• Proceedings of the KIEE Conference
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• 2004.11c
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• pp.748-750
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• 2004

The pantograph should supply the electrification equipments of a train with the current from the overhead catenary system over a broad range of speeds. For a high-speed electrical train, the dynamic interaction between the pantograph and the overhead catenary system causes the variation of the contact force. As the operational speed increases, the variation of the contact force increases. The contact force variation can cause contact losses, arcing and sparking. If the spark happens between the pantograph and the overhead catenary system, the EMI(electro magnetic interface) and noises may occur. After all, the quality of current collection is deteriorated. This paper deals with the dynamic characteristics analysis between pantograph and catenary system using block pulse function.

• Journal of Mechanical Science and Technology
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• v.17 no.6
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• pp.860-869
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• 2003

Dynamic characteristics of a catenary that supplies electrical power to high-speed railway is investigated. The catenary is a slender structure composed of repeating spans. Each span is in turn composed of the contact and messenger wires connected by the hangers in regular intervals. A finite element based dynamic model is developed, and numerical simulations are performed to determine the dynamic characteristics of the catenary The influence of the structural parameters on the response characteristics is investigated. The structural parameters considered include tension on the contact and messenger wires, stiffness of the hangers, and the hanger and span spacing. The hanger characteristics are found to be the dominant factors that influence the overall dynamic characteristics of the catenary.

• Journal of KSNVE
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• v.11 no.2
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• pp.346-353
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• 2001

In this study dynamic characteristic of catenary system that supplies electrical power to KTX Korean high-speed trains are investigated. A simulation program based on 3-span and 6-span finite element models of the catenary is developed. The influences of the various design parameters on the dynamic responses of the catenary are determined. The main design parameters include tension on the contact and messenger wires and the stiffness of the droppers connecting the two wires. The vibrational responses are primarily determined by the reflections of the propagating wave, and the dropper stiffness is found to be the dominant factor that influences overall dynamic characteristics of the catenary.

• Proceedings of the KSR Conference
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• 2000.11a
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• pp.636-651
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• 2000

In these days, SNCF replace the connector wire (M-T type) with a dropper has a equivalent role and function of the one in general lines of TGV, and change the connector wire (T-T-M-M-T-T, T-T-M-M-T type, etc) into a New one has more flexible cable in parallel lines (air section air joint, etc) of TGV. The Connector wire has many problems according to a flow of excessive circulation current (or traction current) and a sudden rise of temperature on catenary when electric locomotive is running in high speed. To solve the question at issue of the connector wire in high speed railway catenary system of Fiance, SNCF return their operating experience in TGV lines to design and execution of catenary system Therefore, we have to deal with the question in design and execution of catenary system for kyoungbu HSR line because we will spend a lot of time and more money for maintenance than for construction of that.

• Transactions of the Korean Society of Mechanical Engineers
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• v.16 no.8
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• pp.1438-1445
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• 1992

A new and efficient method is presented to evaluate contact force and motion of an electric railway simple catenary-pantograph system. Overhead lines are regarded as simple strings, and hangers connected to the strings are replaced with concentrated forces acting on them. The displacement of strings due to concentrated forces caused by hangers and pantograph is expressed using Green's function. A system of linear algebraic equations in terms of unknown forces is derived based upon the compatibility requirement at the location of hangers and pantograph. This procedure is more analytic in formulation compared to the existing methods such as finite difference method or normal modes method, and it is expected to be more accurate. Present method has additional advantage that it requires neither numerical differentiation nor system eigenvalues.

• Structural Engineering and Mechanics
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• v.3 no.5
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• pp.511-525
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• 1995

The differential equations governing in-plane free vibrations of the elastic, catenary arch with rotatory inertia are derived in Cartesian coordinates. Frequencies and mode shapes are computed numerically for such arches with unsymmetric axes, for both clamped-clamped and hinged-hinged end constraints. The lowest four natural frequency parameters are reported, with and without rotatory inertia, as a function of three nondimensional system parameters; the span to cord length ratio e, the slenderness ratio s, and the rise to cord length ratio f. Experimental measures of frequencies and mode shapes for several laboratory-scale catenary models serve to validate the theoretical results.

• Journal of Ocean Engineering and Technology
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• v.18 no.6 s.61
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• pp.51-57
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• 2004

In this study, the improved three-dimensional analysis model designed for a more accurate analysis of marine cable-supported structures, is presented. In this improved analysis model, the beam elements, of which the stability function is derived using Taylor's series expansions, are used to model space frame structures, and the truss elements. The equivalent elastic modulus of the truss elements is evaluated on the assumption that the deflection curve of a cable has a catenary function. By using the proposed three-dimensional analysis model, nonlinear static analysis is carried out for some cable-supported structures. The results are compared with previous studies and show good agreement with their findings.

• Kyungpook Mathematical Journal
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• v.57 no.4
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• pp.667-676
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• 2017

We study the positive $C^1$ function z = f(x, y) defined on the plane ${\mathbb{R}}^2$. For a rectangular domain $[a,b]{\times}[c,d]{\subset}{\mathbb{R}}^2$, we consider the volume V and the surface area S of the graph of z = f(x, y) over the domain. We also denote by (${\bar{x}}_V,\;{\bar{y}}_V,\;{\bar{z}}_V$) and (${\bar{x}}_S,\;{\bar{y}}_S,\;{\bar{z}}_S$) the geometric centroid of the volume under the graph of z = f(x, y) and the centroid of the graph itself defined on the rectangular domain, respectively. In this paper, first we show that among nonconstant $C^2$ functions with isolated singularities, S = kV, $k{\in}{\mathbb{R}}$ characterizes the family of catenary rotation surfaces f(x, y) = k cosh(r/k), $r={\mid}(x,y){\mid}$. Next, we show that one of $({\bar{x}}_S,\;{\bar{y}}_S)=({\bar{x}}_V,\;{\bar{y}}_V)$, $({\bar{x}}_S,\;{\bar{z}}_S)=({\bar{x}}_V,\;2{\bar{z}}_V)$ and $({\bar{y}}_S,\;{\bar{z}}_S)=({\bar{y}}_V,\;2{\bar{z}}_V)$ characterizes the family of catenary rotation surfaces among nonconstant $C^2$ functions with isolated singularities.

• Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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• 2004.05a
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• pp.241-248
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• 2004

In general, the salient features if the floating breakwater have excellent regulation of sea-water keeping the marine a1ways clean, up and dorm free movement with the incoming and outgoing tides, capable of being installed without considering the geological condition of sea-bed at any water depth, This study discusses the three dimensional wave transformation of the floating breakwater moored by catenary. Numerical method is based at the Green function method and eigenfunction expansion method. The validity of the present is confirmed by comparing it with the result of Ijima et a1.(1975) fer tensile maxed floating breakwater. According to the numerical results, drift and width of the floating breakwater affect at the wave transformation greatly, and incident wave of long period is well transmitted to the rear of the floating breakwater.

• Proceedings of the KSR Conference
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• 2005.05a
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• pp.356-361
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• 2005

The Korean High Speed Train(KHST) had been developed and evaluating on the Kyoung-Bu High Speed Line by through 'G7-R&D project'. In order to evaluate the function and characteristics of high speed train system, various experimental conditions have been considered and conducted. In this paper, current collection characteristics of KHST between pantograph and catenary system and dynamic behaviors are measured and analysed over 300 to 350km/h in running speed of KHST. A measuring system which was developed and installed on the Korean High Speed Train for the performance and mechanical characteristics of the KHST pantograph is used for this trial running test and we proofed that KHST has a remarkable and stable current collection characteristics as it had been designed.