• 제목/요약/키워드: linear closed-form solution

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마찰감쇠기가 설치된 건물 응답의 근사해 : 재 고찰 및 새로운 결과 (Approximate solution for a building installed with a friction damper : revisited and new result)

  • 민경원;성지영;이성경
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2009년도 추계학술대회 논문집
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    • pp.850-854
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    • 2009
  • Approximate analysis for a building installed with a friction damper is revisited to get insight of its dynamic behavior. Energy balance equation is used to have a closed analytical form solution of dynamic magnification factor (DMF) for the building with combined viscous and friction damping. It is found out that DMF is dependent on friction force ratio and resonance frequency. Linear transfer function from input external force to output building displacement is obtained by simplifying DMF equation. Root mean square of building displacement is derived under earthquake-like random excitation. Finally, design of friction damper is proposed by processing target control ratio, damping ratio factor, and friction force in sequence.

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일반적 3R 링크를 갖는 6각 보행로봇 다리의 보행체적에 대한 해석 (Analysis on the Walking Volumes of a Hexapod System with General 3R Link Legs)

  • 한규범;양창일;백윤수
    • 대한기계학회논문집A
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    • 제20권7호
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    • pp.2205-2212
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    • 1996
  • In order to move the body of a walking robot translationally, and step over the obstacles, the walking robot must have at least 3 degrees of freedom for each leg. Therefore each leg of the general walking robots can be composed of 3-link system with 3 revolute joints. In this paper, the colsed form of inverse kinimatic solutions is shown for this general 3R linkage. Moreover, in order to have efficient walking volume in rough terrain, the workspace of each log is obtained considering the twist angles and the offsets in D-H parameters. When we design a walking robot, the information of the walking volume is needed for planning desired trajectories of the feet effectively. Appropriate knowledge of the walking volume can also be used to maximize linear or angular velocity of minimize power of stress. However, since it is impossible to obrain the information of walking volume in 3-D space directly from the kinematic equations, the walking volume can be searched through the edge detection algorithm using the triangle tracer with closed from inverse kinematic solutions. In this study, we present the closed form inverse kinematic solutions for 3R linkage model, and the walking volume of 6 legged walking robot which is modeled after the darking bettle, Eleodes obscura sulcipennis, through the method of edge detection for an arbitrary 2 dimensional shape using triangle tracer.

Simple solutions of an opening in elastic-brittle plastic rock mass by total strain and incremental approaches

  • Park, Kyungho
    • Geomechanics and Engineering
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    • 제13권4호
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    • pp.585-600
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    • 2017
  • This study deals with simple solutions for a spherical or circular opening excavated in elastic-brittle plastic rock mass compatible with a linear Mohr-Coulomb (M-C) or a nonlinear Hoek-Brown (H-B) yield criterion. Based on total strain approach, the closed-form solutions of stresses and displacement are derived simultaneously for circular and spherical openings using original H-B and M-C yield criteria. Two simple numerical procedures are proposed for the solution of generalized H-B and M-C yield criteria. Based on incremental approach, the similarity solution is derived for circular and spherical openings using generalized H-B and M-C yield criteria. The classical Runge-Kutta method is used to integrate the first-order ordinary differential equations. Using three data sets for M-C and H-B models, the results of the radial displacements, the spreading of the plastic radius with decreasing pressure, and the radial and circumferential stresses in the plastic region are compared. Excellent agreement among the solutions is obtained for all cases of spherical and circular openings. The importance of the use of proper initial values in the similarity solution is discussed.

내압이 작용하는 직관과 엘보우의 경계면에 존재하는 원주방향 관통균열의 응력확대계수 및 탄성 균열열림변위 예측식 (Closed-Form Solutions for Stress Intensity Factor and Elastic Crack Opening Displacement for Circumferential Through-Wall Cracks in the Interface between an Elbow and a Straight Pipe under Internal Pressure)

  • 장윤영;정재욱;허남수;김기석;조우연
    • 한국생산제조학회지
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    • 제24권5호
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    • pp.553-560
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    • 2015
  • Fracture mechanics analysis for cracked pipes is essential for applying the leak-before-break (LBB) concept to nuclear piping design. For LBB assessment, crack instability and leak rate should be predicted accurately for through-wall cracked pipes. In a nuclear piping system, elbows are connected with straight pipes by circumferential welding; this weld region is often considered a critical location. Hence, accurate crack assessment is necessary for cracks in the interface between elbows and straight pipes. In this study, the stress intensity factor (SIF) and elastic crack opening displacement (COD) were estimated through detailed 3D elastic finite element (FE) analyses. Based on the results, closed-form solutions of shape factors for calculating the SIFs and elastic CODs were proposed for circumferential through-wall cracks in the abovementioned interfaces under internal pressure. In addition, the effect of the elbow on shape factors was investigated by comparing the results with the existing solutions for a straight pipe.

높은 안테나 상관도를 갖는 다중입출력 공간 다중화 시스템을 위한 통계적 프리코딩 기법 (Statistical Precoder Design for Spatial Multiplexing Systems in Correlated MIMO Fading Channels)

  • 문성현;김진성;이인규
    • 한국통신학회논문지
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    • 제36권3A호
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    • pp.223-231
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    • 2011
  • 다중입출력 공간 다중화 시스템은 송수신 안테나 간 상관도가 있는 채널에서 심각한 성능 열화를 겪는다. 본 논문에서는 ML (maximum likelihood) 수신기를 결합한 다중입출력 무선통신 환경을 위해, 송신단에서 채널상관 행렬 정보만을 활용한 새로운 통계적 프리코딩 기법을 소개한다. 우리는 다차원 심볼 성상의 최소 유클리디언 거리를 최대화하는 두 가지 간단한 형식의 (closed-form solution) 프리코더, 회전 변환 및 파워 로딩 기법을 제안한다. 또한, 제안한 기법을 선형 zero-forcing (ZF) 수신기에 확장 적용하여 성능을 향상시키는 방법을 고안한다. 실험 결과를 통해 제안하는 기법은 ML 수신기 및 ZF 수신기에서 기존의 기법에 비하여 각각 2dB 및 8dB의 비트 에러율 성능 이득을 제공함을 확인할 수 있다.

A Modified Shooting Method Technique for the Analysis of the Limited Slip Capacity of UHPFRC-NC Composite Structure

  • Han, Sang-Mook;Wu, Xiangguo;Kim, Sung-Wook;Kang, Su-Tae
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2008년도 춘계 학술발표회 제20권1호
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    • pp.1061-1064
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    • 2008
  • Shear connectors have a finite slip capacity because of the mechanism by which they transfer the shear between UHPFRC and NC elements. At high degree of shear connection, non-linear analysis techniques are required to allow for compressive plasticity and tensile cracking behaviour of the elements. As with all non-linear problems, a closed form solution is difficult to find. A Modified Shooting Method Technique is developed here for non-linear analysis of UHPFRC/concrete composite. The initial effective moment is derived according to the prestressing force. The composite structure is divided into small segments which length is much less than the length of the structure and it can be assumed that the forces and displacements within each segment are constant. An equivalent analysis in composite girders would be to fix the slip strain in each segment and develop a moment curvature relationship for this slip strain in each segment. Additive forces and moment analysis on each section of the segments are analyzed by MSMT. Finally the ultimate slippage of the interface can be evaluated by the MSMT model. This paper presents a nonlinear analysis method for limited slip capacity of UHPFRC-NC interface.

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非壓縮 粘彈性 圓筒體의 熱荷重 解析 (Thermal load analysis in an incompressible linear visco-elastic cylinder bonded to an elastic shell)

  • 이영신;최용규
    • 대한기계학회논문집
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    • 제11권2호
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    • pp.205-213
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    • 1987
  • 본 논문에서는 비압축 선형 점탄성재료를 원통체로 모델화하여 열하중에 대한 거동을 점유적 시간증분과정을 적용하여 수치해를 제시하고 원통체를 제작실험하여 변 형과 비파괴검사를 통해 측정하여 비교검토하였다. 또한 이론적 수치해와 시편과의 안전율을 각 파괴기준(failure criteria)에 적용하여 비파괴검사결과와 비교하였다.

고-휘도 텔레비전 방송을 위한 개선된 빠른 휘도 조절 기법 (Enhanced Fast Luma Adjustment for High Dynamic Range Television Broadcasting)

  • 오경석;김용구
    • 방송공학회논문지
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    • 제23권2호
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    • pp.302-315
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    • 2018
  • 지각 양자기 광전 변환 함수의 생략 Taylor 급수를 이용한 선형 근사는 휘도 조절 기법의 하드웨어 구현에 적합한 폐쇄형 솔루션을 제공할 수 있지만, 600~3,900 cd/m2 구간의 선형 영역 광 신호에 대해 상대적으로 큰 근사 오차를 유발한다. 이러한 비-선형 광전 변환 함수의 근사 오차 개선을 위해, 본 논문에서는 새로운 선형 모델을 제안한다. 제안된 선형 근사 모델은 그 근사 범위를 고려한 직선의 위치 교정 및 기울기 산출을 수행한다. 제안 모델의 성능 검증을 위해, 다양한 고-휘도 실험 시퀀스를 대상으로 모의실험을 수행하였고, 이를 통해 채도가 높은 색상을 포함하는 시퀀스에 대해서는, Taylor 급수를 기반으로 한 기존의 선형 모델에 비해, 휘도 신호의 t-PSNR을 4.65dB 만큼 개선할 수 있는 높은 성능 향상을 확인하였다.

Optimal buffer size control of serial production lines with quality inspection machines

  • Han, Man-Soo;Lim, Jong-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 Proceedings of the Korea Automatic Control Conference, 11th (KACC); Pohang, Korea; 24-26 Oct. 1996
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    • pp.350-353
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    • 1996
  • In this paper, based on the performance analysis of serial production lines with quality inspection machines, we develope an buffer size optimization method to maximize the production rate. The total sum of buffer sizes are given and a constant, and under this constraint, using the linear approximation method, we suggest a closed form solution for the optimization problem with an acceptable error. Also, we show that the upstream and downstream buffers of the worst performance machine have a significant effect on the production rate. Finally, the suggested methods are validated by simulations.

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장애물을 갖는 밀폐공간의 비정상 유동특성에 관한연구 (A Study on Unsteady Flow Characteristics of Closed Cavity with Obstacle)

  • 조대환
    • Journal of Advanced Marine Engineering and Technology
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    • 제23권2호
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    • pp.176-183
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    • 1999
  • This paper is aimed to investigate behaviour of vortex in 2-D step cavity with high Reynolds numbers$(3.2{\times}10^{3},\;10^{4},\;3{\times}10^{4},\;5{\times}10^{4}\;and\;7{\times}10^{4})$. The SOLA algorithm which is MAC type was adopted to solution method computing the flow field on irregular grid. In case of $Re=7{\times}10^{4}$ flow behavior is steady bu periodic unsteady sinusoidal fluctuation of local velocity and kinetic energy is found for $Re=10^{4}$ Continuous movements of small eddies in the secondary flow regions are discov-ered for $3{\times}10^{4}$ Generation of eddies and their active migrating behavior are detected over $Re=5{\times}10^{4}$ resulting in complete unsteady and non-linear flow characteristics Furthermore a typhoon-like vortex(TLV) appears intermittently and rotates along the separation regions and boundary layers.

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