Analytical study of the transition curves in the bi-linear Mathieu equation
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-020-05884-0
Abstract: The current work is primarily devoted to the asymptotic analysis of the instability zones existing in the bi-linear Mathieu equation. In this study, we invoke the common asymptotical techniques such as the method of averaging… read more here.
Keywords: linear mathieu; study; transition curves; mathieu equation ... See more keywords
Modelling of the refraction in trigonometric levelling using polynomial transition curves
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DOI: 10.1016/j.measurement.2021.109392
Abstract: Abstract This article presents a new, original approach to modeling vertical refraction in trigonometric levelling. So-called polynomial transition curves are used here. In this approach, it is assumed that the refraction curve coincides with the… read more here.
Keywords: refraction; trigonometric levelling; transition curves; approach ... See more keywords
Optimization of Polynomial Transition Curves from the Viewpoint of Jerk Value
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DOI: 10.1515/ace-2017-0012
Abstract: Abstract The aim of the presented paper is to show the results of shape optimization of railway polynomial transition curves (TCs) of 5th, 7th, and 9th degrees through the use of the full vehicle model… read more here.
Keywords: polynomial transition; vehicle; transition curves; optimization ... See more keywords