• 제목/요약/키워드: simultaneous equations

검색결과 295건 처리시간 0.019초

Whole learning algorithm of the neural network for modeling nonlinear and dynamic behavior of RC members

  • Satoh, Kayo;Yoshikawa, Nobuhiro;Nakano, Yoshiaki;Yang, Won-Jik
    • Structural Engineering and Mechanics
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    • 제12권5호
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    • pp.527-540
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    • 2001
  • A new sort of learning algorithm named whole learning algorithm is proposed to simulate the nonlinear and dynamic behavior of RC members for the estimation of structural integrity. A mathematical technique to solve the multi-objective optimization problem is applied for the learning of the feedforward neural network, which is formulated so as to minimize the Euclidean norm of the error vector defined as the difference between the outputs and the target values for all the learning data sets. The change of the outputs is approximated in the first-order with respect to the amount of weight modification of the network. The governing equation for weight modification to make the error vector null is constituted with the consideration of the approximated outputs for all the learning data sets. The solution is neatly determined by means of the Moore-Penrose generalized inverse after summarization of the governing equation into the linear simultaneous equations with a rectangular matrix of coefficients. The learning efficiency of the proposed algorithm from the viewpoint of computational cost is verified in three types of problems to learn the truth table for exclusive or, the stress-strain relationship described by the Ramberg-Osgood model and the nonlinear and dynamic behavior of RC members observed under an earthquake.

Harmonic differential quadrature (HDQ) for axisymmetric bending analysis of thin isotropic circular plates

  • Civalek, Omer;Ulker, Mehmet
    • Structural Engineering and Mechanics
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    • 제17권1호
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    • pp.1-14
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    • 2004
  • Numerical solution to linear bending analysis of circular plates is obtained by the method of harmonic differential quadrature (HDQ). In the method of differential quadrature (DQ), partial space derivatives of a function appearing in a differential equation are approximated by means of a polynomial expressed as the weighted linear sum of the function values at a preselected grid of discrete points. The method of HDQ that was used in the paper proposes a very simple algebraic formula to determine the weighting coefficients required by differential quadrature approximation without restricting the choice of mesh grids. Applying this concept to the governing differential equation of circular plate gives a set of linear simultaneous equations. Bending moments, stresses values in radial and tangential directions and vertical deflections are found for two different types of load. In the present study, the axisymmetric bending behavior is considered. Both the clamped and the simply supported edges are considered as boundary conditions. The obtained results are compared with existing solutions available from analytical and other numerical results such as finite elements and finite differences methods. A comparison between the HDQ results and the finite difference solutions for one example plate problem is also made. The method presented gives accurate results and is computationally efficient.

다중캡쳐 특성의 단일확산코드 CDMA 패킷 라디오 시스팀들의 성능 분석 (Performance Analysis of Common Spreading Code CDMA Packet Radio Systems with Multiple Capture Capability)

  • 김동인
    • 한국통신학회논문지
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    • 제16권12호
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    • pp.1286-1299
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    • 1991
  • 본 논문은 단일확산코드 CDMA 방식의 중앙 집중 패킷 라디오 시스팀들을 위한 다중캡쳐 모델을 적시하였다. 중양 수신기에서 collision-free, 헤더 검출, 다중캡쳐 확률들을 계산하기 위한 기본식들을 유도하였다 포락선(envelope) 헤더 검출방식과 차동(differential) 데이타 검출방식을 결합한 hybrid 시스팀에 평균 패킷캡쳐의 수, 동시전송가능한 패킷의 수, 시스팀 throughput 등 link 레벨의 성능들이 이론적으로 평가되었다. 포락선 또는 차동 헤더 검출방식의 중앙 수신기에 대해 블럭별 회로의 BOSS 시뮬레이션을 축행하였다. 데이타패킷 성공확률에 threshold 모델을 적용하여 다중캡쳐 모델이 시스팀의 throughput을 현저히 증가시킬 수 있음을 확인하였다.

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스텝 펄스파를 사용하는 캐스케이드 인버터에서 스위치의 간단한 도통각 계산법 (A Simple Method for Conducting Angle Calculation of Switching Devices in Cascaded Inverters Using Step Pulse Waves)

  • 김형창;김태진;강대욱;현동석
    • 전력전자학회논문지
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    • 제8권6호
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    • pp.488-495
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    • 2003
  • 최근에 높은 전력과 전압의 적용을 위한 방법으로써 PWM 방법보다는 스텝 펄스파를 이용해 출력 전압 레벨을 조합하는 멀티레벨 인버터가 폭 넓게 사용되어지고 있다. 이 방식은 도통각을 통해 한주기에 한번만 온, 오프 하기 때문에 스위칭 손실 측면에서 유리한 특성을 갖는다. 본 논문에서는 도통각을 얻는 간단한 방법을 제안하며 이 방법은 출력 전압 레벨에 의해 나누어진 기준 전압 파형의 전압-시간 면적들을 통해 인버터의 출력 스텝 펄스파를 구성한다. 또한 제안한 방법은 근사법에 의한 연립방정식의 해를 구할 필요가 없기 때문에 기존의 방법과는 달리 계산량을 줄일 수 있고 온 라인에 의해 도통각을 얻을 수 있는 장점이 있다.

수직원관형 GAX 흡수기 내부의 열 및 물질전달과정에 대한 수치모델 (A Numerical Model for Heat and Mass Transfer Processes within a Vertical Tube GAX Absorber)

  • 천태식;정은수
    • 설비공학논문집
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    • 제12권1호
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    • pp.102-111
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    • 2000
  • A numerical model which simulates the simultaneous heat and mass transfer within a vertical tube GAX absorber was developed. The ammonia vapor and the solution liquid are in counter-current flow, and the hydronic fluid flows counter to the solution liquid. The film thickness and the velocity distribution of the liquid film were obtained by matching the shear stress at the liquid-vapor interface. Two-dimensional diffusion and energy equations were solved in the liquid film to give the temperature and concentration, and a modified Colburn-Drew analysis was used for the vapor phase to determine the heat and mass fluxes at the liquid-vapor interface. The model was applied to a GAX absorber to investigate the absorption rates, temperature and concentration profiles, and mass flow rates of liquid and vapor phases. It was shown that the mass flux of water was negligible compared with that of ammonia except the region near the liquid inlet. Ammonia absorption rate increases rapidly near the liquid inlet and decrease slowly. Both the absorption rate of ammonia vapor and the desorption rate of water near the liquid inlet increase as the vapor mass flow rate increases, but the mass fluxes of the ammonia and the water near the liquid outlet decrease as the mass flow rate of the vapor increases.

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혼합물 실험 계획법을 활용한 세정용 계면활성제 혼합물 조성의 최적화 (Optimization of Surfactant Mixture Composition for Cleansing Using Mixture Experiment Design)

  • 송마리아;진병석
    • 공업화학
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    • 제32권5호
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    • pp.574-580
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    • 2021
  • 최고 품질의 클렌징 제품 개발을 위해서 계면활성제 혼합물 조성의 최적화를 시도하였다. 사전실험을 통해 세정력, 기포형성력, 오염률에서 각각 우수한 특성을 나타내는 계면활성제 3종 sodium cocoyl alaninate (SCoA), cocamidopropyl betaine (CPB), decyl glucoside (DG)을 선정하였다. 계면활성제 혼합물의 심플렉스 중심 설계 배열에 따른 실험을 수행하고, 실험에서 얻어진 데이터를 가지고 회귀분석을 실시하였다. 통계적으로 유의미한 반응 표면 모델식을 구하고, 세 개의 반응변수의 동시 최적화 과정을 통해 계면활성제 혼합물의 최적 조성은 SCoA (0.22), CPB (0.78), DG (0.00)으로 구해졌다.

Probabilistic assessment on buckling behavior of sandwich panel: - A radial basis function approach

  • Kumar, R.R.;Pandey, K.M.;Dey, S.
    • Structural Engineering and Mechanics
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    • 제71권2호
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    • pp.197-210
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    • 2019
  • Probabilistic buckling behavior of sandwich panel considering random system parameters using a radial basis function (RBF) approach is presented in this paper. The random system properties result in an uncertain response of the sandwich structure. The buckling load of laminated sandwich panel is obtained by employing higher-order-zigzag theory (HOZT) coupled with RBF and probabilistic finite element (FE) model. The in-plane displacement variation of core as well as facesheet is considered to be cubic while transverse displacement is considered to be quadratic within the core and constant in the facesheets. Individual and combined stochasticity in all elemental input parameters (like facesheets thickness, ply-orientation angle, core thickness and properties of material) are considered to know the effect of different degree of stochasticity, ply- orientation angle, boundary conditions, core thickness, number of laminates, and material properties on global response of the structure. In order to achieve the computational efficiency, RBF model is employed as a surrogate to the original finite element model. The stiffness matrix of global response is stored in a single array using skyline technique and simultaneous iteration technique is used to solve the stochastic buckling equations.

Bending analysis of doubly curved FGM sandwich rhombic conoids

  • Ansari, Md I.;Kumar, Ajay;Bandyopadhyaya, Ranja
    • Structural Engineering and Mechanics
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    • 제71권5호
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    • pp.469-483
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    • 2019
  • In this paper, an improved mathematical model is presented for the bending analysis of doubly curved functionally graded material (FGM) sandwich rhombic conoids. The mathematical model includes expansion of Taylor's series up to the third degree in thickness coordinate and normal curvatures in in-plane displacement fields. The condition of zero-transverse shear strain at upper and lower surface of rhombic conoids is implemented in the present model. The newly introduced feature in the present mathematical model is the simultaneous inclusion of normal curvatures in deformation field and twist curvature in strain-displacement equations. This unique introduction permits the new 2D mathematical model to solve problems of moderately thick and deep doubly curved FGM sandwich rhombic conoids. The distinguishing feature of present shell from the other shells is that maximum transverse deflection does not occur at its center. The proposed new mathematical model is implemented in finite element code written in FORTRAN. The obtained numerical results are compared with the results available in the literature. Once validated, the current model was employed to solve numerous bending problems by varying different parameters like volume fraction indices, skew angles, boundary conditions, thickness scheme, and several geometric parameters.

Simultaneous Equations and Endogeneity in Corporate Finance: The Linkage between Institutional Ownership and Corporate Financial Performance

  • MALIK, Qaisar Ali;HUSSAIN, Shahzad;ULLAH, Naeem;WAHEED, Abdul;NAEEM, Muhammad;MANSOOR, Muhammad
    • The Journal of Asian Finance, Economics and Business
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    • 제8권3호
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    • pp.69-77
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    • 2021
  • The objective of this research is to explore the inconclusive theoretical and empirical association between institutional ownership and firm performance in the context of emerging Pakistani economy. The data set consists of all the non-financial firms listed on the Pakistan Stock Exchange (PSX). Annual data set covers the period ranging from 2010 to 2015. However, the econometric analysis does not include those firms with incomplete data. Thus the final data set comprised of an unbalanced panel of sample of 276 firms with 1231 firms years observations. Data related to the institutional ownership and other variables taken for the study were extracted through the annual financial reports of the firms. The research used Tobin's Q as a proxy of market measure of firm performance and tested the endogenous relation with institutional ownership through OLS and 2SLS approach. The study also applied Durbin-Wu-Hausman test to determine the endogeneity before analyzing the 2SLS model. The Durbin-Wu-Hausman Test (DWH) conform the endogenous link between institutional ownership and performance and vice versa. The results derived from 2SLS also confirm a highly significant relationship and two way direct proportional relationships between the institutional investment and corporate performance in the studied companies.

수학적 대상으로서의 공집합 (The Empty Set as a Mathematical Object)

  • 유미영;최영기
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제35권4호
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    • pp.413-423
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    • 2021
  • 수학적 대상 중 하나인 공집합에 대하여 고찰해본다. 공집합과 관련된 학생들의 다양한 오개념과 그 원인을 살펴보고 역사적 공집합의 도입배경과 이와 관련된 집합론의 공리계를 살펴본다. 순수한 개념적 대상인 공집합을 통하여 수학적 대상의 속성을 알아보고, 공리적 집합론에 기반하였다고 알려진 현대 철학자 알랭 바디우(Alian Badiou)의 존재론을 살펴본다. 이상의 논의를 바탕으로 연립방정식의 해와 해집합을 집합을 통해 설명하고 이와 관련하여 공집합의 존재성이 갖는 의미를 고찰하여본다. 이러한 관점으로 집합적 사고를 재해석해보고, 수학의 공리적 철학적 측면이 갖는 의의를 제시한다.