• Title/Summary/Keyword: 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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    • v.4 no.1
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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.

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

  • Lee, Chang-Mu;Jang, Dong-Uk;Kim, Jae-Won;Han, Mun-Seup;Jung, Hwan-Su;Kim, Joo-Rak
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.65 no.11
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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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    • v.13 no.6
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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).

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

  • 이호영;임춘규;신현경
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2001.05a
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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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Slow Drift Motion Analyses for a FPSO with Spread Mooring Systems (다점 계류된 원유 저장선에 대한 저주파수 운동 해석)

  • 이호영;박종환;곽영기
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.13 no.3
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    • pp.195-201
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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 horizontal plane motions such as surge, sway and yaw. The added mass, wave damping coefficients, first order wave exciting forces and the second order wave drift forces involved in the equations are obtained from three-dimensional panel method in the frequency domain. The mooring lines are modeled as quasi-static catenary cable. As a numerical example, time domain analyses are carried out for a box-type FPSO in long crest irregular wave condition.

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

  • 조운기;이종수
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.13 no.2
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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.

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

  • 조운기;이종수
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11b
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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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Nonlinear Motion Analysis of FPSO and Shuttle Tanker in a Tandem Configuration (탠덤 배치된 FPSO와 셔틀탱커의 비선형 운동 해석)

  • Lim, Choon-Gyu;Lee, Ho-Young;Shin, Hyung-Young
    • Journal of the Society of Naval Architects of Korea
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    • v.43 no.5 s.149
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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.

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

  • 정현수;이승혁;김진오
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.16 no.5
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    • pp.53-60
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    • 2002
  • This paper presents exact autotransformer-fed AC electric railroad system modeling using constant current mode, and single-phase STATCOM(Static Synchronous Compensator) which has an effect on electric railroad system. An AC electric railroad is rapidly changing single-phase feeding electric power. To avoid voltage fluctuation under single phase loads, electric power should be received from a large source. The system modeling theory is based on the solution of algebraic. The AC electric railroad load model is nonlinear. Therefore this paper is considered nonlinear load using PSCAD/EMTDC. And the proposed modeling method is considered the line self-impedances and mutual-impedances that techniques for the AC electric railroad system modeling analysis, and that single-phase STATCOM can reliably compensate the voltage drop. In the case study, the allowance range of feeding voltage is 22.5∼27.5 kV, AT-fed AC electric railroad system circuit is analyzed by loop equation both normal and extension modes. The simulation objectives are to calculate the catenary and rail voltages with respect to ground, as the train moves along a section of line between two adjacent ATs. The results show that single-phase STATCOM can reduce the voltage drop in the feeding circuit and improve the power quality at AC electric railroad system by compensating the reactive power.

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

  • Jung, Yeong-Sang
    • Korean Journal of Soil Science and Fertilizer
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    • v.14 no.1
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    • pp.1-7
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    • 1981
  • A set of equations of a water transport model of the soil-plant system was described as an electrical circuit using the Ohm's analogy assuming that the transpirational pull be the main source of the driving force and the resistance be proportional to the inverse of the hydraulic conductivity of the catenary. The effective root resistance ($\hat{R}_{\tau}$) and the effective soil water potential ($\hat{\psi}_s$)were defined with the solution of the system; $$\hat{\psi}_s-\hat{R}_{\tau}g_{\tau}={\psi}_0$$ and the validity of the solution of the equation was demonstrated with the data obtained from a soybean field. ${\psi}_s$ and $R_{\tau}$ explained more reasonably than the average values taken so far. Therefore, the solution will describe the soil water status and the root resistance in terms of water transport in the soil-plant system.

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