Nereis. Interdisciplinary Ibero-American Journal of Methods, Modelling and Simulation.

Buscador

Calculation of the deflection in the lemniscate of Bernoulli. Application to railway transfer curves

Abstract

Analytical expressions are deduced to calculate the deflection between a chord and a lemniscate curve. In railways, the interest of these expressions is that lemniscates are used as transfer curves between a straight and a circular section. Moreover, according to the regulations, the deflection that separates a wagon from the track must not exceed a certain amount, so that the expressions deduced are very useful in routine checks of railway tracks.

References

Blanch L, Checa E, Marín J. Una aproximación a la curva de transición Clotoide vista desde Mathematica. Modelling in Science Education and Learning. 2013;6:105-19.

Spiegel MR. Handbook of Mathematical Formulas. New York, USA: Schaum-McGraw Hill, 1968.

Oldham KB, Myland J, Spanier J. An atlas of functions: with equator, the atlas function calculator. Springer Science & Business Media, 2010.

Downloads

Download data is not yet available.