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Pantograph/Catenary Contact Formulations
Journal of Vibration and Acoustics, 2016In this investigation, the pantograph/catenary contact is examined using two different formulations. The first is an elastic contact formulation that allows for the catenary/panhead separation and for the analysis of the effect of the aerodynamic forces, while the second approach is based on a constraint formulation that does not allow for such a ...
Kulkarni, Shubhankar +2 more
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International Journal of Mechanical Sciences, 1982
Abstract A heavy, elastic cable is supported at both ends. The problem is governed by the distance between the supports and the parameter K which represents the relative importance of density and length to flexural rigidity. The heavy elastica equations are solved both numerically and by analytic approximations.
Wang, C. Y., Watson, L. T.
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Abstract A heavy, elastic cable is supported at both ends. The problem is governed by the distance between the supports and the parameter K which represents the relative importance of density and length to flexural rigidity. The heavy elastica equations are solved both numerically and by analytic approximations.
Wang, C. Y., Watson, L. T.
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Transmission line catenary calculations
Electrical Engineering, 1935A simple and accurate method is described for compiling stringing charts for overhead transmission lines, for either horizontal or inclined spans. All calculations can be carried out with a 20 inch slide rule, and no tables of functions are required other than those included in this paper. The procedure is the same for horizontal and for oblique spans.
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Journal of Fluid Mechanics, 2003
A filament of an incompressible highly viscous fluid that is supported at its ends sags under the influence of gravity. Its instantaneous shape resembles that of a catenary, but evolves with time. At short times, the shape is dominated by bending deformations.
Teichman, J., Mahadevan, L.
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A filament of an incompressible highly viscous fluid that is supported at its ends sags under the influence of gravity. Its instantaneous shape resembles that of a catenary, but evolves with time. At short times, the shape is dominated by bending deformations.
Teichman, J., Mahadevan, L.
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The College Mathematics Journal, 1999
(1999). Reexamining the Catenary. The College Mathematics Journal: Vol. 30, No. 5, pp. 391-393.
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(1999). Reexamining the Catenary. The College Mathematics Journal: Vol. 30, No. 5, pp. 391-393.
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2004
In this chapter we derive and solve the differential equation for the catenary curve. Given the end points and the length of the chain as boundary conditions we show how to compute a specific curve by solving the resulting nonlinear system in an elegant machine independent and foolproof way.
Walter Gander, Urs Oswald
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In this chapter we derive and solve the differential equation for the catenary curve. Given the end points and the length of the chain as boundary conditions we show how to compute a specific curve by solving the resulting nonlinear system in an elegant machine independent and foolproof way.
Walter Gander, Urs Oswald
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Inclined Catenary Calculations
Transactions of the American Institute of Electrical Engineers, 1931This paper gives a simple method of determining the general U and S curves for a catenary system. They are both obtained from the same equation and give the general shape the contact wire must take in order to lie in a horizontal plane. The specific shape the contact wire will take on any curve is found by adding together multiples of the U and S ...
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