• Title/Summary/Keyword: Catenary

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Nonlinear formulation and free vibration of a large-sag extensible catenary riser

  • Punjarat, Ong-art;Chucheepsakul, Somchai
    • Ocean Systems Engineering
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    • v.11 no.1
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    • pp.59-81
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    • 2021
  • The nonlinear formulation using the principle of virtual work-energy for free vibration of a large-sag extensible catenary riser in two dimensions is presented in this paper. A support at one end is hinged and the other is a free-sliding roller in the horizontal direction. The catenary riser has a large-sag configuration in the static equilibrium state and is assumed to displace with large amplitude to the motion state. The total virtual work of the catenary riser system involves the virtual strain energy due to bending, the virtual strain energy due to axial deformation, the virtual work done by the effective weight, and the inertia forces. The nonlinear equations of motion for two-dimensional free vibration in the Cartesian coordinate system is developed based on the difference between the Euler's equations in the static state and the displaced state. The linear and nonlinear stiffness matrices of the catenary riser are obtained and the eigenvalue problem is solved using the Galerkin finite element procedure. The natural frequencies and mode shapes are obtained. The results are validated with regard to the reference research addressing the accuracy and efficiency of the proposed nonlinear formulation. The numerical results for free vibration and the effect of the nonlinear behavior for catenary riser are presented.

The measurement and evaluation of catenary system by using electric rolling stock on Honam-Line electrified (전철화된 호남선에서의 전기차량에 의한 전차선로 측정 및 평가)

  • Ahn Young-Hoon;Hyun Chung-il
    • Proceedings of the KSR Conference
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    • 2004.06a
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    • pp.1286-1291
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    • 2004
  • This paper was showed evaluation method and technical items for measurement test of new catenary system of Honam(Daejeon - Mokpo) conventional railway electrified. This line have tested by three type new electric rolling stocks in order to test construction quality and operation safety of a new catenary system with speed-up than conventional speed. We have some important experiences through measurement test of catenary system by new device installed on train roof.

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Study on the Current Collection Characteristics and Improvement Methods of Simple Catenary Systems (도시철도 simple catenary 가선구조에서의 집전성능 향상방안에 관한 연구)

  • Park Yong Cheol;Chang Sang-Hoon;Song Joong Ho
    • Proceedings of the KSR Conference
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    • 2004.10a
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    • pp.1360-1365
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    • 2004
  • The decisive criteria to determine collection performance is the contact force between pantograph and catenary. The contact force consists of a static force and dynamic force related to vibration characteristics, train speed and etc. The low contact force leads to the loss of contact, and most countries regulate it below $3\∼5\%$ at operation speed. This study presents a technical overview of criteria for collection performance and modelling and simulation methods to analyze dynamic characteristics of catenary.

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Development of a Dynamic Simulation Program for Pantograph-Catenary System based on a Mode Superposition Method (모드중첩법을 기초로 한 집전성능해석 프로그램 개발)

  • 조용현;이기원;현승호;정흥채
    • Proceedings of the KSR Conference
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    • 2000.05a
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    • pp.606-617
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    • 2000
  • A dynamic simulation program for pantograph-catenary system is developed based on a mode superposition method to predict current collection performance. Formulations for the dynamic simulation are presented in this paper. The number of modes which should be considered for a KTX catenary system is reviewed through frequency response analyses. The responses for GPU pantograph - KTX catenary system are simulated with various train speeds. The our simulation results are in reasonably good agreements with RTRI simulation program, SNCF simulation program, and BR simulation program.

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Measuring results of the current distribution ratio between the contact wire and messenger wire in Chungbuk Line catenary (충북선에서 전차선대 조가선의 전류 분포비에 대한 측정 결과)

  • Kwon Sam-Young;Park Young;Jung Ho-Sung;Park Hyun-Jun
    • Proceedings of the KSR Conference
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    • 2005.11a
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    • pp.55-58
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    • 2005
  • In this paper, the measuring of the current distribution ratio between catenary and messenger wire on the condition of directly applying voltage to catenary at the Chungbuk line catenary in a process of de-icing system performance test is described. measuring" method and measured data are explained. Result values are also reviewed.

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A study on neutral section device adopted in the catenary system with maximum speed of 200km/h (최대 200km/h로 속도 향상된 Catenary system에 적용한 절연구분장치)

  • Ahn Young-Hoon;Gang Chang-Ho
    • Proceedings of the KSR Conference
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    • 2003.10c
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    • pp.541-546
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    • 2003
  • The study is about a neutral section device adopted in the catenary system in connection with KNR's project to electrify the conventional Honam-Line. A neutral section device(PTFE type) adopting into catenary system accepts a train velocity of 200km/h, installed firstly in Korea electric. railway system. This study shows technologies and construction cases of the neutral section device.

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CATENARY MODULES II

  • NAMAZI, S.;SHARIF, H.
    • Honam Mathematical Journal
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    • v.22 no.1
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    • pp.9-16
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    • 2000
  • An A-module M is catenary if for each pair of prime submodules K and L of M with $K{\subset}L$ all saturated chains of prime submodules of M from K to L have a common finite length. We show that when A is a Noetherian domain, then every finitely generated A-module is catenary if and only if A is a Dedekind domain or a field. Moreover, a torsion-free divisible A-module M is catenary if and only if the vector space M over Q(A) (the field of fractions of A) is finite dimensional.

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THE CATENARY DEGREE OF THE SATURATED NUMERICAL SEMIGROUPS WITH PRIME MULTIPLICITY

  • Meral Suer
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.2
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    • pp.515-528
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    • 2023
  • In this paper, we formulate the set of all saturated numerical semigroups with prime multiplicity. We characterize the catenary degrees of elements of the semigroups we obtained which are important invariants in factorization theory. We also give the proper characterizations of the semigroups under consideration.

Reliability Analysis of Catenary of Electric Railway by using FTA (FTA를 이용한 전기철도 전차선의 신뢰도 분석)

  • Ku, Bon-Hui;Cha, Jun-Min;Kim, Hyung-Chul
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.11
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    • pp.1905-1909
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    • 2008
  • As catenary supply electric power directly to the railway system, it is very important to prevent an accident of a catenary for appropriate train operations. This paper analyzed the outage data for British catenary safety analysis report and Korean data to compare the reliability of the railway systems. The analyzed data were applied to Fault Tree Analysis(FTA) algorithm to calculate the reliability indices of a railway system. Failure rate of an electric railway system through FTA were calculated for each element and the entire railway system. The reliability indices can be used to determine the eqipment to be replaced for the entire system reliability improvement.

Effects of Corrosion Environment on Mechanical Properties of Catenary Wires (가선재의 기계적특성에 미치는 부식환경의 영향)

  • 김용기;장세기;조성일
    • Journal of the Korean Society for Railway
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    • v.5 no.1
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    • pp.32-39
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    • 2002
  • As most railways are gradually electrified with modernized electric cars, the demand for catenary wires and their facilities are also increased. Catenary Wires are exposed to the marine area with air-borne salt or severely polluted industrial area with much corrosive emission gases depending on the locations. Corrosion of catenaty wires can make their actual lifetime shorter than that originally designed. Thus, the messenger and ACSR wires, kinds of catenary wire system, were investigated with respect to corrosion, which include new and used ones collected at the field. Tensile strengths and elongations appeared to decrease when the wires were exposed to corrosive environments. The amount of decrease was more prominent as environmental conditions became more corrosive. They are also vibrated with some amplitude everytime pentographs touch contact line. The frequent cyclic load on the wire may result in a fatigue damage. Surface damage by corrosion can make fatigue crack initiate with ease. In the present study, the fatigue life of the used wire was measured 50 to 60% compared with that of new one in average.