• 제목/요약/키워드: complementary functions method

검색결과 35건 처리시간 0.024초

Dynamic response of curved Timoshenko beams resting on viscoelastic foundation

  • Calim, Faruk Firat
    • Structural Engineering and Mechanics
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    • 제59권4호
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    • pp.761-774
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    • 2016
  • Curved beams' dynamic behavior on viscoelastic foundation is the subject of the current paper. By rewritten the Timoshenko beams theory formulation for the curved and twisted spatial rods, governing equations are obtained for the circular beams on viscoelastic foundation. Using the complementary functions method (CFM), in Laplace domain, an ordinary differential equation is solved and then those results are transformed to real space by Durbin's algorithm. Verification of the proposed method is illustrated by solving an example by variating foundation parameters.

A unified method for stresses in FGM sphere with exponentially-varying properties

  • Celebi, Kerimcan;Yarimpabuc, Durmus;Keles, Ibrahim
    • Structural Engineering and Mechanics
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    • 제57권5호
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    • pp.823-835
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    • 2016
  • Using the Complementary Functions Method (CFM), a general solution for the one-dimensional steady-state thermal and mechanical stresses in a hollow thick sphere made of functionally graded material (FGM) is presented. The mechanical properties are assumed to obey the exponential variations in the radial direction, and the Poisson's ratio is assumed to be constant, with general thermal and mechanical boundary conditions on the inside and outside surfaces of the sphere. In the present paper, a semi-analytical iterative technique, one of the most efficient unified method, is employed to solve the heat conduction equation and the Navier equation. For different values of inhomogeneity constant, distributions of radial displacement, radial stress, circumferential stress, and effective stress, as a function of radial direction, are obtained. Various material models from the literature are used and corresponding temperature distributions and stress distributions are computed. Verification of the proposed method is done using benchmark solutions available in the literature for some special cases and virtually exact results are obtained.

Two rectangular elements based on analytical functions

  • Rezaiee-Pajand, Mohammad;Karimipour, Arash
    • Advances in Computational Design
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    • 제5권2호
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    • pp.147-175
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    • 2020
  • To achieve appropriate stresses, two new rectangular elements are presented in this study. For reaching this aim, a complementary energy functional is used within an element for the analysis of plane problems. In this energy form, the Airy stress function will be used as a functional variable. Besides, some basic analytical solutions are found for the stress functions. These trial functions are matched with each element number of degrees of freedom, which leads to a number of equations with the anonymous constants. Subsequently, according to the principle of minimum complementary energy, the unknown constants can be expressed in terms of displacements. This system can be rewritten in terms of the nodal displacement. In this way, two new hybrid-rectangular triangular elements are formulated, which have 16 and 40 degrees of freedom. To validate the outcomes, extensive numerical studies are performed. All findings clearly demonstrate accuracies of structural displacements, as well as, stresses.

CIS CODES OVER 𝔽4

  • Kim, Hyun Jin
    • Korean Journal of Mathematics
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    • 제28권2호
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    • pp.285-294
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    • 2020
  • We study the complementary information set codes (for short, CIS codes) over 𝔽4. They are strongly connected to correlation-immune functions over 𝔽4. Also the class of CIS codes includes the self-dual codes. We find a construction method of CIS codes over 𝔽4 and a criterion for checking equivalence of CIS codes over 𝔽4. We complete the classification of all inequivalent CIS codes of length up to 8 over 𝔽4.

망점색인쇄물의 분광측색법과 자극치직독측색법에 대한 비교분석 (Camparision and Analysis about the Weighted-Ordinate Colorimetric Method and the Direct Colorimetric Method of Halftone Dot Printing Colors)

  • 이상남
    • 한국인쇄학회지
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    • 제6권1호
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    • pp.13-39
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    • 1988
  • Test colors are halftone dot printed at the rate of 10% halftone dot area by process inksblack, cyan, magenta and yellow ink. Reproduced colors are measured by the weighted-ordinate colorimetric method and the direct colorimetric method. The weighted-ordinate colorimetric method compare favorably with the direct colorimetric method, because the former has good regular changes of tristimuIus values, chromacity coordinates, excitation purities, value functions and has smaller errors of dominant and complementary wavelengths than the latter. All test colors classify with the Munsell renotation.tation.

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Enhancement of Signal-to-noise Ratio Based on Multiplication Function for Phi-OTDR

  • Li, Meng;Xiong, Xinglong;Zhao, Yifei;Ma, Yuzhao
    • Current Optics and Photonics
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    • 제2권5호
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    • pp.413-421
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    • 2018
  • We propose a novel methodology based on the multiplication function to improve the signal-to-noise ratio (SNR) for vibration detection in a phi optical time-domain reflectometer system (phi-OTDR). The extreme-mean complementary empirical mode decomposition (ECEMD) is designed to break down the original signal into a set of inherent mode functions (IMFs). The multiplication function in terms of selected IMFs is used to determine a vibration's position. By this method, the SNR of a phi-OTDR system is enhanced by several orders of magnitude. Simulations and experiments applying the method to real data prove the validity of the proposed approach.

VUS와 HUM 최적화를 이용한 선형함수의 모수추정 (Parameter estimation of linear function using VUS and HUM maximization)

  • 홍종선;원치환;정동길
    • Journal of the Korean Data and Information Science Society
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    • 제26권6호
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    • pp.1305-1315
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    • 2015
  • ROC 곡선을 구성하는 한 개의 스코어 변수로 이루어진 분류모형을 확장하여 선형 스코어의 함수인 리스크 스코어를 고려하고, 선형 스코어의 계수를 추정하기 위한 방법으로 AUC를 최대화하는 방법을 사용한다. 이런 AUC 접근방법으로 구한 스코어의 계수 추정량은 로지스틱모형을 이용한 선형 스코어의 모수의 최대가능도 추정량보다 자료가 로지스틱 가정이 맞지 않는 일반적인 상황에서도 좋은 추정 결과를 보인다. 본 연구에서는 다항범주로 분류되어 현실적인 판별 및 예측 상황을 고려하여 AUC 접근방법을 확장한 VUS와 HUM 접근방법을 제안한다. 연결함수로는 로짓, complementary log-log와 로짓을 변형한 함수의 세 종류와 그리고 다양한 분류점의 분포인 경우에 대하여도 모의실험을 실시하였다. 본 논문에서는 다항범주 판별결과에 대하여 VUS와 HUM 접근방법도 AUC 접근방법과 유사하게 다양한 연결함수에 대하여 로지스틱모형 추정방법보다 동등하거나 더 나은 모수추정 결과를 보이는 것을 확인하였다.

응력함수를 이용한 복합재 적층 패치의 3차원 층간 응력 해석 (Three Dimensional Interlaminar Stress Analysis of a Composite Patch Using Stress Functions)

  • 이재훈;조맹효;김흥수
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2009년도 정기 학술대회
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    • pp.488-491
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    • 2009
  • 본 논문에서는 응력함수와 Kantorovich method를 이용하여 기저판(substrate)에 인장과 굽힘이 작용할 때 복합재 패치의 3차원 응력을 해석하였다. 면내 방향과 면외 방향의 두 응력함수에 가상 공액일의 법칙(Complementary virtual work principle)을 적용하였으며 복합재 패치의 자유 경계조건과 바닥의 기저판으로부터 전달되는 전단 수직 응력 조건을 부여하였다. 이를 통해서 패치 구조물의 지배방정식을 연립 미분 방정식 형태의 고유치 문제로 변환하여 응력함수를 구하였다. 위 방법의 타당성과 효용성을 검증하기 위한 수치 예제로 cross-ply, angle-ply, quasi-isotropic의 패치 적층 배열을 고려하였으며, 층간 응력함수 값이 자유 경계에서 최고치를 나타내고 패치 중심부로 갈수록 급격히 감소하는 모습을 확인하였다. 제안된 기법은 기저판에 인장하중이 작용하는 경우뿐만 아니라 굽힘 하중이 작용하는 경우에도 정확한 예측이 가능하여, 패치 구조물의 층간 응력을 포함한 3차원 응력을 해석하는데 있어서 효율적인 해석 도구로서 사용할 수 있을 것이라 사료된다.

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동질 영역의 기울기를 고려한 상보 쿼드트리 (A Complementary Quadtree in Consideration for Gradient of Homogeneous Regions)

  • 김신진;이종엽;김영모;고광식
    • 대한전자공학회논문지SP
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    • 제39권3호
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    • pp.36-41
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    • 2002
  • 만화 영상은 비교적 간단하고, 사용 색상의 수가 적으며 동일 색상이나 기울기를 가지는 동질 영역(homogeneous region)이 많이 존재한다. 본 논문에서는 이런 특징을 이용하여 만화 이미지에 효과적인 상보 쿼드트리 압축 방법을 제안하였다. 그리고 영상의 점진전송이 가능하게 하여, 데이터의 전송이 진행되는 동안 수신측에서는 낮은 해상도의 영상에서부터 점진적으로 더 높은 해상도의 영상으로 해상도를 향상시켜 나가게 한다. 이것은 데이터 전송의 초기에 영상의 가치를 판단하여 나머지 부분의 전송을 진행하거나 취소할 수 있어 제한된 전송 대역을 효과적으로 이용할 수 있다. 제안된 방법이 비손실의 점진전송이 가능한 방법이므로 이와 같은 기능을 가진 progressive PNG, progressive GIF와 압축 성능을 비교 하였다.

COMPOUNDED METHOD FOR LAND COVERING CLASSIFICATION BASED ON MULTI-RESOLUTION SATELLITE DATA

  • HE WENJU;QIN HUA;SUN WEIDONG
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2005년도 Proceedings of ISRS 2005
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    • pp.116-119
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    • 2005
  • As to the synthetical estimation of land covering parameters or the compounded land covering classification for multi-resolution satellite data, former researches mainly adopted linear or nonlinear regression models to describe the regression relationship of land covering parameters caused by the degradation of spatial resolution, in order to improve the retrieval accuracy of global land covering parameters based on 1;he lower resolution satellite data. However, these methods can't authentically represent the complementary characteristics of spatial resolutions among different satellite data at arithmetic level. To resolve the problem above, a new compounded land covering classification method at arithmetic level for multi-resolution satellite data is proposed in this .paper. Firstly, on the basis of unsupervised clustering analysis of the higher resolution satellite data, the likelihood distribution scatterplot of each cover type is obtained according to multiple-to-single spatial correspondence between the higher and lower resolution satellite data in some local test regions, then Parzen window approach is adopted to derive the real likelihood functions from the scatterplots, and finally the likelihood functions are extended from the local test regions to the full covering area of the lower resolution satellite data and the global covering area of the lower resolution satellite is classified under the maximum likelihood rule. Some experimental results indicate that this proposed compounded method can improve the classification accuracy of large-scale lower resolution satellite data with the support of some local-area higher resolution satellite data.

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