• 제목/요약/키워드: Linear relations

검색결과 436건 처리시간 0.022초

회귀분석에 의한 $Si_3N_4$세라믹 절삭공구의 공구수명 추정 (Estimation of Tool life by Simple & Multiple Linear Regression Analysis of $Si_3N_4$ Ceramic Cutting Tools)

  • 안영진;권원태;김영욱
    • 한국공작기계학회논문집
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    • 제13권4호
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    • pp.23-29
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    • 2004
  • In this study, four kinds of $Si_3N_4$-based ceramic cutting tools with different sintering time were fabricated to investigate the relation among mechanical properties, grain size and tool life. They were used to turn gray cast iron at a cutting speed of 330m/min and depth of cut of 0.5mm and 1mm in dry, continuos cutting conditions. Multiple linear regression model was used to determine the relations among the mechanical property, grain size and the density. It was found that the combination of hardness and fracture toughness showed a good relation with tool life. It was also shown that hardness was the most important single element for the tool life.

선형함수의 곱의 형태로 표현된 비선형함수의 선형변환 기법에 관한 연구 (Convex Underestimates of Sums of Products of Linear Functions)

  • 황승준;서동원
    • 산업경영시스템학회지
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    • 제30권2호
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    • pp.83-88
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    • 2007
  • 본 논문에서 선형함수의 곱의 형태로 표현된 비선형 함수를 목적식 또는 제약식에 가지는 비선형 최적화 문제를 새로운 변수를 추가하여 선형 Relaxation 최적화 문제로 Reformulation 하는 기법을 소개한다. 특히, 선형함수의 곱의 형태를 가지는 비선형 함수를 포함하는 비선형 정수 최적화 문제를 선형 정수 최적화 문제로 Relaxation할 경우 두 최적화 문제의 해가 일치함을 보인다. 또한 소개된 Relaxation 기법을 응용하여, 추가되는 변수의 수를 증가시킴으로서, 보다 Tight한 Relaxation 문제를 도출하는 과정에 대하여 소개한다.

Steady-State Harmonic Domain Matrix-Based Modeling of Four-Quadrant EMU Line Converter

  • Wang, Hui;Wu, Mingli;Agelidis, Vassilios G.;Song, Kejian
    • Journal of Power Electronics
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    • 제14권3호
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    • pp.572-579
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    • 2014
  • As a non-linear time variant system, the four-quadrant line converter of an electric multiple unit (EMU) was expressed by linear time periodic functions near an operating point and modeled by a steady-state harmonic domain matrix. The components were then combined according to the circuit connection and relations of the feedback control loops to form a complete converter model. The proposed modeling method allows the study of the amplitude of harmonic impedances to explore harmonic coupling. Moreover, the proposed method helps provide a better design for the converter controllers, as well as solves the problem in coordination operation between the EMUs and the AC supply. On-site data from an actual $CRH_2$ high-speed train were used to validate the modeling principles presented in the paper.

Water Quality in Artificial Reservoirs and Its Relations to Dominant Reservoir Fishes

  • Hwang, Yoon;Han, Jeong-Ho;An, Kwang-Guk
    • 생태와환경
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    • 제42권4호
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    • pp.441-451
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    • 2009
  • The major objectives of this study were to evaluate trophic state of reservoirs using major water quality variables and its relations in terms of trophic guilds and tolerance guilds with dominant lentic fishes. For this study, we selected 6 artificial reservoirs such as Namyang Reservoir ($N_yR$), Youngsan Reservoir ($Y_sR$), Daechung Reservoir ($D_cR$), Chungju Reservoir ($Cj_R$), Chungpyung Reservoir ($C_pR$), and Paldang Reservoir ($P_dR$), and collected fish during 2000~2007 along with data analysis of water quality monitored by the ministry of environment, Korea. Biological oxygen demand (BOD) and chemical oxygen demand (COD), indicators of organic matter pollution, varied depending on types of the reservoirs and the spatial patterns in terms of trophic gradients were similar to patterns of nutrients, Secchi depth and chlorophyll-a. Analysis of trophic state index (TSI) showed that reservoirs of $D_cR$ and $C_jR$ were mesotrophy and other 4 reservoirs were eutrophic state. The relations of trophic relations showedthat TSI (Chl-a) had a positive linear function [TSI (CHL)=0.407 TSI (TP)+28.2, n=138, p<0.05] with TSI (TP) but had a weak relation with TSI (TN). Also, TSI (TP) were negatively correlated ($R^2=0.703$, p<0.05) with TSI (SD), whereas TSI (TN) was not significant (p>0.05) relations with TSI (SD). Tolerance guilds of lentic fishes, based on three types of the reservoirs, reflected the exactly water quality in the TN, TP, BOD, and COD, and similar trends were shown in the fish feeding/trophic guilds.

시간가변적 공적분관계의 안정화 (Stabilization of the Time-variant Cointegrating Relations)

  • 김태호;박지원
    • 응용통계연구
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    • 제21권5호
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    • pp.727-738
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    • 2008
  • 변수들 사이 공적분관계의 존재는 불안정한 시계열의 선형결합이 안정적임을 뜻하지만 이 결합이 표본기간 내 발생한 사건에 영향을 받는다면 공적분검정의 기본 가정에 위배되어 검정력은 약해지고 결과는 현실과 차이가 난다. 이러한 관점에 입각하여 본 연구에서는 전체 표본의 일부를 단계적으로 증가시켜 가며 국내 주식시장 장기균형체계를 추정하여 시간가변성 및 안정성을 검정하였으며, 구조적 변화의 발생이 확인된 구간에 대해서는 가변수를 추가하는 방식으로 전 구간에 걸쳐 공적분 벡터를 안정화시키는 방안을 모색하여 보았다.

Prediction of ECC tensile stress-strain curves based on modified fiber bridging relations considering fiber distribution characteristics

  • Lee, Bang Yeon;Kim, Jin-Keun;Kim, Yun Yong
    • Computers and Concrete
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    • 제7권5호
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    • pp.455-468
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    • 2010
  • This paper presents a prediction and simulation method of tensile stress-strain curves of Engineered Cementitious Composites (ECC). For this purpose, the bridging stress and crack opening relations were obtained by the fiber bridging constitutive law which is quantitatively able to consider the fiber distribution characteristics. And then, a multi-linear model is employed for a simplification of the bridging stress and crack opening relation. In addition, to account the variability of material properties, randomly distributed properties drawn from a normal distribution with 95% confidence are assigned to each element which is determined on the basis of crack spacing. To consider the variation of crack spacing, randomly distributed crack spacing is drawn from the probability density function of fiber inclined angle calculated based on sectional image analysis. An equation for calculation of the crack spacing that takes into quantitative consideration the dimensions and fiber distribution was also derived. Subsequently, a series of simulations of ECC tensile stress-strain curves was performed. The simulation results exhibit obvious strain hardening behavior associated with multiple cracking, which correspond well with test results.

Nonparametric modeling of self-excited forces based on relations between flutter derivatives

  • Papinutti, Mitja;Cetina, Matjaz;Brank, Bostjan;Petersen, Oyvind W.;Oiseth, Ole
    • Wind and Structures
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    • 제31권6호
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    • pp.561-573
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    • 2020
  • Unsteady self-excited forces are commonly represented by parametric models such as rational functions. However, this requires complex multiparametric nonlinear fitting, which can be a challenging task that requires know-how. This paper explores the alternative nonparametric modeling of unsteady self-excited forces based on relations between flutter derivatives. By exploiting the properties of the transfer function of linear causal systems, we show that damping and stiffness aerodynamic derivatives are related by the Hilbert transform. This property is utilized to develop exact simplified expressions, where it is only necessary to consider the frequency dependency of either the aeroelastic damping or stiffness terms but not both simultaneously. This approach is useful if the experimental data on aerodynamic derivatives that are related to the damping are deemed more accurate than the data that are related to the stiffness or vice versa. The proposed numerical models are evaluated with numerical examples and with data from wind tunnel experiments. The presented method can evaluate any continuous fitted table of interpolation functions of various types, which are independently fitted to aeroelastic damping and stiffness terms. The results demonstrate that the proposed methodology performs well. The relations between the flutter derivatives can be used to enhance the understanding of experimental modeling of aerodynamic self-excited forces for bridge decks.

다익 홴/스크롤 시스템의 형상변수와 내부 유동장 특성과의 관계 (Some Relations Between the Geometric Parameters and Internal Flow Field Characteristics in Multiblade Fan/Scroll System)

  • 맹주성;유달현;이광호;박인규
    • 대한기계학회논문집B
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    • 제24권9호
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    • pp.1139-1147
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    • 2000
  • This paper describes that the size of inactive zone can be directly applied to design multiblade fan/scroll system. From the experimental studies using a five hole pitot tube and smoke test, it is found that the size of inactive zone has linear relations with the mean velocity of impeller inlet and cut-off angle gives a great influences to the fan efficiency. For the practical design, a function related with geometric parameters(i.e. inner radius, cord length, cut-off clearance and cut-off angle) of fan/scroll system is suggested. By using these formulas, the size and distribution of inactive zone can be predicted without the measurements through the full domain, it can be possible to use them to know the efficiency improvement for new model designed.

구조연성을 고려한 복합재료 상자형 보의 강성계수 예측에 관한 연구 (A Study on the Calculation of Stiffness Properties for Composite Box-Beams with Elastic Couplings)

  • 정성남;동경민
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2001년도 춘계학술발표대회 논문집
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    • pp.147-150
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    • 2001
  • In the present work, a linear static analysis is presented for thin-walled prismatic box-beams made of generally anisotropic materials. A mixed beam theory has been used to model and carry out the analysis. Three different constitutive relations are assessed into the beam formulation. Simple layup cases having symmetric or anti-symmetric configuration have been chosen and tested to clearly show the effects of elastic couplings of the beam. Both 2D and 3D finite element structural analysis using the MSC/NASTRAN has been performed to validate the current analytical results. Results show that appropriate assumptions for the constitutive equations are important and prerequisite for the accurate prediction of beam stiffness constants and also for the beam behavior.

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Nonlinear Color-Metallicity Relations of Globular Clusters: an Observational Approach

  • Kim, Hak-Sub;Yoon, Suk-Jin
    • 천문학회보
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    • 제40권2호
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    • pp.50.1-50.1
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    • 2015
  • The origin of globular cluster (GC) color bimodality, which is one of the salient phenomena observed in most large galaxies, has not yet been fully resolved. The phenomenon has conventionally been interpreted as a bimodal metallicity distribution based on an assumption of linear GC color-metallicity relations (CMRs). Recent studies however suggest that nonlinear GC CMRs can cause a bimodal color distribution even from a single-peaked metallicity spread. Using photometric and spectroscopic data on GCs in NGC 5128 (Cen A) and NGC 4594 (Sombrero), we investigate the nonlinearity of GC CMRs and compare the observed GC CMRs with the predictions of stellar population simulation models. Our careful selection of old GCs effectively reduces the scatter and reveals the nonlinear nature of the GC CMRs for various colors. The overall shape of the observed CMRs agrees well with that of the modeled CMRs, while offsets are present for some colors. We discuss the implications of our results in terms of the GC color bimodality and GC formation in NGC 5128 and NGC 4594.

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