2005
DOI: 10.1016/j.jsv.2004.01.039
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Stepwise approximation of an optimally flared tunnel portal

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Cited by 5 publications
(3 citation statements)
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“…The values ᐉ′/ᐉ of the nondimensional end correction given in the final column of Table I were computed from the numerical solutions. Laplace's equation has to be solved once only for each portal, and the procedure is equivalent to a preliminary calculation of a portal Green's function [24,28]. When ∂ϕ*/∂x is known equation (1) can be applied to any train entering the tunnel along any track whose centreline is offset a distance z t from the tunnel axis.…”
Section: The Velocity Potential ϕ*mentioning
confidence: 99%
“…The values ᐉ′/ᐉ of the nondimensional end correction given in the final column of Table I were computed from the numerical solutions. Laplace's equation has to be solved once only for each portal, and the procedure is equivalent to a preliminary calculation of a portal Green's function [24,28]. When ∂ϕ*/∂x is known equation (1) can be applied to any train entering the tunnel along any track whose centreline is offset a distance z t from the tunnel axis.…”
Section: The Velocity Potential ϕ*mentioning
confidence: 99%
“…By similarly neglecting small 'end corrections' at compared to the contribution to sound generation by the section of the vortex above the mouth in it is also permissible to use a two-dimensional approximation for . This is very convenient, because in two dimensions Laplace's equation can be solved very easily for different positions of the cross-beam using a conventional 'spread sheet' programme on a personal computer [11,12].…”
Section: The Acoustic Pressurementioning
confidence: 99%
“…Problems such as micro-pressure wave, wake flow, and piston wind induced by a passing train not only pose threats to safe and stable train operation but also reduce passenger comfort. In many countries, these problems are usually alleviated by optimizing the opening rate of tunnel hoods [2][3][4] and redesigning tunnel portals [5][6][7]. Studies have shown that some new tunnel portals can effectively reduce the pressure gradient.…”
Section: Introductionmentioning
confidence: 99%