• 제목/요약/키워드: Global Matrix Method

검색결과 195건 처리시간 0.029초

상수관망의 수리학적 지배인자 결정기법 (Determination Algorithm of Hydraulic Parameters in Water Distribution System)

  • 박재홍;김상현;한건연
    • 물과 미래
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    • 제29권6호
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    • pp.217-224
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    • 1996
  • 본 연구에서는 관망 시스템에서의 관경, 관경 및 전체유속, 유량 및 전체조도계수를 주어진 지점의 압력과 유량값을 이용하여 산정하는 기법을 개발하였다. 선택된 관망의 수리학적 인자들은 연속방정식과 에너지방정식을 재구성함으로써 결정될 수 있었다. 계수메트릭스를 해석하기 위하여 부가적인 에너지방정식이 사용되었다. 복잡한 관로 시스템에 대해 본 연구모형들이 적용되었다. 본 모형의 검증을 위해 계산결과를 KYPIPE2 모형에 역대입한 결과는 서로 잘 일치하고 있는 것으로 나타났다.

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기하급수 전개법을 이용한 준해석 민감도의 오차 분석 (Error Estimation for the Semi-Analytic Design Sensitivity Using the Geometric Series Expansion Method)

  • 단호진;이병채
    • 대한기계학회논문집A
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    • 제27권2호
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    • pp.262-267
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    • 2003
  • Error of the geometric series expansion method for the structural sensitivity analysis is estimated. Although the semi-analytic method has several advantages, accuracy of the method prevents it from practical application. One of the promising remedies is the use of geometric series formula for the matrix inversion. Its result of the sensitivity analysis converges that of the global difference method which is known as reliable one. To reduce computational efforts and to obtain reliable results, it is important to know how many terms need to expand. In this paper, the error formula is presented and Its usefulness is illustrated through numerical experiments.

시간지연 퍼지 시스템의 지연 종속 퍼지 H제어기 설계 (Delay-dependent Fuzzy H Controller Design for Delayed Fuzzy Dynamic Systems)

  • 이갑래
    • 한국지능시스템학회논문지
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    • 제14권5호
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    • pp.571-576
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    • 2004
  • 본 논문은 시간지연을 갖는 비선형 시스템에 대한 지연 종속 $H_{\infty}$ 제어기 설계 방법을 제안한다. 지연 종속 Lyapunov 함수를 이용하여 지수 함수적 안정화와 $H_{\infty}$ 성능 문제를 고려한다. 제어기의 존재성에 대한 충분조건을 유도하고 선형행렬부등식(LMI: linear matrix inequality)으로 나타낸다. 제어기 설계는 병렬 분산 보상의 개념을 이용하고, 필터는 LMI 해를 구함으로써 바로 구할 수 있다. 제안한 방법의 설계과정 및 타당성을 시뮬레이션 예제를 통하여 나타낸다. 지연종속 제어기는 제어기 존재 조건을 나타내는 선형 행렬 부등식에 시간지연항의 크기를 포함하고 있으므로 시간지연항의 크기에 상관없이 시스템을 안정화시키는 기존의 지연 독립적인 제어기보다 더 효과적인 설계 방법이다.

Bending and free vibration analysis of laminated piezoelectric composite plates

  • Zhang, Pengchong;Qi, Chengzhi;Fang, Hongyuan;Sun, Xu
    • Structural Engineering and Mechanics
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    • 제75권6호
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    • pp.747-769
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    • 2020
  • This paper provides a semi-analytical approach to investigate the variations of 3D displacement components, electric potential, stresses, electric displacements and transverse vibration frequencies in laminated piezoelectric composite plates based on the scaled boundary finite element method (SBFEM) and the precise integration algorithm (PIA). The proposed approach can analyze the static and dynamic responses of multilayered piezoelectric plates with any number of laminae, various geometrical shapes, boundary conditions, thickness-to-length ratios and stacking sequences. Only a longitudinal surface of the plate is discretized into 2D elements, which helps to improve the computational efficiency. Comparing with plate theories and other numerical methods, only three displacement components and the electric potential are set as the basic unknown variables and can be represented analytically through the transverse direction. The whole derivation is built upon the three dimensional key equations of elasticity for the piezoelectric materials and no assumptions on the plate kinematics have been taken. By virtue of the equilibrium equations, the constitutive relations and the introduced set of scaled boundary coordinates, three-dimensional governing partial differential equations are converted into the second order ordinary differential matrix equation. Furthermore, aided by the introduced internal nodal force, a first order ordinary differential equation is obtained with its general solution in the form of a matrix exponent. To further improve the accuracy of the matrix exponent in the SBFEM, the PIA is employed to make sure any desired accuracy of the mechanical and electric variables. By virtue of the kinetic energy technique, the global mass matrix of the composite plates constituted by piezoelectric laminae is constructed for the first time based on the SBFEM. Finally, comparisons with the exact solutions and available results are made to confirm the accuracy and effectiveness of the developed methodology. What's more, the effect of boundary conditions, thickness-to-length ratios and stacking sequences of laminae on the distributions of natural frequencies, mechanical and electric fields in laminated piezoelectric composite plates is evaluated.

STOCHASTIC GRADIENT METHODS FOR L2-WASSERSTEIN LEAST SQUARES PROBLEM OF GAUSSIAN MEASURES

  • YUN, SANGWOON;SUN, XIANG;CHOI, JUNG-IL
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제25권4호
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    • pp.162-172
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    • 2021
  • This paper proposes stochastic methods to find an approximate solution for the L2-Wasserstein least squares problem of Gaussian measures. The variable for the problem is in a set of positive definite matrices. The first proposed stochastic method is a type of classical stochastic gradient methods combined with projection and the second one is a type of variance reduced methods with projection. Their global convergence are analyzed by using the framework of proximal stochastic gradient methods. The convergence of the classical stochastic gradient method combined with projection is established by using diminishing learning rate rule in which the learning rate decreases as the epoch increases but that of the variance reduced method with projection can be established by using constant learning rate. The numerical results show that the present algorithms with a proper learning rate outperforms a gradient projection method.

The Improved Joint Bayesian Method for Person Re-identification Across Different Camera

  • Hou, Ligang;Guo, Yingqiang;Cao, Jiangtao
    • Journal of Information Processing Systems
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    • 제15권4호
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    • pp.785-796
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    • 2019
  • Due to the view point, illumination, personal gait and other background situation, person re-identification across cameras has been a challenging task in video surveillance area. In order to address the problem, a novel method called Joint Bayesian across different cameras for person re-identification (JBR) is proposed. Motivated by the superior measurement ability of Joint Bayesian, a set of Joint Bayesian matrices is obtained by learning with different camera pairs. With the global Joint Bayesian matrix, the proposed method combines the characteristics of multi-camera shooting and person re-identification. Then this method can improve the calculation precision of the similarity between two individuals by learning the transition between two cameras. For investigating the proposed method, it is implemented on two compare large-scale re-ID datasets, the Market-1501 and DukeMTMC-reID. The RANK-1 accuracy significantly increases about 3% and 4%, and the maximum a posterior (MAP) improves about 1% and 4%, respectively.

Scenic Image Research Based on Big Data Analysis - Take China's Four Ancient Cities as an Example

  • Liang, Rui;Guo, Hanwen;Liu, Jiayu;Liu, Ziyang
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제14권7호
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    • pp.2769-2784
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    • 2020
  • This paper aims to compare the scenic images of four ancient Chinese cities including Lijiang, Pingyao, Huizhou and Langzhong, so as to provide specific development strategies for the ancient cities. In this paper, the ancient cities' scenic images are divided into three sub-indexes and eight evaluation dimensions. Based on this, the study first uses Python software to collect tourists' online comments on the four ancient cities. Then, the social network analysis method is used to build a high-frequency keywords matrix of tourist comments and the R language is used to generate a visual network graph. After this, the entropy weight method is used to determine the weights and values of eight evaluation dimensions. Finally, the tourists' overall satisfaction indexes of the four ancient cities are calculated accordingly. The results show that (1) the overall satisfaction of Lijiang is the highest, while that of Huizhou is the lowest; (2) from the weight of each evaluation dimension, it can be seen that tourists care more about the national culture and historical culture; (3) from tourists' satisfaction index on each evaluation dimension of the four ancient cities, we can find that the four ancient cities has their own advantages and disadvantages in tourism development. (4) local tourism-related institutions should strengthen their advantages and improve their deficiencies so as to enhance tourists' overall image of the ancient city.

관측 행렬 산출 기법 별 DGNSS-CP 성능 비교 (DGNSS-CP Performance Comparison of Each Observation Matrix Calculation Method)

  • 신동현;임철순;석효정;윤동환;박병운
    • 한국항행학회논문지
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    • 제20권5호
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    • pp.433-439
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    • 2016
  • 저가형 GNSS (global navigation satellite system) 수신 모듈에 DGNSS (differential GNSS) 서비스를 적용하기 위한 방안으로 거리 영역의 보정정보를 위치 영역으로 투영한 후, stand-alone으로 산출한 위치에 적용하는 DGNSS-CP 방식이 제안된 바 있다. DGNSS-CP 를 상용 수신기 또는 휴대폰에 적용하기 위해서는 항법 방정식의 관측행렬을 이용하여 위치영역 투영 방정식을 구성하므로, 각 위성의 시선벡터를 산출하여야 한다. GNSS 항법 메시지, 배치 정보 등이 시선벡터 산출을 위하여 사용되는데, 각 방법에 따라 정확도와 연산량 등의 성능에 차이가 발생한다. 본 연구에서는 제시된 두 가지 시선벡터 산출 방식에 따라 DGNSS-CP의 성능에 어떠한 영향을 끼치는지 확인하기 위하여, Septentrio PolaRx4 Pro 수신기에서 stand-alone mode 로 저장된 데이터에 해당 알고리즘을 적용하였고, 배치 정보를 사용하는 방법이 궤도정보를 사용하는 방법에 비해 정확도 면에서는 그 성능이 RMS (root mean square) 0.1 m 가량 저하되는 반면, 연산량은 약 1/15수준으로 줄일 수 있음을 확인하였다.

매트릭스합성 분산법에 의해 제조된 다이아몬드 나노유체의 대류열전달 특성 (Convective heat transfer characteristics of diamond nanofluid produced by matrix synthetic method)

  • 손권;이정석;박태희;박권하
    • Journal of Advanced Marine Engineering and Technology
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    • 제37권1호
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    • pp.9-15
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    • 2013
  • 지구 온난화 현상과 유가급등에 따른 에너지 부족 현상은 생산된 에너지의 효율적인 사용과 관리 문제를 부각시켰다. 이에 열교환기의 에너지 효율 향상을 위한 새로운 방안이 요구되었고 새로운 작동유체로서 나노유체의 열전달 특성 연구가 필요한 실정이다. 나노유체의 전도열전달특성의 경우 많은 선행연구에서 예측 가능한 패턴을 보이며 증가한 반면, 대류열전달 특성의 경우 특성이 명확하지 않아 추가적인 연구가 필요한 실정이다. 본 연구에서는 $25^{\circ}C$, $50^{\circ}C$의 입구온도 조건에서 레이놀즈수와 나노유체의 vol%를 증가시키며 실험을 수행하였다. 수행 결과 레이놀즈수와 vol%, 입구 온도가 증가할수록 대류열전달계수가 향상되었다.

HIV-1 바이오 동역학 모델의 지능형 디지털 재설계 (Intelligent Digital Redesign of Biodynamic Model of HIV-1)

  • 김도완;주영훈;박진배
    • 제어로봇시스템학회논문지
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    • 제12권6호
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    • pp.547-553
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    • 2006
  • This paper studies digital control of biodynamic model of HIV-1 via intelligent digital redesign (IDR). The purpose of the IDR is to develop an equivalent digital fuzzy controller maintaining the satisfactory performance of an existing continuous-time fuzzy controller in the sense of the state-matching. Some conditions for the stability as well as the global state-matching are provided.. They are given by the form of the linear matrix inequalities (LMIs) and thereby easily tractable by the convex optimization techniques. The main features of the proposed method are that 1) the generalized control scheme is provided for the multirate as well as the single-rate digital controllers; 2) a new compensated block-pulse function method is applied to closely match the states of the continuous-time and the sampled-data fuzzy systems in the discrete-time domain; 3) the two-step procedure of IDR is presented to prevent the performance degradation caused by the additional stability conditions. The applicability of the proposed approach is shown through the biodynamic model of HIV-1.