• 제목/요약/키워드: Subspace

검색결과 741건 처리시간 0.022초

Multi-constrained optimization combining ARMAX with differential search for damage assessment

  • K, Lakshmi;A, Rama Mohan Rao
    • Structural Engineering and Mechanics
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    • 제72권6호
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    • pp.689-712
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    • 2019
  • Time-series models like AR-ARX and ARMAX, provide a robust way to capture the dynamic properties of structures, and their residuals can be effectively used as features for damage detection. Even though several research papers discuss the implementation of AR-ARX and ARMAX models for damage diagnosis, they are basically been exploited so far for detecting the time instant of damage and also the spatial location of the damage. However, the inverse problem associated with damage quantification i.e. extent of damage using time series models is not been reported in the literature. In this paper, an approach to detect the extent of damage by combining the ARMAX model by formulating the inverse problem as a multi-constrained optimization problem and solving using a newly developed hybrid adaptive differential search with dynamic interaction is presented. The proposed variant of the differential search technique employs small multiple populations which perform the search independently and exchange the information with the dynamic neighborhood. The adaptive features and local search ability features are built into the algorithm in order to improve the convergence characteristics and also the overall performance of the technique. The multi-constrained optimization formulations of the inverse problem, associated with damage quantification using time series models, attempted here for the first time, can considerably improve the robustness of the search process. Numerical simulation studies have been carried out by considering three numerical examples to demonstrate the effectiveness of the proposed technique in robustly identifying the extent of the damage. Issues related to modeling errors and also measurement noise are also addressed in this paper.

ULTRAPRODUCTS OF LOCALLY CONVEX SPACES

  • Kang, Si-Ho
    • 대한수학회보
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    • 제27권2호
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    • pp.189-196
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    • 1990
  • In this paper, we try to generalize ultraproducts in the category of locally convex spaces. To do so, we introduce D-ultracolimits. It is known [7] that the topology on a non-trivial ultraproduct in the category T $V^{ec}$ of topological vector spaces and continuous linear maps is trivial. To generalize the category Ba $n_{1}$ of Banach spaces and linear contractions, we introduce the category L $C_{1}$ of vector spaces endowed with families of semi-norms closed underfinite joints and linear contractions (see Definition 1.1) and its subcategory, L $C_{2}$ determined by Hausdorff objects of L $C_{1}$. It is shown that L $C_{1}$ contains the category LC of locally convex spaces and continuous linear maps as a coreflective subcategory and that L $C_{2}$ contains the category Nor $m_{1}$ of normed linear spaces and linear contractions as a coreflective subcategory. Thus L $C_{1}$ is a suitable category for the study of locally convex spaces. In L $C_{2}$, we introduce $l_{\infty}$(I. $E_{i}$ ) for a family ( $E_{i}$ )$_{i.mem.I}$ of objects in L $C_{2}$ and then for an ultrafilter u on I. we have a closed subspace $N_{u}$ . Using this, we construct ultraproducts in L $C_{2}$. Using the relationship between Nor $m_{1}$ and L $C_{2}$ and that between Nor $m_{1}$ and Ba $n_{1}$, we show thatour ultraproducts in Nor $m_{1}$ and Ba $n_{1}$ are exactly those in the literatures. For the terminology, we refer to [6] for the category theory and to [8] for ultraproducts in Ba $n_{1}$..

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THE NAVIER-STOKES EQUATIONS WITH INITIAL VALUES IN BESOV SPACES OF TYPE B-1+3/qq,

  • Farwig, Reinhard;Giga, Yoshikazu;Hsu, Pen-Yuan
    • 대한수학회지
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    • 제54권5호
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    • pp.1483-1504
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    • 2017
  • We consider weak solutions of the instationary Navier-Stokes system in a smooth bounded domain ${\Omega}{\subset}{\mathbb{R}}^3$ with initial value $u_0{\in}L^2_{\sigma}({\Omega})$. It is known that a weak solution is a local strong solution in the sense of Serrin if $u_0$ satisfies the optimal initial value condition $u_0{\in}B^{-1+3/q}_{q,s_q}$ with Serrin exponents $s_q$ > 2, q > 3 such that ${\frac{2}{s_q}}+{\frac{3}{q}}=1$. This result has recently been generalized by the authors to weighted Serrin conditions such that u is contained in the weighted Serrin class ${{\int}_0^T}({\tau}^{\alpha}{\parallel}u({\tau}){\parallel}_q)^s$ $d{\tau}$ < ${\infty}$ with ${\frac{2}{s}}+{\frac{3}{q}}=1-2{\alpha}$, 0 < ${\alpha}$ < ${\frac{1}{2}}$. This regularity is guaranteed if and only if $u_0$ is contained in the Besov space $B^{-1+3/q}_{q,s}$. In this article we consider the limit case of initial values in the Besov space $B^{-1+3/q}_{q,{\infty}}$ and in its subspace ${{\circ}\atop{B}}^{-1+3/q}_{q,{\infty}}$ based on the continuous interpolation functor. Special emphasis is put on questions of uniqueness within the class of weak solutions.

Instrumentation and system identification of a typical school building in Istanbul

  • Bakir, Pelin Gundes
    • Structural Engineering and Mechanics
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    • 제43권2호
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    • pp.179-197
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    • 2012
  • This study presents the findings of the structural health monitoring and the real time system identification of one of the first large scale building instrumentations in Turkey for earthquake safety. Within this context, a thorough review of steps in the instrumentation, monitoring is presented and seismic performance evaluation of structures using both nonlinear pushover and nonlinear dynamic time history analysis is carried out. The sensor locations are determined using the optimal sensor placement techniques used in NASA for on orbit modal identification of large space structures. System identification is carried out via the stochastic subspace technique. The results of the study show that under ambient vibrations, stocky buildings can be substantially stiffer than what is predicted by the finite element models due to the presence of a large number of partitioning walls. However, in a severe earthquake, it will not be safe to rely on this resistance due to the fact that once the partitioning walls crack, the bare frame contributes to the lateral stiffness of the building alone. Consequently, the periods obtained from system identification will be closer to those obtained from the FE analysis. A technique to control the validity of the proportional damping assumption is employed that checks the presence of phase difference in displacements of different stories obtained from band pass filtered records and it is confirmed that the "proportional damping assumption" is valid for this structure. Two different techniques are implemented for identifying the influence of the soil structure interaction. The first technique uses the transfer function between the roof and the basement in both directions. The second technique uses a pre-whitening filter on the data obtained from both the basement and the roof. Subsequently the impulse response function is computed from the scaled cross correlation between the input and the output. The overall results showed that the structure will satisfy the life safety performance level in a future earthquake but some soil structure interaction effects should be expected in the North South direction.

셀룰라 이동통신 채널에서 비선형 등화기를 이용한 최적의 데이터 복원 (Optimization of Data Recovery using Non-Linear Equalizer in Cellular Mobile Channel)

  • 최상호;호광춘;김영권
    • 전기전자학회논문지
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    • 제5권1호
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    • pp.1-7
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    • 2001
  • 본 논문에서 역 방향 링크 채널에 대해 비 선형 등화기를 이용하여 CDMA 셀룰라 시스템을 연구하였다. 일반적으로 무선 통신에서 불확실한 채널 특성 때문에 Observable 들의 확률분포는 유한 세트의 파라미터로 규정될 수 없다. 대신에 training 샘플에 기반을 둔 Quantile과 Vector Quantizer를 사용함으로서 유한 수의 disjoint된 영역으로 m차 샘플 공간으로 분할하였다. 제안된 알고리듬은 RMSA 알고리즘에 의해 예측된 Quantile와 조건부 분할 모멘트에 따른 regression function의 부분적인 근사에 근간을 두고 있다. 본 논문의 등화기와 검출기는 잡음 분포의 Variation에 민감하지 않다는 관점에서 상당히 강한 특성을 보여 준다. 주요 아이디어는 Robust equalizer와 Robust partition detector가 어떤 환경의 무선 채널 하에서도 partition되지 않은 Observation space의 일반적인 등화기 보다 Observation의 등 확률로 분할된 부 공간에서 더 낳은 성능을 보여 준다. 또한 이런 개념을 CDMA 시스템에 적용하여 BER 성능을 분석하였다.

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효율적인 방위각 이노베이션 계산식을 가진 수정된 다중표적 방위각 추적 알고리즘 (Modified Multiple Target Angle Tracking Algorithm with Efficient Equation for Angular Innovation)

  • 류창수
    • 전자공학회논문지 IE
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    • 제48권1호
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    • pp.25-29
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    • 2011
  • Ryu 등은 방위각 이노베이션을 효율적으로 구할 수 있는 계산식을 가진 다중표적 방위각 추적 알고리즘을 제안하였으며, 이 알고리즘은 데이터연관 문제가 발생하지 않는다는 장점을 가지고 있다. Ryu 알고리즘의 효율적인 방위각 이노베이션 계산식은 선배열센서를 사용하는 경우에 대하여 유도하였기 때문에, Ryu 알고리즘은 선배열센서에만 적용이 가능하다. 다중표적 방위각 추적 문제를 연구하는 많은 분야에서 다양한 형태의 배열센서를 사용하고 있다. 특히, 소나(Sonar)에서는 선배열센서 뿐만 아니라 원통형 배열센서도 많이 사용되고 있으며, 원통형 배열센서를 사용하는 대표적인 소나로 선체고정형 소나(Hull Mounted Sonar)가 있다. 본 논문에서 Ryu의 다중표적 방위각 추적 알고리즘을 원통형 배열센서에 적용할 수 있도록 수정하고, 다양한 컴퓨터 시뮬레이션을 통해서 수정된 알고리즘의 추적성능을 확인한다.

진동시험을 이용한 원자력발전소 캐비닛 구조의 지진응답예측기법 (Seismic Response Prediction Method of Cabinet Structures in a Nuclear Power Plant Using Vibration Tests)

  • 구기영;취진타오;조성국;김두기
    • 한국지진공학회논문집
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    • 제12권5호
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    • pp.57-63
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    • 2008
  • 본 연구는 원자력발전소에 설치되는 캐비닛형 전기기기의 동적 진동시험 자료를 이용하여 캐비닛의 지진응답을 예측할 수 있는 기법을 제안하였다. 제안된 기법은 1) 절점질량 이상화 모델에 기반한 등가 지진하중 산정, 2) 진동시험자료에 기반한 캐비닛 구조의 입출력 상태방정식 규명, 3) 산정된 등가지진하중과 규명된 입출력 상태방정식을 사용한 지진응답산정의 과정으로 구성된다. 제안된 기법은 유한요소기법(FEM) 모델 개선(Model Updating)에 기반한 지진응답예측기법에 비하여 모델링 오차가 개입 되지 않는 장점을 가진다. 캐비넷 구조를 이상화한 2차원 프레임 모델과 3차원 상세 모델에 대한 수치검증을 통하여 제안된 기법이 지진응답을 매우 정확하게 예측을 함을 관찰하였고, 측정 노이즈에 대해서도 강인함을 관찰하였다. 추후연구로 실험검증이 요구된다.

부분공간 기반 특징 추출기의 조명 변인에 대한 얼굴인식 성능 분석 (Face Recognition Evaluation of an Illumination Property of Subspace Based Feature Extractor)

  • 김광수;부덕희;안정호;곽수영;변혜란
    • 한국정보과학회논문지:소프트웨어및응용
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    • 제34권7호
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    • pp.681-687
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    • 2007
  • 오늘날 개인의 정보 보호 및 신분 확인을 위하여 생체 인식 분야 중에서 사람의 얼굴 인식기술이 많이 사용되고 있지만 조명, 자세, 표정 변화로 인하여 얼굴 인식의 성능 저하를 일으키는 문제가 있다. 본 논문에서는 얼굴 인식 결과에 큰 영향을 주는 요소인 조명 변화에 초점을 맞춰 D-LDA(Direct-Linear Disciminant Analysis)가 다른 기법들에 비해 덜 민감하게 수행할 수 있는 성질을 지녔음을 밝히 고자 한다. 측면광과 역광등의 조명 변화와 농도의 변화를 고려하여 조명 변화를 갖는 테스트를 갖는 ORL, Yale, 포항공대 데이타베이스를 여러 특징 추출 알고리즘에 적용함으로써 클래스, 학습 데이타 그리고 테스트 데이타 수가 각기 다른 세 종류의 데이타베이스에서 모두 D-LDA가 적은 학습 데이터에서도 조명 변인에 가장 덜 민감하게 반응하는 좋은 인식 성능을 갖는 성질을 지녔음을 보여준다.

Structural health monitoring of a cable-stayed bridge using wireless smart sensor technology: data analyses

  • Cho, Soojin;Jo, Hongki;Jang, Shinae;Park, Jongwoong;Jung, Hyung-Jo;Yun, Chung-Bang;Spencer, Billie F. Jr.;Seo, Ju-Won
    • Smart Structures and Systems
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    • 제6권5_6호
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    • pp.461-480
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    • 2010
  • This paper analyses the data collected from the $2^{nd}$ Jindo Bridge, a cable-stayed bridge in Korea that is a structural health monitoring (SHM) international test bed for advanced wireless smart sensors network (WSSN) technology. The SHM system consists of a total of 70 wireless smart sensor nodes deployed underneath of the deck, on the pylons, and on the cables to capture the vibration of the bridge excited by traffic and environmental loadings. Analysis of the data is performed in both the time and frequency domains. Modal properties of the bridge are identified using the frequency domain decomposition and the stochastic subspace identification methods based on the output-only measurements, and the results are compared with those obtained from a detailed finite element model. Tension forces for the 10 instrumented stay cables are also estimated from the ambient acceleration data and compared both with those from the initial design and with those obtained during two previous regular inspections. The results of the data analyses demonstrate that the WSSN-based SHM system performs effectively for this cable-stayed bridge, giving direct access to the physical status of the bridge.

Uncontrolled Manifold Analysis of Whole Body CoM of the Elderly: The Effect of Training using the Core Exercise Equipment

  • Park, Da Won;Koh, Kyung;Park, Yang Sun;Shim, Jae Kun
    • 한국운동역학회지
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    • 제28권4호
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    • pp.213-218
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    • 2018
  • Objective: The purpose of this study was to examine the effect of the core muscle strength enhancement of the elderly on 8 weeks training using the core exercise equipment for the elderly on the ability to control the whole-body center of mass in posture stabilization. Method: 16 females (10 exercise group, 6 control group) participated in this study. Exercise group took part in the core strength training program for 8 weeks with total of 16 repetitions (2 repetitions per week) using a training device. External perturbation during standing as pulling force applied at the pelvic level in the anterior direction was provided to the subject. In a UCM model, the controller selects within the space of elemental variables a subspace (a manifold, UCM) corresponding to a value of a performance variable that needs to be stabilized. In the present study, we were interested in how movements of the individual segment center of mass (elemental variables) affect the whole-body center of mass (the performance variable) during balance control. Results: At the variance of task-irrelevant space, there was significant $test^*$ group interactions ($F_{1,16}=7.482$, p<.05). However, there were no significant main effect of the test ($F_{1,16}=.899$, p>.05) and group ($F_{1,16}=1.039$, p>.05). At the variance of task-relevant space, there was significant $test^*$ group interactions ($F_{1,16}=7.382$, p<.05). However, there were no significant main effect of the test ($F_{1,16}=.754$, p>.05) and group ($F_{1,16}=1.106$, p>.05). Conclusion: The results of this study showed that the 8 weeks training through the core training equipment for the elderly showed a significant decrease in the $Vcm_{TIR}$ and $Vcm_{TR}$. This result indicates that the core strength training affects the trunk stiffness control strategy to maintain balance in the standing position by minimizing total variability of individual segment CMs.