• Title/Summary/Keyword: Numerical example

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Analysis of Crack Induced in Polymeric Layer (고분자 층에서 발생하는 균열 해석)

  • Lee Sang Sun
    • Proceedings of the International Microelectronics And Packaging Society Conference
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    • 2003.11a
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    • pp.247-250
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    • 2003
  • In this paper, the boundary element analysis of viscoelastic strain energy release ,ate G(t) for the cracked linear viscoelastic materials is attempted. This study proposes the G(t) equation and the calculating method of G(t) by time-domain boundary element analysis for the viscoelastic solids. The G(t) is defined as the derivative of the viscoelastic potential energy $\Pi(t)$ with respect to crack length a. Two example problems are presented to show the applicability of the proposed method to the analysis of the cracked linear viscoelastic solids. Numerical results of example problems show the accuracy and effectiveness of the proposed method.

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Investigation on Applicability of Modularized Floating Structure (모듈형 부유구조물의 적용성 연구)

  • Kim, Byoung-Wan;Hong, Sa-Young;Kyoung, Jo-Hyun
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2006.11a
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    • pp.237-240
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    • 2006
  • This paper investigates the applicability of modularized floating structure. A floating parking place is considered as an example of moularized structure. It is assumed that the example structure is composed of reinforced concrete box modules and steel connectors. By analyzing stresses of the structure under static and wave loads, the optimal stiffness of the module is determined In the numerical calculation, the direct method is used Economical effectiveness of the modularized structure is also evaluated by analyzing cost for materials, manufacture and installation.

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Spillover Suppression in a Flexible Structure using Eigenstructure Assignment (고유구조지정법을 이용한 유연구조물의 스필오버억제)

  • Park, Un-Sik;Choi, Jae-Weon
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.499-504
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    • 2000
  • Since large space structures(LSS) such as a space station, a solar power station satellite, etc., are theoretically distributed parameter and infinite-dimensional system, they have to be modeled into large finite-dimensional systems for control system design. Besides, there are fundamental problems in active vibration control of the large flexible structures. For example, a modeled large finite-dimensional system must be controlled with a much smaller dimensional controller. This causes the spillover phenomenon which degrades the control performances and reduces the stability margin. Furthermore, it may destabilize the entire feedback control system. In this paper, we proposed a novel control method for spillover suppression in the control of large flexible structures by using eigenstructure assignment. Its effectiveness in spillover suppression is investigated and verified by the numerical experiments using an example of the simply supported flexible beam which is modeled to have four controlled modes and eight uncontrolled modes.

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PWF-GPH method for the statistical analysis of failure time data (고장시간 자료의 통계적 분석을 위한 PWF-GPH 방법)

  • 김선영;윤복식
    • Journal of the military operations research society of Korea
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    • v.22 no.1
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    • pp.114-128
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    • 1996
  • In this paper, a life distribution fitting method based on generalized phase-type distributions(GPH) is presented. By fitting the life distribution to a GPH, we can utilize various useful properties of the GPH. Two different approaches are used according to the properties of the given failure time data. One is an approximation to a GPH through the piecewise Weibull failure rate(PWF) model and the other is a direct approximation to a GPH using the empirical distribution function. Two numerical examples are also presented. In the first example, both of the two approaches are utilized and compared for an incomplete data set. And in the second example, the direct approximation method from an empirical distribution is utilized for the analysis of a complete data set. In both cases, we could confirm the validity of the proposed method.

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Probabilistic condition assessment of structures by multiple FE model identification considering measured data uncertainty

  • Kim, Hyun-Joong;Koh, Hyun-Moo
    • Smart Structures and Systems
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    • v.15 no.3
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    • pp.751-767
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    • 2015
  • A new procedure is proposed for assessing probabilistic condition of structures considering effect of measured data uncertainty. In this procedure, multiple Finite Element (FE) models are identified by using weighting vectors that represent the uncertainty conditions of measured data. The distribution of structural parameters is analysed using a Principal Component Analysis (PCA) in relation to uncertainty conditions, and the identified models are classified into groups according to their similarity by using a K-means method. The condition of a structure is then assessed probabilistically using FE models in the classified groups, each of which represents specific uncertainty condition of measured data. Yeondae bridge, a steel-box girder expressway bridge in Korea, is used as an illustrative example. Probabilistic condition of the bridge is evaluated by the distribution of load rating factors obtained using multiple FE models. The numerical example shows that the proposed method can quantify uncertainty of measured data and subsequently evaluate efficiently the probabilistic condition of bridges.

Sequencing for Mixed-model Assembly Lines Considering Part Supplier in Just-in-time Production Systems (JIT생산시스템에서 부품공급업자를 고려한 혼합조립순서결정에 관한 연구)

  • 남궁석;이상용
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.20 no.43
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    • pp.1-16
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    • 1997
  • This paper improves the autonomy for supplier's schedule and the flexibility of the final assembly line. The final assembly line is a single work station and each product taking different assembly time is considered. In the assembly schedule, the heuristic method based on the goal chasing method is used. Consequently, suppliers can independently determine their output rates and thus, change their workload pattern according to their needs and priorities. Moreover, this flexibility can help to avoid expensive final-assembly-line stoppages in case of sudden part supply disruptions. The sequencing method can be easily implemented into an existing just-in-time system. In addition, the mathematical model was formulated and the algorithm was explained through the flow chart. The numerical example was given and the efficiency of this method is shown through the analysis of computational results of that example.

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Dynamic evaluation of water source safety based on fuzzy extension model

  • Ou, Bin;Gong, Aimin;He, Chunxiang;Fu, Shuyan
    • Membrane and Water Treatment
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    • v.10 no.2
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    • pp.149-154
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    • 2019
  • The information matter-element system was built to assess safety of water source. Based on the thought of multiindex fusion, fuzzy matter-element model evaluating water source behavior was constructed by matter-element transform. This model can process comprehensively hydrogeological data, ecological environment, water pollution, surface disturbance, and so on. Water source safety behavior can be described by the qualitative and quantitative manners. According to the development trend of quantitative results, water source safety behavior can be expressed dynamically. As an example, the proposed method was used to assess safety status of 7 water sources in the region. The numerical example shows that the proposed method is feasible and effective, and the evaluation results are reasonable.

Coupling relevance vector machine and response surface for geomechanical parameters identification

  • Zhao, Hongbo;Ru, Zhongliang;Li, Shaojun
    • Geomechanics and Engineering
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    • v.15 no.6
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    • pp.1207-1217
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    • 2018
  • Geomechanics parameters are critical to numerical simulation, stability analysis, design and construction of geotechnical engineering. Due to the limitations of laboratory and in situ experiments, back analysis is widely used in geomechancis and geotechnical engineering. In this study, a hybrid back analysis method, that coupling numerical simulation, response surface (RS) and relevance vector machine (RVM), was proposed and applied to identify geomechanics parameters from hydraulic fracturing. RVM was adapted to approximate complex functional relationships between geomechanics parameters and borehole pressure through coupling with response surface method and numerical method. Artificial bee colony (ABC) algorithm was used to search the geomechanics parameters as optimal method in back analysis. The proposed method was verified by a numerical example. Based on the geomechanics parameters identified by hybrid back analysis, the computed borehole pressure agreed closely with the monitored borehole pressure. It showed that RVM presented well the relationship between geomechanics parameters and borehole pressure, and the proposed method can characterized the geomechanics parameters reasonably. Further, the parameters of hybrid back analysis were analyzed and discussed. It showed that the hybrid back analysis is feasible, effective, robust and has a good global searching performance. The proposed method provides a significant way to identify geomechanics parameters from hydraulic fracturing.

Study on recognition of the dependent generality in algebraic proofs and its transition to numerical cases (대수 증명에서 종속적 일반성의 인식 및 특정수 전이에 관한 연구)

  • Kang, Jeong Gi;Chang, Hyewon
    • The Mathematical Education
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    • v.53 no.1
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    • pp.93-110
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    • 2014
  • Algebra deals with so general properties about number system that it is called as 'generalized arithmetic'. Observing students' activities in algebra classes, however, we can discover that recognition of the generality in algebraic proofs is not so easy. One of these difficulties seems to be caused by variables which play an important role in algebraic proofs. Many studies show that students have experienced some difficulties in recognizing the meaning and the role of variables in algebraic proofs. For example, the confusion between 2m+2n=2(m+n) and 2n+2n=4n means that students misunderstand independent/dependent variation of variables. This misunderstanding naturally has effects on understanding of the meaning of proofs. Furthermore, students also have a difficulty in making a transition from algebraic proof to numerical cases which have the same structure as the proof. This study investigates whether middle school students can recognize dependent generality and make a transition from proofs to numerical cases. The result shows that the participants of this study have a difficulty in both of them. Based on the result, this study also includes didactical implications for teaching the generality of algebraic proofs.

Theoretical and Numerical Study of Cylindrical-vector-mode Radiation Characteristics in Periodic Metallic Annular Slits and Their Applications

  • Kim, Hyuntai;Jeong, Yoonchan
    • Current Optics and Photonics
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    • v.2 no.5
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    • pp.482-487
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    • 2018
  • We investigate the radiation characteristics of radially polarized light and azimuthally polarized light through plasmonic subwavelength-scale annular slit (PSAS) structures, by means of both theoretical and numerical methods. Effective-medium theory was utilized to analyze the characteristics of PSAS structures, and the corresponding results showed that PSAS structures can function as a metallic medium for azimuthally polarized light, or as a low-loss dielectric medium for radially polarized light. Numerical calculations based on the finite-element method were also performed, to verify the theoretical analyses. It turned out that the numerical results supported the theoretical results. Moreover, we exploited the PSAS structures in novel nanophotonic elements with dual functionalities that could selectively focus or pass/block incident light, depending on its polarization state. For example, if PSAS structures were implemented in the dielectric region of a metallic Fresnel zone plate, the modified zone plate could function as a blocking element to azimuthally polarized light, yet as a focusing element to radially polarized light. On the contrary, if PSAS structures were implemented in the metallic region of a metallic Fresnel zone plate (i.e. the inverted form of the former), it could function as a focusing element to azimuthally polarized light, yet as a simple transparent element to radially polarized light.