• 제목/요약/키워드: Catenary equation

검색결과 54건 처리시간 0.031초

Dynamic response analysis of floating offshore wind turbine with different types of heave plates and mooring systems by using a fully nonlinear model

  • Waris, Muhammad Bilal;Ishihara, Takeshi
    • Coupled systems mechanics
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    • 제1권3호
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    • pp.247-268
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    • 2012
  • A finite element model is developed for dynamic response prediction of floating offshore wind turbine systems considering coupling of wind turbine, floater and mooring system. The model employs Morison's equation with Srinivasan's model for hydrodynamic force and a non-hydrostatic model for restoring force. It is observed that for estimation of restoring force of a small floater, simple hydrostatic model underestimates the heave response after the resonance peak, while non-hydrostatic model shows good agreement with experiment. The developed model is used to discuss influence of heave plates and modeling of mooring system on floater response. Heave plates are found to influence heave response by shifting the resonance peak to longer period, while response after resonance is unaffected. The applicability of simplified linear modeling of mooring system is investigated using nonlinear model for Catenary and Tension Legged mooring. The linear model is found to provide good agreement with nonlinear model for Tension Leg mooring while it overestimates the surge response for Catenary mooring system. Floater response characteristics under different wave directions for the two types of mooring system are similar in all six modes but heave, pitch and roll amplitudes is negligible in tension leg due to high restraint. The reduced amplitude shall lead to reduction in wind turbine loads.

Form-finding analysis of suspension bridges using an explicit Iterative approach

  • Cao, Hongyou;Zhou, Yun-Lai;Chen, Zhijun;Wahab, Magd Abdel
    • Structural Engineering and Mechanics
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    • 제62권1호
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    • pp.85-95
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    • 2017
  • This paper presents an explicit analytical iteration method for form-finding analysis of suspension bridges. By extending the conventional analytical form-finding method predicated on the elastic catenary theory, two nonlinear governing equations are derived for calculating the accurate unstrained lengths of the entire cable systems both the main cable and the hangers. And for the gradient-based iteration method, the derivation of explicit calculation for the Jacobian matrix while solving the nonlinear governing equation enhances the computational efficiency. The results from sensitivity analysis show well performance of the explicit Jacobian matrix compared with the traditional finite difference method. According to two numerical examples of long span suspension bridges studied, the proposed method is also compared with those reported approaches or the fundamental criterions in suspension bridge structural analysis, which eventually confirms the accuracy and efficiency of the proposed approach.

가공색도의 지주높이 최적치에 관한 연구 (A study on the optimal value for the towers height of the ropeway)

  • 최선호;박용수
    • 대한기계학회논문집
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    • 제12권2호
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    • pp.381-388
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    • 1988
  • 본 연구에서는 설계조건에 만족하는 정확한 지주높이를 얻기 위하여 엄밀해를 가진 현수곡선이론을 바탕으로 하여 설계변수들과의 관계를 유도 및 수식화 하였다. 이를 최적설계문제로 정의하여 필요한 제한조건을 만족시키는 범위 내에서 지주의 굴적각들을 최소로 줄이는 최적화지법을 도입하여 체계적인 설계방법을 제시 하였다. 해석에 관한 설계예의 모델을 선정하여 굴절각들을 비교.검토하고 실험을 통하여 확인하였다.

정전류 철도 부하를 이용한 교류 전기 철도 급전 시스템 해석 (Analysis for Autotransformer-Fed AC Electric Railroad System Using Constant Current Mode)

  • 이승혁;정현수;김진오
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2001년도 추계학술대회 논문집
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    • pp.329-334
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    • 2001
  • This paper presents exact autotransformer-fed AC electric railroad system modeling using constant current mode. The theory is based on the solution of algebraic. The proposed modeling is considered the line self-impedances and mutual-impedances. Besides, the load modeling improved results are obtained as application to the proposed constant current mode. In the analysis on AT-fed AC electric railroad system circuit, a generalized analysis method using the loop equation on a case by case. 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 model contains assumptions regarding the representation of the autotransformer, the impedance of the track/catenary system, and the grounding arrangements, which all effect the accuracy of the result. The modeling results seem very reasonable. It is established that techniques for the AC electric railroad system modeling and analysis.

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전차선로-집전계 주행시험기 추진용 고속 선형동기전동기의 최적설계 (Optimal Design of a High-Speed Linear Synchronous Motor in a Dynamic Tester for Catenary Current Collection)

  • 이형우;권삼영;이병송;박현준
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2006년도 추계학술대회 논문집
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    • pp.665-674
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    • 2006
  • This paper presents the optimal design of a high-speed (200[km/h]) Linear Synchronous Motor which will be used as a propulsion system of a dynamic tester for catenary-current collection used in railways. Motor performance, especially detent force minimization on various design schemes has been investigated in detail by using FEM (Finite Element Method). Simulation-based DOE (Design of Experiments) method is also applied in order to reduce the large number of analysis according to each design variable and consider the effect among variables. The optimal design in all aspects is proposed by an optimization algorithm using a regression equation derived from the simulation-based DOE and the performance is verified by FEM.

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Comparison of simplified model and FEM model in coupled analysis of floating wind turbine

  • Kim, Byoung Wan;Hong, Sa Young;Sung, Hong Gun;Hong, Seok Won
    • Ocean Systems Engineering
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    • 제5권3호
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    • pp.221-243
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    • 2015
  • This paper compares simplified and finite element method (FEM) models for tower and blade in dynamic coupled analysis of floating wind turbine. A SPAR type wind turbine with catenary mooring lines is considered in numerical analysis. Floating body equation is derived using boundary element method (BEM) and convolution. Equations for mooring line, tower and blade are formulated with theories of catenary, elastic beam and aerodynamic rotating beam, respectively and FEM is applied in the formulation. By combining the equations, coupled solutions are calculated. Tower or blade may be assumed rigid or lumped body for simplicity in modeling. By comparing floating body motions, mooring line tensions and tower stresses with the simple model and original FEM model, the effect of including or neglecting elastic, rotating and aerodynamic behavior of tower and blade is discussed.

조류 하중을 받는 탄성 현수선 케이블의 동적 해석 (Dynamic Analysis of Elastic Catenary Cable Subjected to Current)

  • 백인열;장승필;윤종윤
    • 한국지진공학회논문집
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    • 제2권2호
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    • pp.95-104
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    • 1998
  • 수중 케이블의 동적 거동은 비선형 거동을 보이게 되는데 특히 기하하적 비선형성에 크게 영향을 받는다. 또한, 유체의 흐름으로 인하여 동적 거동의 해석은 더욱 복잡하고 어려워지기 때문에 해석적인 접근 방법에는 한계가 있다. 본 연구에서는 탄성 현수선 케이블요소에 동수력을 고려할 수 있게 하였다. 즉, 동수력을 받는 3차원 탄성 현수선 케이블를 정식화하고, 정적 및 동적 해석을 수행할 수 있는 유한요소 방법을 제시하였다. 동수력은 수정된 Morison 방정식을 이용하여 산정하였다. 제시된 방법으로 구한 수중케이블에 관한 동적 거동을 파악하려 하였으며, 정박 또는 예인에 사용하는 수중케이블의 경우 조류의 방향 및 케이블의 경사각에 따른 동적거동의 변화를 알아볼 수 있다.

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Free vibration of tapered arches made of axially functionally graded materials

  • Rajasekaran, S.
    • Structural Engineering and Mechanics
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    • 제45권4호
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    • pp.569-594
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    • 2013
  • The free vibration of axially functionally graded tapered arches including shear deformation and rotatory inertia are studied through solving the governing differential equation of motion. Numerical results are presented for circular, parabolic, catenary, elliptic and sinusoidal arches with hinged-hinged, hinged-clamped and clamped-clamped end restraints. In this study Differential Quadrature element of lowest order (DQEL) or Lagrangian Interpolation technique is applied to solve the problems. Three general taper types for rectangular section are considered. The lowest four natural frequencies are calculated and compared with the published results.

모형 현수선을 이용한 현수교 PPWS 형상관리를 위한 새그민감도의 실험적 검증 (Experimental Verification of Sag Sensitivities using Catenary Model for PPWS Configuration Control in a Suspension Bridge)

  • 정운;서주원;이성형
    • 대한토목학회논문집
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    • 제34권3호
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    • pp.711-721
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    • 2014
  • 현수교 주케이블은 다수의 PPWS로 구성되며 설계조건과의 차이를 고려하여 이들의 시공위치에 정확히 가설하는 작업이 필요하다. 이를 위하여 다수의 PPWS 중 수개의 PPWS는 절대 새그측량을 수행하며 이를 기준으로 나머지 PPWS를 몇 개의 그룹으로 나누어 상대 새그를 측량하여 목표로 하는 시공위치에 가설하기 위한 PPWS 길이 조정작업을 수행한다. 현장여건을 반영한 시공은 새그변화요인에 대하여 새그민감도를 산정하고 이에 해당하는 PPWS 길이 조정량을 계산하여 새그를 조정하는 순서로 진행된다. 본 연구에서는 PPWS 양단 지지점의 변위에 따른 새그민감도의 미분관계식을 도출하였다. 그리고, 일련의 연구수행으로 제안된 새그민감도 산정식의 현장 실증에 선행하여 모형 현수선 시스템을 구축하고 이에 대한 검증실험을 수행하였으며 실험결과로부터 도출된 새그민감도 산정식의 타당성을 확인하였다.

교류 전기철도 급전계통 4도체군 전차선로 분석 및 FDTD 방법을 이용한 선로 주변 유도전압 계산에 관한 연구 (The Analysis of 4-Conductors Catenary System of AC Railway Feeding System and Calculation of Induced Voltage near Rail Track using the FDTD Method)

  • 류규상;염형선;조규정;이훈도;김철환
    • 전기학회논문지
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    • 제65권12호
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    • pp.1958-1964
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    • 2016
  • AC railway feeding system use single phase to supply power to the railway vehicles. And the system use the rail track as a return current path, so that current flows in the rail. In this situation inductive interference on communication system and unsafe environment can appear on railway system. Therefore knowing the current distribution of catenary system and analysing the return current is required. In this study detail return current distribution was analyzed by modeling the catenary system as 4-conductors group. The distribution characteristics and trends of return current were studied by using the PSCAD/EMTDC and FDTD method that based on Maxwell equation was used to calculate the induced voltage. Simulation code was made by MATLAB. Using this study result data, we can suggest the proper installation location of digital device and these data can be used for additional studies related to return current or induced voltage as a base data.