• Title/Summary/Keyword: spatial problem

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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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    • v.72 no.6
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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.

A design of teaching units for experiencing mathematising of elementary gifted students: inquiry into the isoperimetric problem of triangle and quadrilateral (초등영재 학생의 수학화 학습을 위한 교수단원 설계: 삼·사각형의 등주문제 탐구)

  • Choi, Keunbae
    • Communications of Mathematical Education
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    • v.31 no.2
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    • pp.223-239
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    • 2017
  • In this paper, it is aimed to design the teaching units 'Inquiry into the isoperimetric problem of triangle and quadrilateral' to give elementary gifted students experience of mathematization. For this purpose, the teacher and the class observer (researcher) made a discussion about the design of the teaching unit through the analysis of the class based on the thought processes appearing during the problem solving process of each group of students. The following is a summary of the discussions that can give educational implications. First, it is necessary to use mathematical materials to reduce students' cognitive gap. Second, it is necessary to deeply study the relationship between the concept of side, which is an attribute of the triangle, and the abstract concept of height, which is not an attribute of the triangle. Third, we need a low-level deductive logic to justify reasoning, starting from inductive reasoning. Finally, there is a need to examine conceptual images related to geometric figure.

Preconditioned Jacobian-free Newton-Krylov fully implicit high order WENO schemes and flux limiter methods for two-phase flow models

  • Zhou, Xiafeng;Zhong, Changming;Li, Zhongchun;Li, Fu
    • Nuclear Engineering and Technology
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    • v.54 no.1
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    • pp.49-60
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    • 2022
  • Motivated by the high-resolution properties of high-order Weighted Essentially Non-Oscillatory (WENO) and flux limiter (FL) for steep-gradient problems and the robust convergence of Jacobian-free Newton-Krylov (JFNK) methods for nonlinear systems, the preconditioned JFNK fully implicit high-order WENO and FL schemes are proposed to solve the transient two-phase two-fluid models. Specially, the second-order fully-implicit BDF2 is used for the temporal operator and then the third-order WENO schemes and various flux limiters can be adopted to discrete the spatial operator. For the sake of the generalization of the finite-difference-based preconditioning acceleration methods and the excellent convergence to solve the complicated and various operational conditions, the random vector instead of the initial condition is skillfully chosen as the solving variables to obtain better sparsity pattern or more positions of non-zero elements in this paper. Finally, the WENO_JFNK and FL_JFNK codes are developed and then the two-phase steep-gradient problem, phase appearance/disappearance problem, U-tube problem and linear advection problem are tested to analyze the convergence, computational cost and efficiency in detailed. Numerical results show that WENO_JFNK and FL_JFNK can significantly reduce numerical diffusion and obtain better solutions than traditional methods. WENO_JFNK gives more stable and accurate solutions than FL_JFNK for the test problems and the proposed finite-difference-based preconditioning acceleration methods based on the random vector can significantly improve the convergence speed and efficiency.

Design and Control of MR Fan Clutch for Automotive Application (차량용 MR 홴 클러치 설계 및 제어)

  • Kim, Eun-Seok;Sohn, Jung-Woo;Choi, Seung-Bok
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.19 no.8
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    • pp.795-801
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    • 2009
  • This paper presents an optimal design of a magnetorheological(MR) fan clutch based on finite element analysis and also presents torque control of engine cooling fan using a sliding mode control. The MR fan clutch is constrained in a specific volume and the optimization problem identifies the geometric dimension of the fan clutch that minimizes an objective function. The objective function for the optimization problem is determined based on the solution of the magnetic circuit of the initially designed clutch. Under consideration of spatial limitation, design parameters are optimally determined using finite element analysis. After describing the configuration of the MR fan clutch, the viscous torque and controllable torque are obtained on the basis of the Bingham model of MR fluid. Then, a sliding mode controller is designed to control the torque of the fan clutch according to engine room temperature and control performance is evaluated through computer simulation.

A Study for Evacuation Assistance to Vulnerable People by MAS Based Evacuation Simulation (MAS 기반 대피시뮬레이션을 활용한 안전약자 대피지원 개선방안 연구)

  • Jung, Tae Ho;Park, Sang Hyun;Jang, Jae Soon
    • Journal of the Korean Society of Safety
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    • v.32 no.1
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    • pp.121-127
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    • 2017
  • Recently, many patients in a hospital are threatened life by fire disaster. Because many patients like vulnerable people have more evacuation problem than ordinary person. So a patient who can escape by oneself with walking assistance device like crutches or wheelchair and another patient who can't escape by oneself are should be supported safety technologies and service. Earlier research of 'hospital evacuation' led by actual experiments or computer evacuation simulation. Actual experiment is effective to gain credibility of result but it is difficult for patients to experiment repeatedly and it requires consideration for spatial problem and economic problems. Although computer evacuation simulation have been used to solve these problems, almost have concluded only results based on velocity without evacuation device. In this study, evacuation results with support device application or not are analysed used by computer evacuation simulation based on MAS(Multi Agent System). As a result, it is drawn through proof of efficiency of evacuation device in the vertical space like stairs that can improve the evacuation plan for vulnerable people in the hospital.

Shape Reconstruction from Large Amount of Point Data using Repetitive Domain Decomposition Method (반복적 영역분할법을 이용한 대용량의 점데이터로부터의 형상 재구성)

  • Yoo, Dong-Jin
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.11 s.188
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    • pp.93-102
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    • 2006
  • In this study an advanced domain decomposition method is suggested in order to construct surface models from very large amount of points. In this method the spatial domain of interest that is occupied by the input set of points is divided in repetitive manner. First, the space is divided into smaller domains where the problem can be solved independently. Then each subdomain is again divided into much smaller domains where the problem can be solved locally. These local solutions of subdivided domains are blended together to obtain a solution of each subdomain using partition of unity function. Then the solutions of subdomains are merged together in order to construct whole surface model. The suggested methods are conceptually very simple and easy to implement. Since RDDM(Repetitive Domain Decomposition Method) is effective in the computation time and memory consumption, the present study is capable of providing a fast and accurate reconstructions of complex shapes from large amount of point data containing millions of points. The effectiveness and validity of the suggested methods are demonstrated by performing numerical experiments for the various types of point data.

Long-Term Shoreline Change and Evaluation of Total Longshore Sediment Transport Rate on Hupo Beach (후포해빈에서 해안선의 장기변화 및 전연안표사량의 추정)

  • Park, Il-Heum;Lee, Young-Kweon
    • Journal of Ocean Engineering and Technology
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    • v.21 no.4
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    • pp.15-20
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    • 2007
  • The harbor siltation by longshore sediment transports has become a serious problem on the East Coast of Korea. A reasonable prediction of the longshore sediment rate is important to approach the siltation problem effectively. In the recently developed 1-line model, the empirical constants of the sediment transport formula, which include the absolute quantity of sediment transport rate and the spatial distribution of breaking wave height by wave deformation, are treated as calibration parameters. Since these constants should be determined by the very long-term shoreline data, the longshore sediment rates are much more reasonable values. The method was applied to Hupo Beach, which has experienced heavy siltation. The authors also discuss long-term shoreline change using aerial photos and the observed wave-induced current patterns. According to the result, the SW-direction sediment transport rate was $146,892m^3/year$, and the NE direction was $2,694,450m^3/year$ at Hupo Beach for the last 11 years. The siltation in Hupo Harbor might be affected by the NE-direction sediment transport from Hupo Beach.

Expected Neighbor's Relation according to Socially Integrative Planning Elements (사회통합적 계획 요소에 따른 예상 이웃관계에 관한 연구)

  • Lin, Eui-Sun;Lee, Yeun-Sook
    • Proceeding of Spring/Autumn Annual Conference of KHA
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    • 2009.11a
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    • pp.11-16
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    • 2009
  • Public rental apartment has suffered social exclusion problem, stemmed from its closed planing for a very specific range of the disadvantaged population. Thereby, it has been recognized as a disliked residential facility. To alleviate this problem, various approaches have been tried such as ownership-tenant mixture, and different unit size mixture. The purpose of this study is to grasp the expected social relation among neighboring residents according to socially integrative planing elements such as ownership, unit size and family life cycle match. Thirty eight graduate students in architecture and housing field responded to the questionnaire which was specifically made to identify relations of 28 neighboring situations based on $2{\times}2{\times}2$ variable composition. Frequency, percentage and MDS(multidimensional scaling) were used to analyze data. As a result, the order of preferred matchy were identified. The match between rental/small/children group and ownership/middle/children group was turned out to be the most desirable while the match between rental/small/children family group and rental/small/elderly group was found the least desirable. Spatial representations of the relationships among 8 household types were delineated. In conclusion, the definite patterns of the favorable and unfavorable match were found. This result is expected to be used as a reference in developing a strategic match to promote the rental apartments social integration in Korea.

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Improved Phase Synthesis for Parametric Stereo Audio Coding (파라메트릭 스테레오 오디오 부호화를 위한 향상된 위상 합성 기법)

  • Hyun, Dong-Il;Park, Young-Cheol;Youn, Dae Hee
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.12
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    • pp.184-190
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    • 2013
  • Parametric stereo(PS) audio coding is a specific version of spatial audio coding. In this paper, the problem due to the conventional synthesis of phase differences. In the conventional upmix matrix, phase differences are synthesized not only on downmix signal but also ambient signal, which violates the assumption that the ambient signals are anti-phased. Deterioration due to the phase synthesis is analyzed, especially, for low interchannel correlation. To solve this problem, new upmix matrix is proposed, which synthesizes phase differences only on downmix signal. The performance of the proposed upmix matrix is verified by the subjective listening tests.

An Analysis of Service Quality affected by Allowing Maximum Delay Jitter (최대 지연지터의 허용이 서비스 품질에 미치는 영향에 대한 분석)

  • Lee, Keun-Wang
    • Journal of KIISE:Information Networking
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    • v.27 no.2
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    • pp.123-130
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    • 2000
  • It is important interest for us to solve skew problem in intermedia synchronization and to solve jitter problem in intramedia synchronization. It propose multimedia synchronization model to represent mixed media which contain temporal media and spatial media, and that helps us to develop multimedia application software efficiently. The proposed paper use four parameters to deal with QoS of intermedia synchronization and relative duration time algorithm and jitter-compensatory time algorithm are presented. When key medium is destroyed we make a delay as much as maximum delay jitter of the key medium in order to playout the other medium as much as that. The result is that the application of maximum delay jitter improves the service quality.

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