• Title/Summary/Keyword: complex variable

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Thermal stress Intensity Factors for the Interfacial Crack on a Cusp-Type Inclusion (커스프형 강체함유물 상의 접합경계면 균열에 대한 열응력세기계수)

  • 이강용;장용훈
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.7
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    • pp.1255-1265
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    • 1992
  • Under uniform heat flow, the thermal stress intensity factors for the interfacial crack on a rigid cusp-type inclusion are determined by Hilbert problem expressed with complex variable. The thermal stress intensity factors are expressed in terms of the periodic function of heat flow angle. When the tip of the interfacial crack meets that of the cusp crack, the thermal stress intensity factors have singularities. The thermal stress intensity factors at the interfacial crack tip located in the distance from the cusp crack tip vary with the location of the interfacial crack tip. From the results of the analysis, the complex potential functions and the thermal stress intensity factors for the cusp-type inclusion without the interfacial crack are derived under the cusp surface boundary conditions insulated or fixed to zero relative temperature.

An Efficient Three-Dimensional Capacitance Extraction Based on finite Element Method Adopting Variable Division (가변 분할을 적용한 유한 요소법에 의한 3차원 모형의 효율적인 커패시턴스 추출 방법)

  • 김정학;김준희;김석윤
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.52 no.3
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    • pp.116-122
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    • 2003
  • This paper proposes an efficient method for computing the 3-dimensional capacitance of complex structures. The proposed method Is based on Finite Element Method(FEM) and expands the conventional FEM by adopting variable division. This method improves the extraction efficiency 50 times when compared to the conventional FEM with equal division. The proposed method can be used efficiently to extract electrical parameters of on/off-chip interconnects in VLSI systems.

New Active Filter using the Augmented Integrator (보상 적분기를 사용한 새로운 능동 여파기)

  • 김정덕;정훈성
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.15 no.4
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    • pp.20-25
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    • 1978
  • Two augmented integrators are sufficient as memory elements to realize an arbitrary second-order voltage transfer funtion which has complex poles in left-half S-plane, where S is a complex variable. The augmented integrator is characterized by transfer funtion B/(S+A), where A and B are real constant.

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Development of a Fuzzy Knowledge-Based System for the Control of a Refuse Incineration Plant -Application of Advanced Fuzzy Techniques for a Complex Multivariable Control Problem

  • B.Krause;C.von-Altrock;Lim, K.per;Dr.W.Sch-fers
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.1109-1113
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    • 1993
  • A refuse incineration plant is a complex process, whose multi-variable control problems can not be solved conventionally by deriving an exact mathematical model of the process. The usage of advanced fuzzy technologies within the suitable development methodology is demonstrated by a controller implemented for the refuse incineration plant in Hamburg-Stapelfeld, Germany.

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NEW SEVEN-PARAMETER MITTAG-LEFFLER FUNCTION WITH CERTAIN ANALYTIC PROPERTIES

  • Maryam K. Rasheed;Abdulrahman H. Majeed
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.1
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    • pp.99-111
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    • 2024
  • In this paper, a new seven-parameter Mittag-Leffler function of a single complex variable is proposed as a generalization of the standard Mittag-Leffler function, certain generalizations of Mittag-Leffler function, hypergeometric function and confluent hypergeometric function. Certain essential analytic properties are mainly discussed, such as radius of convergence, order, type, differentiation, Mellin-Barnes integral representation and Euler transform in the complex plane. Its relation to Fox-Wright function and H-function is also developed.

Formulation of the Green's Functions for Coplanar Waveguide Microwave Devices as Genetic Algorithm-Based Complex Images

  • Han, DaJung;Lee, ChangHyeong;Kahng, Sungtek
    • Journal of Electrical Engineering and Technology
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    • v.12 no.4
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    • pp.1600-1604
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    • 2017
  • A new Complex Image Method based on Genetic Algorithm (GA) is proposed to calculate the Green's functions of CPW (coplanar waveguide)-type microwave components and antennas. The closed-forms of the spectral-domain integrals are obtained by the GA, avoiding the conventional procedures of the tedious linear algebra and the sampling conditions sensitive to the complex-variable sampling paths adopted in the Prony's and GPOF methods. The proposed method is compared with the numerical Sommerfeld Integral, which results in good agreement.

Chemical Coagulation Treatment Using Alum and PACl in Complex Wastewater (Alum과 PACl을 이용한 응집처리)

  • Sung, Il-Wha
    • Journal of Environmental Health Sciences
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    • v.35 no.1
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    • pp.53-57
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    • 2009
  • In order to treat the complex wastewater containing organic compound and solids, pre-treatment system associated with molecular separation process were investigated. The reductions of COD and turbidity were obtained after coagulation processes using Alum (Aluminium sulfate, $Al_2(SO_4)_2{\cdot}18H_{2}O$) and PACl (poly aluminium chloride as 17% $Al_{2}O_{3}$). The results of study were as follows: using variable dosage of Alum, COD removal was highest at 4,000 mg/l, and the reduction of COD and turbidity was 42% and 92%, respectively. The optimum coagulation would be effective at pH 7.3 than pH 9.0 by the addition of alum at a concentration of 6,000 mg/l and PACl was add at 4.25% in raw complex wastewater with 2,000 mg/l alum at pH 7.3, the reduction of COD was reduced by 32%. But coagulation aid experiments indicated that PACl would be more effective in sludge separation ability than COD removal efficiency.

Dynamic Characteristics Analysis for the Online Monitoring System Designing KTX MRU and Improvement of the Stability Related Variable High Speed (고속열차 감속기의 상시감시시스템 설계 및 가변속주행시 안정성 향상을 위한 동특성해석)

  • Park, Byung Su;Kim, Jin Woo;Choi, Sang Rak;Song, Young Chun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.23 no.4
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    • pp.301-307
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    • 2013
  • MRU(motor reduction unit) for KTX is a assembled complex structure that is equipped with a lot of parts at the express train KTX and that is the core power source operating variable speeds. This study is recorded the dynamic characteristics analysis results tested by EMA which is done through the parts and assembly test, transient analysis and stoped train test in order to design the online monitoring system for KTX MRU. And the mode shapes result from critical vibration frequency explain the relation with variable speeds of express train over 250 km/hr. Also these variable speeds make variable operational frequencies at pinion, axle gear mesh frequency and normal bearing fault frequencies. As the specified speed can make resonance with natural frequencies of the MRU, for the train operating stability, this study also presents the MRU's critical speeds calculated by the each train speed.

The Influences of Apartment Complex Characteristics on Housing Price by Hierarchical Linear Model (위계적 모형을 이용한 주거단지특성이 주택가격에 미치는 영향)

  • Hong, Keong-Gu
    • Journal of the Korean housing association
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    • v.25 no.6
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    • pp.39-47
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    • 2014
  • The background of this study is to examine the structure of housing price of which characteristics are not equal but hierarchical in the apartment complexes. So, the purpose of this study is to analyze the influences of apartment complex characteristics on the housing price within the same regional boundary by HLM. The data used as dependent variables were the market prices of 938 units from 29 apartment complexes by stratified sampling. The 2nd level independent variables is the Housing complex characteristics which are composed of the housing complex & locational variables and the 1st level independent variables are the unit characteristics. The results are as follows. First, the first model shows that the 2nd level variables explains 68% of the housing prices. Second, the influential variables of the 1st level unit variable are 'dwelling exclusive area', 'floor of dwelling' and 'direction of dwelling'. Third, the influential variables of the housing complex variables in the 2nd level are 'lot area', 'the building-to-land ratio', 'the number of unit', 'the number of parking lots per unit', 'Green space area' and 'open space area per unit'. The last, the influential variables of the housing locational variables in the 2nd level are 'distance to subway and park' and the number of school and park within a radius of 1km.

Morphological multivariate analyses of Isodon excisus complex (Lamiaceae) in Korea

  • Kim, Sang-Tae;Ma, Youn-Ju
    • Korean Journal of Plant Taxonomy
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    • v.41 no.3
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    • pp.223-229
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    • 2011
  • The taxonomy of the Isodon excisus complex has been ambiguous and problematic because the morphological characters, especially characters related to the leaf distinguishing subgroups of the complex in the original descriptions, are variable. To elucidate the taxonomic structure of the I. excisus complex in Korea, 34 characters were measured from 70 OTUs representing different locations and analyzed by principal component analysis (PCA). The analysis showed that principle component axis 1, 2, 3 (PC1, PC2, PC3) represents 52.0% of the total variance and characters showing high loading values for PC1 were leaf shape, density of non-glandular hairs on the lower surface of the leaf, and characters related to the teeth of the leaf. The length of apical tooth and the angle between two widest points of the leaf were highly correlated to PC2 and PC3, respectively. Three-dimensional scatter plotting of OTUs for PC1, PC2, and PC3 axis showed that the areas of previously recognized three subgroups of I. excisus completely overlapped. Our result supported that just one taxon, I. excisus var. excisus, should be recognized in the complex at the variety level.