• 제목/요약/키워드: Catenary Equation

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A Study on Moored Floating Body using Non-linear FEM Analysis

  • Ku, Namkug
    • Journal of Advanced Research in Ocean Engineering
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    • 제4권1호
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    • pp.25-34
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    • 2018
  • In this study, the behavior of the coupled mooring system and floating body is analyzed. The related works are introduced for the mooring analysis of the floating body. Equations motion are introduced for calculating mooring force connected with the floating body. For formulating the equations of motion, the concept of the constrained force is applied for compact expression of it. The input and output data of the module for calculating mooring force is defined. The static analysis and quasi-static analysis are performed. For the analysis, equilibrium equation for elastic catenary mooring line is used by employing finite element method, and the C# solver is developed in this research. The analysis results are validated by comparing with other research results.

단자망을 이용한 직류전기철도 해석방안에 관한 연구 (A Study on Analysis Method of DC Electric Railroad using Terminal Network Analysis)

  • 이장무;장동욱;김재원;한문섭;정환수;김주락
    • 전기학회논문지
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    • 제65권11호
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    • pp.1913-1918
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    • 2016
  • In order to analyze the power consumption pattern of the DC urban rail system, the method to obtain a solution establishing the current equation according to fixed position of the substation and varying position of the train is used. The proposed analysis method using the network analysis is to model the transfer function of the component constituting a direct current power supply system (dc substation, train, catenary) to the voltage and current. By multiplying the model formula consecutive, it can calculate the voltage and current of each element of power supply circuit and shows a simple case analysis.

Free vibrations of inclined arches using finite elements

  • Chucheepsakul, Somchai;Saetiew, Wasuroot
    • Structural Engineering and Mechanics
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    • 제13권6호
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    • pp.713-730
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    • 2002
  • This paper presents a finite element approach for determining the natural frequencies for planar inclined arches of various shapes vibrating in three-dimensional space. The profile of inclined arches, represented by undeformed centriodal axis of cross-section, is defined by the equation of plane curves expressed in the rectangular coordinates which are : circular, parabolic, sine, elliptic, and catenary shapes. In free vibration state, the arch is slightly displaced from its undeformed position. The linear relationship between curvature-torsion and axial strain is expressed in terms of the displacements in three-dimensional space. The finite element discretization along the span length is used rather than the total are length. Numerical results for arches of various shapes are given and they are in good agreement with those reported in literature. The natural frequency parameters and mode shapes are reported as functions of two nondimensional parameters: the span to cord length ratio (e) and the rise to cord length ratio (f).

다점 계류된 원유 저장선에 대한 표류 운동 해석 (Drift Motion Analyses for a FPSO with Spread Mooring Systems)

  • 이호영;임춘규;신현경
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2001년도 춘계학술대회 논문집
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    • pp.222-227
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    • 2001
  • The time simulation of slow drift motions of moored FPSO in waves is presented. The equation of motion based on Cummin's theory of impulse responses are employed, and are consisted of horizonal plane -surge, sway and yaw. The added mass coefficients, wave damping coefficients, first order wave exciting forces and the second order wave drift forces involved in the equations are obtained from a three-dimensional panel method in the frequency domain. The mooring lines are modeled quasistatically as catenary for chains and touchdown. As for numerical example, time domain analyses are carried out for a box-type FPSO in long crest irregular wave condition.

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다점 계류된 원유 저장선에 대한 저주파수 운동 해석 (Slow Drift Motion Analyses for a FPSO with Spread Mooring Systems)

  • 이호영;박종환;곽영기
    • 한국해안해양공학회지
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    • 제13권3호
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    • pp.195-201
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    • 2001
  • 본 논문은 파랑중에 다전 계류된 원유저장선에 대한 저주파수 운동을 수치 모사하였다. 시간영역에서의 운동방정식은 충격응답함수를 포함하여 수평면상의 운동 즉 전후, 좌우 및 선수 운동을 고려하였다. 시간영역의 운동방정식에 나타난 부가질량, 파랑감쇠계수, 1차항 파랑 강제력 그리고 2차항 파랑 강제력을 주파수 영역의 특이점 분포법을 사용하여 계산하였고, 다점 계류된 계류삭은 체인이 해저면에 닿은 운동 효과를 포함하여 준 정적 현수선 이론으로 산정되었다. 계산 예로서 장파정 불규칙 파랑 중에 놓인 바아지식 원유저장선에 대한 시간 영역 해석을 수행하였다.

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유동안정성 및 유동소음을 고려한 팬터그래프 팬헤드 단면의 강건설계 (Robust Design of Pantograph Panhead Sections Considering Aerodynamic Stability and Noise)

  • 조운기;이종수
    • 한국소음진동공학회논문집
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    • 제13권2호
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    • pp.83-91
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    • 2003
  • Pantograph design Process must be considered in terms of stability of aerodynamics and reduction of aeroacoustics. Furthermore pantograph needs to be insensible to severe circumstance condition like typhoon, tunnel, a change of season. In this paper, robust design of panhead sections is conducted based on the Taguchi's design of experiment method. In the aeroacoustic noise analysis, an acoustic analogy using the Ffowcs Williams and Hawkings(FW-H) equation is used to calculate the flow induced sound pressure level in aeroacoustics. From the near-field CFD analysis data, the far-field noise is predicted at the positions of 25 m away from Pantograph. Based on aerodynamic(CFD) and aeroacoustic(FW-H) analysis data, the optimal sizing and Positioning of panhead elements are determined using robust design optimization method. Design parameters such as thickness, length and radius are controllable factors, while outdoor air temperature and atmospheric pressure are considered as uncontrollable factors in the context of Taguchi's approach. A number of CFD simulation and aeroacoustic analysis are performed based on orthogonal arrays. In this paper, two-step optimization method is used as a parameter design procedure. It is executed using signal to noise(S/N) ratio and analysis of means(ANOM) method. So Thus, an optimal level of design parameters Is extracted to minimize the disconnection ration between contact strips and catenary system, and reduce the far-field aeroacoustic noise.

유동안정성 및 유동소음을 고려한 판토그라프 팬헤드 단면의 강건설계 (Robust Design of Pantograph Panhead Sections Considering Aerodynamic Stability and Noise)

  • 조운기;이종수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 추계학술대회논문집 II
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    • pp.1235-1241
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    • 2001
  • Pantograph design process must be considered in terms of stability of aerodynamics and reduction of aeroacoustics. Furthermore Pantograph needs to be insensible to severe circumstance condition like typhoon, tunnel, a change of season. In this paper, robust design of panhead sections is conducted based on the Taguchi's design of experiment method. In the aeroacoustic noise analysis, an acoustic analogy using the Ffowcs Williams and Hawkings (FW-H) equation is used to calculate the flow induced sound pressure level. From the near-field CFD analysis data, the far-field noise is predicted at the positions of 25m away from panhead contact strips. Based on aerodynamic (CFD) and aeroacoustic (FW-H) analysis data, the optimal sizing and positioning ofpanhead elements are determined using robust design optimization method. Design parameters such as thickness, length and radius are controllable factors, while outdoor air temperature and atmospheric pressure are considered as uncontrollable factors in the context of Taguchi's approach. A number of CFD simulation and aeroacoustic analysis are performed based on orthogonal arrays. Using a parameter design procedure associated with signal-to-noise (SIN) ratio and sensitivity analysis, an optimal level of design parameters are extracted to minimize the disconnection ratio between contact strips and catenary system, and reduce the far-field aeroacoustic noise.

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탠덤 배치된 FPSO와 셔틀탱커의 비선형 운동 해석 (Nonlinear Motion Analysis of FPSO and Shuttle Tanker in a Tandem Configuration)

  • 임춘규;이호영;신현경
    • 대한조선학회논문집
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    • 제43권5호
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    • pp.560-567
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    • 2006
  • FPSO and shuttle tanker are connected to each other by a mooring hawser and a loading hose through which cargo oil is off-loaded. Even in mild sea-state. environmental loads can cause unstable large drift motions between two vessels in tandem off-loading operations, which may result in collision incidents. Accordingly. the analysis on the relative motion between two vessels due to the environmental loads should be investigated in initial design stage. In this study, the low speed maneuvering equation is employed to simulate nonlinear motions of FPSO and shuttle tanker. Low frequency wave drift forces including hydrodynamic interactions between two vessels are evaluated by near field approaches. Current loads are determined by mathematical model of MMG and wind loads are calculated by employing the wind spectrum according to the guidelines of API-RP2A. Mooring forces produced by turret mooring lines and a flexible hawser are modeled quasi-statically by catenary equations. The effect of environmental loads that affect nonlinear motion is investigated through variation in their magnitudes and the nonlinear motions between FPSO and shuttle tanker are simulated under wave, current and wind in time domain.

STATCOM을 이용한 교류 전기철도 급전시스템의 전압강하 보상 (Compensate Voltage Drop for Autotransformer-Fed AC Electric Railroad System with Single-Phase STATCOM)

  • 정현수;이승혁;김진오
    • 조명전기설비학회논문지
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    • 제16권5호
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    • pp.53-60
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    • 2002
  • 본 논문에서는 정전류 부하모델 교류 전기철도 AT 급전시스템을 회로망 해석법(Loop Equation Method)을 이용하여 실제 급전시스템과 유사하게 제약조건을 두고 여러 경우를 가정하여 모델링 하였다. 이 방법을 통해 앞으로 건설될 고속 전기철도 급전시스템의 전력품질에 영향을 줄 수 있는 전압강하에 주안점을 두고 정상급전의 경우뿐만 아니라 연장급전의 경우를 새롭게 확대 해석하였으며 이 결과를 동적 시뮬레이션 프로그램인 PSCAD /EMTDC를 이용하여 그 정확성과 실용성을 검증하였다. 또한 사례연구를 통해 전압 보상기를 설치하지 않는 경우와 STATCOM을 설치한 경우의 전압강하 보상효과를 PSCAD/EMTDC로 시뮬레이션 하여 검증하였다.

Ohm의 법측(法測)을 이용(利用)한 물 이동(移動)의 수학적(數學的) 해석(解析) (A Mathematical Analysis of Water Flow Model Using Ohm's Analogy)

  • 정영상
    • 한국토양비료학회지
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    • 제14권1호
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    • pp.1-7
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    • 1981
  • 토양(土壤)-근계(根系)에 있어서 물 흡수이동(吸收移動)을 ohm의 법측(法測)을 이용(利用)하여 전기회로(電氣回路) 상사모형(相似模型)으로 표현(表現)하고 그 계(系)의 분석해(分析解)를 구(求)하였다. 그 결과(結果) 토양계(土壤系)의 "유효토양수(有效土壤水) Potential($\hat{\psi}_s$)"과 근계(根系)의 "유효근저항(有效根抵抗)($\hat{R}_{\tau}$)"을 정의(定義)하였다. $$\hat{\psi}_s-\hat{R}_{\tau}g_{\tau}={\psi}_0$$ 포장상태(圃場狀態)에서 얻어진 작물(作物)의 Crown water potential(${\psi}_0$)와 Radial resistance(Ra) 및 Axial resistance(Rx)를 근거(根據)로 이 모형(模型)을 검정(檢定)한 결과(結果) 그 타당성이 인정(認定)되었으며 앞으로 토양(土壤)-근계(根系)의 물 이동(移動) 측면(側面)에서 유효토양수분량(有效土壤水分量)과 뿌리의 역할(役割)을 구명(究明)하는데 중요(重要)한 의미(意味)를 갖고 있다고 판단(判斷)된다.

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