An alternative curve in the use of high speed transportation systems

Tarı, Ergin; Baykal, Orhan

doi:10.1007/s007770050044

Cited by 11 publications

(9 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Such an alignment provides for continuity of the position function and its first derivative (local azimuth), just as a tangent and curve do at a Point of Curvature (PC). However, unlike the simple curve, it also maintains continuity of the second derivative (local curvature), which becomes increasingly important at higher speeds spiral [1,6,7,8,9,10,11,12,13,17].…”

Section: Clothoidmentioning

confidence: 99%

“…There is a very high interdependency, because the parameter speed influences the resulting accelerations to its second power, and the resulting jerks even to its third power, see Fig. 2 [4,6,9,11,15,16]. Figure 3 The super elevation diagram of sinusoid [6,15,16] This combination of functional dependency with the great range of speed as well as with the great accelerating power of the Maglev system has various results: not only are precise mathematical simulations necessary for a most exact evaluation of vehicle dynamics, but also there should be a correspondingly well approximated database of the (future) operational speed profiles.…”

Section: Sinusoidal Curvesmentioning

confidence: 99%

“…2. However, sinusoidal curves are not widely used because they are steeper than a true spiral and are therefore difficult to tabulate and stake out [1,6,7,8,9,10,15,16,17].…”

Section: Sinusoidal Curvesmentioning

confidence: 99%

“…They can also be expressed as integrals of Bessel functions of order 1/2, and this can be worked into expressions for X and Y as infinite series of Bessel functions. The coordinates of clothoid are obtained by using Fresnel integrals [1,3,4,5,7,8,9,10,11,15,17] τ τ…”

Section: Clothoidmentioning

confidence: 99%

“…The basic component values of sinusoid are calculated with the following equations [1,6,7,8,9,10,15,16,17]: Spiral angle of the final point (UE) of sinusoid…”

Section: Sinusoidal Curvesmentioning

confidence: 99%

See 4 more Smart Citations

Transrapid and the transition curve as sinusoid

2016

View full text Add to dashboard Cite

Professional paperThe transition curves in the modern highway and railway construction are route elements equally crucial as alignment and curve (circular). In order to prevent a sudden change of the centrifugal force, the transition curve must be applied due to the impact of the motion in a sharp curve. Over the years the application of the clothoid has become widespread in many countries in the world. However, in this study, in order to eliminate the problems concerning the road dynamics, created by clothoid for vehicles at high speed, sinusoid is examined. The possibility of using sinusoid in defining transition curves during design of transportation facilities is analysed in this paper. Basic properties of sinusoid, their fundamental mathematical expression, calculation of point coordinates, driving-dynamic characteristics of sinusoid are described (especially for Transrapid using), and the function of change in curvature and lateral impact along the sinusoid is presented. Sinusoid is dealt with as ideal curvature diagram which has curve and superelevation ramp in the articles. Keywords: clothoid; sinusoid; transition curves; transrapid Transrapid i krivulja prijelaza kao sinusoidaStručni članak Krivulje prijelaza pri konstrukciji moderne glavne ceste i željeznice su elementi jednako važni kao i smjer trase i zakrivljenost (kružnost). Kako bi se spriječila nagla promjena centrifugalne sile, mora se primijeniti krivulja prijelaza zbog djelovanja gibanja u oštrom zavoju. Tijekom godina raširila se primjena klotoida u mnogim zemljama svijeta. Međutim, u ovoj analizi, u svrhu eliminiranja problema povezanih s dinamikom puta koje je stvarao klotoid kod vozila pri visokim brzinama, istražuje se sinusoid. U radu se analizira mogućnost primjene sinusoida kod definiranja krivulja prijelaza tijekom projektiranja prijevoznih sredstava. Opisuju se osnovna svojstva sinusoida, njihov fundamentalni matematički izraz, izračun koordinata, pogonsko-dinamičke karakteristike sinusoida (naročito za uporabu Transrapida) i prezentira se funkcija promjene zakrivljenosti puta i bočni udar duž sinusoida. Sinusoid se predstavlja kao dijagram s idealnom zakrivljenošću koji ima rampu krivulje i superelevacije.

show abstract

Section: Clothoidmentioning

confidence: 99%

Section: Sinusoidal Curvesmentioning

confidence: 99%

“…2. However, sinusoidal curves are not widely used because they are steeper than a true spiral and are therefore difficult to tabulate and stake out [1,6,7,8,9,10,15,16,17].…”

Section: Sinusoidal Curvesmentioning

confidence: 99%

Section: Clothoidmentioning

confidence: 99%

“…The basic component values of sinusoid are calculated with the following equations [1,6,7,8,9,10,15,16,17]: Spiral angle of the final point (UE) of sinusoid…”

Section: Sinusoidal Curvesmentioning

confidence: 99%

See 3 more Smart Citations