide a reference for the prediction of shear stiffness for headed studs and the elastic design of steel-concrete composite girder.

실제 구조계의 유한요소법에 기초한 지진 신뢰성해석 (FEM-based Seismic Reliability Analysis of Real Structural Systems)

  • 허정원
    • 한국전산구조공학회논문집
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    • 제19권2호
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    • pp.171-185
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    • 2006
  • 응답면기법, 유한요소법, 일차신뢰도법 그리고 반복 선형보간기법을 합리적으로 결합한 정교한 신뢰성해석 기법이 지진하중을 포함하는 단기 동적하중을 받는 복잡한 실제 비선형 동적구조계의 신뢰성 평가를 위하여 제안되었다. 기법은 하중 및 저항과 관련된 랜덤변수의 비선형성과 불확실성의 모든 중요 원천을 명시적으로 고려한다. 본 기법의 특징은 전통적 랜덤진동방법의 대안으로서 지진하중을 시간영역에서 적용하는 것이다. 실제 강프레임의 연결부에 대한 유연성을 표현하기 위하여 4-매개변수 리차드 모델을 사용하였다. 리차드 매개변수의 불확실성에 대한 고려도 알고리즘에 포함하였다. 다음으로 횡방향으로 유연한 강프레임을 철근콘크리트 전단벽으로 보강하였다. 균열 발생 후 전단벽에서의 강도저감 또한 고려되었다. 강절 연결부를 갖는 횡방향으로 유연한 강프레임, 각기 다른 강성의 부분강절 연결부를 갖는 강프레임, 그리고 콘크리트 전단벽으로 보강된 강프레임의 세 구조물을 고려함으로써 실제 구조물의 신뢰성평가를 위한 기법의 적용성을 검증하였다.

주성분분석을 이용한 토끼 망막 신경절세포의 활동전위 파형 분류 (PCA­based Waveform Classification of Rabbit Retinal Ganglion Cell Activity)

  • 진계환;조현숙;이태수;구용숙
    • 한국의학물리학회지:의학물리
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    • 제14권4호
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    • pp.211-217
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    • 2003
  • 주성분분석은 잘 알려진 데이터 분석 방법으로써 높은 차원의 데이터를 낮은 차원의 데이터로 표현하는데 효과적이어서 얼굴인식, 데이터 압축 등에 이용되고 있다. 주성분분석을 하게 되면 원 데이터의 공분산 행렬로부터 정규직교한 고유벡터와 해당하는 고유치를 얻게 되고 그 중 큰 값을 가지는 고유벡터 들을 선택하여 선형 변환함으로써 데이터의 차원을 줄일 수 있게 된다. 망막에 빛 자극이 인가되면 시세포 층에서 전기신호로 변환된 후 복잡한 신경회로를 거쳐 최종적으로 신경절세포 층에서 활동전위의 형태로 출력되게 된다. 본 연구에서는 다채널전극을 사용하여 여러 개 망막 신경절세포로부터 유래되는 활동전위를 기록한 후 개개의 신호를 구분하는 과정을 거치고, 이어서 그 신호를 만들어 내는 각 뉴론들끼리의 시간적, 공간적 흥분발사 패턴을 이해함으로써 궁극적으로 시각정보 인코딩 기전을 밝히려는 연구 목표하에 그 첫 단계로서 망막 신경절세포의 활동전위를 기록한 후 분류하는 과정을 성공적으로 수행하였기에 그 내용을 서술하고자 한다. 망막에서 기록되는 신경절세포 활동전위는 불규칙하고 확률적이기 때문에 주성분분석을 통하여 그 유형을 분류할 수 있었다. 토끼 눈으로부터 망막을 박리하여 망막조각을 얻은 후 신경절세포 층이 전극표면을 향하도록 전극에 부착하였다. 8${\times}$8의 microelectrode array (MEA)를 전극으로 사용하였고, 증폭기는 MEA 60 system을 사용하여 신경절세포 활동전위를 기록하였다. 활동전위 기록 후 파형 분류를 하였다. 잡음이 섞여있는 기록으로부터 신호를 검출하기 위하여, 잡음역치($\pm$3$\sigma$)를 설정하였다. 역치를 넘는 파형 만을 획득한 후 주성분분석을 통해 각 파형의 첫 번째 주성분, 두 번째 주성분을 계산하여 2차원 평면에 투사함으로써 몇 개의 의미있는 클러스터를 얻었다. 이 클러스터는 곧 각 신경절세포에서 유래되는 파형을 반영하므로 주성분분석을 통하여 망막 신경절세포의 활동전위를 각 세포별로 분류할 수 있음을 확인하였다.

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