• Title/Summary/Keyword: Simultaneous Equations

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Nonlinear vibration of laminated composite plates subjected to subsonic flow and external loads

  • Norouzi, Hamed;Younesian, Davood
    • Steel and Composite Structures
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    • 제22권6호
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    • pp.1261-1280
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    • 2016
  • We study chaotic motion in a nonlinear laminated composite plate under subsonic fluid flow and a simultaneous external load in this paper. We derive equations of motion of the plate using the von-$K{\acute{a}}rm{\acute{a}}n^{\prime}s$ hypothesis and the Hamilton's principle. Galerkin's approach is adopted as the solution method. We then conduct a divergence analysis to obtain critical velocities of the transient flow. Melnikov's integral approach is used to find the critical parameters in which chaos takes place. Effects of different parameters including the aspect ratio, plate material and the ply angle in laminates on the critical flow speed are investigated. In a parametric study, we show that how the linear and nonlinear stiffness of the plate and the load frequency and amplitude would influence the chaotic behavior of the plate.

Dynamic Condensation Method를 이용한 차량-교량계의 동적해석 (Dynamic Analysis of Vehicle-Bridge System by the Dynamic Condensation Method)

  • 한재익;이경동
    • 한국구조물진단유지관리공학회 논문집
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    • 제2권2호
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    • pp.177-184
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    • 1998
  • The equation of motion on the vehicle-bridge system is established as the simultaneous equations which are combined the equation of vehicle and bridge by the interaction elements. A vehicle element is modeled as lumped masses supported by springs and dashpots, and a bridge element with pavement roughness is modeled as beam elements. An interaction element is defined to consist of a bridge element and the suspension units of the vehicle resting on the element. By the dynamic condensation method, the degrees of the freedom are eliminated, and compared with all the degrees of freedom on the bridge, the efforts of calculation is decreased. Thus, although a very small computational error is occured, the present technique appears to be computationally more efficient. It is particularly suitable for the simulation of bridges with a series of vehicles moving on the deck.

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스타인메츠결선 자기여자 유도발전기의 운전특성 분석 (Analysis of Operating Characteristic of Self Excited Induction Generator with Steinmetz Connection)

  • 강상수;좌종근
    • 전기학회논문지P
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    • 제57권4호
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    • pp.383-387
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    • 2008
  • This paper analyzes the operation characteristics of a self excited induction generator with Steinmetz connection. For this analysis, the symmetrical components analysis is used to obtain the related expressions and the excitation capacitance and the magnetizing reactance are determined in turn by the condition of self excitation which includes the input impedance of the generator as viewed across load terminals. Two simultaneous equations of the condition of self excitation itself are solved by using the real and imaginary function in an application software. This method is applied to simulate the operation characteristics when the generator is driven at rated speed and the specified excitation capacitor is connected across the lagging phase. The results show that better operation characteristics except generated frequency are obtained by using relatively large excitation capacitance and resistive load.

구조물의 방사음장을 계산하는 효율적인 방법 (An efficient method to predict the radiated pressure field from a vibrating structure)

  • 최성훈
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 추계학술대회논문집 II
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    • pp.1078-1082
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    • 2001
  • An alternative formulation of the Helmholtz integral equation is derived to express the pressure field explicitly in terms of the velocity vector of a radiating surface. This formulation, derived for arbitrary sources, is similar in form to the Rayleigh's formula for planar sources. Because the pressure field is expressed explicitly as a surface integral of the particle velocity, which can be implemented numerically using standard Gaussian quadratures, there is no need to use Boundary element method to solve a set of simultaneous equations for the surface pressure at the discretized nodes. Furthermore the non-uniqueness problem inherent in methods based on Helmholtz integral equation is avoided. Validation of this formulation is demonstrated for some simple geometries.

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제1차 교육과정기 중학교 수학교과서에 나타난 직선 관련 내용의 구성 및 전개 방식 분석 (Analysis on Korean Middle School Mathematics Textbooks Published in the 1st National Curriculum Period Centerea on the Concept 'Straight Line')

  • 도종훈
    • 한국수학사학회지
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    • 제30권2호
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    • pp.101-119
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    • 2017
  • This paper is a follow up study of [2]. In this paper we analyse the contents of middle school mathematics textbooks published in the 1st National Curriculum Period centered on the concept 'straight line' and discuss how they are different from contemporary mathematics textbooks in view of connectedness of contents, mathematical terms, textbook as a learning material vs. teaching material, relationship between contents of national curriculum and textbooks, and some topics related to direct proportion, function, method of equivalence as a method for solving simultaneous linear equations and so on. The results of our analysis and discussion suggest implications for reforming mathematics curriculum and developing mathematics textbooks.

Nonlinear analysis of reinforced concrete beam elements subject to cyclical combined actions of torsion, biaxial flexure and axial forces

  • Cocchi, Gian Michele;Tiriaca, Paolo
    • Structural Engineering and Mechanics
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    • 제17권6호
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    • pp.829-862
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    • 2004
  • This paper presents a method for the nonlinear analysis of beam elements subjected to the cyclical combined actions of torsion, biaxial flexure and axial forces based on an extension of the disturbed compression field (DSFM). The theoretical model is based on a hybrid formulation between the full rotation of the cracks model and the fixed direction of the cracking model. The described formulation, which treats cracked concrete as an orthotropic material, includes a new approach for the evaluation of the re-orientation of both the compression field and the deformation field by removing the restriction of their coincidence. A new equation of congruence permits evaluating the deformation of the middle line. The problem consists in the solution of coupled nonlinear simultaneous equations expressing equilibrium, congruence and the constitutive laws. The proposed method makes it possible to determine the deformations of the beam element according to the external stresses applied.

Analysis of Heavy Water Separation Cascade Using Bithermal ${H_2}$/$H_2$O Exchange Process

  • Ahn, Do-Hee;Paek, Seung-Woo;Lee, Han-Soo;Hongsuk Chung;Masami Shimizu
    • 한국원자력학회:학술대회논문집
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    • 한국원자력학회 1996년도 추계학술발표회논문집(2)
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    • pp.571-576
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    • 1996
  • The 3-stage cascade composed of the multisection-type bithermal $H_2$/$H_2O$-exchange columns was suggested for heavy water separation. In order to study the separation characteristics for the cascade, a matrix equation with 18 simultaneous equations was composed and the concentrations and flow rates were calculated for the all parts of the cascade. Product D-concentration decreases and extraction yield increases with increasing cut in each stage, which is one of the principal parameters of the separation characteristics. The optimization of the 3-stage cascade can be made by case study using the matrix equation.

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Repair policies of failure detection equipments and system availability

  • Na, Seongryong;Bang, Sung-Hwan
    • Communications for Statistical Applications and Methods
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    • 제29권2호
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    • pp.151-160
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    • 2022
  • The total system is composed of the main system (MS) and the failure detection equipment (FDE) which detects failures of MS. The analysis of system reliability is performed when the failure of FDE is possible. Several repair policies are considered to determine the order of repair of failed systems, which are sequential repair (SQ), priority repair (PR), independent repair (ID), and simultaneous repair (SM). The states of MS-FDE systems are represented by Markov models according to repair policies and the main purpose of this paper is to derive the system availabilities of the Markov models. Analytical solutions of the stationary equations are derived for the Markov models and the system availabilities are immediately determined using the stationary solutions. A simple illustrative example is discussed for the comparison of availability values of the repair policies considered in this paper.

경위도(經緯度) 좌표(座標) φ, λ에 의한 측지망(測地網)의 동시조정(同時調整) (Simultaneous Adjustment of Geodetic Networks by Geographical Coordinates φ, λ)

  • 백은기;이영진;최윤수
    • 대한토목학회논문집
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    • 제5권4호
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    • pp.121-127
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    • 1985
  • 본 논문(論文)에서는 경위도(經緯度) 좌표(座標)(${\varphi}$, ${\lambda}$)에 의해 측지망(測地網)을 동시조정(同時調整)하는 컴퓨터 프로그램을 작성하고, 1점(點) 1방향(方向) 고정(固定)인 경우와 자유망(自由網)조정의 두 경우를 검토하였다. 구성과(舊成果)를 초기치(初期値)로 이용하고 Hubeny 에 의해 확장된 Gauss 의 평균위도식(平均緯度式)을 사용하였으며, 좌표조정법(座標調整法)에 의해 조정계산(調整計算)을 실시하였다. 기준타원체(基準楕圓體)로는 Bessel 치를 사용하고, 관측(觀測)에 대한 중량(重量)을 1로 가정하였다. 우리 나라 일부지역의 실측(實測)데이타를 적용한 결과 평균위치오차(平均位置誤差)가 1점 1방향 고정의 경우 6.2cm, 자유망(自由網)의 경우는 2.4cm로 나타났다. 적용된 삼변망(三邊網)의 단위중량(單位重量)에 대한 표준오차(標準誤差)는 $1.66{\times}10^{-6}$ 라디안 (0.3")이고, 오차타원(誤差楕圓)을 분석한 결과 자유망(自由網)이 오차분배면에서 효과적임을 보여 주고 있다.

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정부연구개발사업의 성과창출요인에 관한 연구: IT와 CT산업을 중심으로 (A Study on the Factors Influencing Project Performance of Government R&D Program: Focusing on IT and CT Industry)

  • 고은옥;장필성;김연배
    • 기술혁신연구
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    • 제22권3호
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    • pp.261-286
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    • 2014
  • 막대한 예산이 투입된 정부연구개발사업에 대한 성과창출과 관리 등에 대해서 근래에 관심이 집중되고 있다. 이 연구에서는 정부연구개발사업의 혁신 및 사업화 성과 창출 경로를 추정할 수 있는 연립방정식 모형을 설계하여 산업에 따른 성과창출의 특성을 분석하였다. 이를 위해서 KEIT 산업기술혁신사업의 성과활용현황조사 데이터를 활용하였으며, 정보통신(IT) 산업과 화학(CT) 산업을 대상으로 하였다. 이 연구의 결과는 다음과 같다. 모든 기업들은 정부지원금을 통해 개발된 기술을 특허를 통해 보호하고 혁신을 파급시키는 역할을 하고 있었으나, 특허를 사업화하는 것은 IT 산업에서는 중소기업, CT 산업에서는 대기업으로 나타났다. 복합산업 성격인 IT 산업의 중소기업은 기업의 자체적인 혁신노력이 추가적으로 필요한 반면에 CT 산업의 중소기업은 기술개발과 사업화 성과 향상에 있어서 협력연구 등의 지원이 효과적이었다. 이러한 결과는 정부연구 개발사업으로 창출된 성과를 향상시키기 위해서 정부 정책 및 과제 기획 시 산업별 기업별 특성에 따라 주안점을 달리 해야 한다는 것을 시사한다.