New Solutions for General Transition Curves

Kobryń, Andrzej

doi:10.1061/(asce)su.1943-5428.0000113

Cited by 34 publications

(21 citation statements)

References 7 publications

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“…The negative impact on the driver's choice of path radius might have had the absence of spirals or the application of very short spiral transitions, because the driver failed to adjust both, speed and path radius. So, it would be interesting to analyze the driver's behavior on sections with transition curves of sufficient length, traditional spiral transitions or even some new solutions, for example, general transition curves introduced by Kobryń (2014).…”

Section: Analysis Of Vehicle Path Radiimentioning

confidence: 99%

Evaluation of design consistency on horizontal curves for two-lane state roads in terms of vehicle path radius and speed

Maljković

Cvitanić

2016

The Baltic Journal of Road and Bridge Engineering

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Experimental investigation was conducted on a 24 km long segment of the two-lane state road to collect the driver behavior data. The research involved 20 drivers driving their own cars equipped with the GPS device. Considering the impact of path radius and speed on the side friction demand, the design consistency on horizontal curves was evaluated by determining the margins of safety. The analysis showed that the vehicle path radii were mainly smaller than curve radius, on average for 12%. Regression analysis indicated that the percentage difference between the curve radius and vehicle path radius is not affected by the speed, speed differential and geometric characteristics of the curve and surrounding elements. Two different margins of safety were analyzed. One is the difference between maximum permissible side friction (based on design speed) and side friction demand, while another is the difference between side friction supply (based on operating speed) and side friction demand. Generally, demands exceeded supply side friction factors on curves with radii smaller than 150 m, whereas “poor” conditions (in terms of Lamm’s consistency levels) were noted for curves under approximately 220 m. Both values are very close to the critical radius below which higher accident rates were observed according to several accident studies. Based on the results of the research, it is proposed to use a 12% smaller curve radius for the evaluation of margin of safety and that curves with radii smaller than 200 m should be avoided on two-lane state roads outside the built-up area.

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Section: Analysis Of Vehicle Path Radiimentioning

confidence: 99%

Evaluation of design consistency on horizontal curves for two-lane state roads in terms of vehicle path radius and speed

Maljković

Cvitanić

2016

The Baltic Journal of Road and Bridge Engineering

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“…The development of a method for precise determination of route coordinates seems to be the most appropriate course of action (Ahmad, Ali 2008;Bosurgi, D' Andrea 2012;Bosurgi et al 2016;Kobryń 2011Kobryń , 2014Koc 2014;Ziatdinov et al 2012aZiatdinov et al , 2012b. This paper provides the examples of such an approach, which radically diverges from the traditional approach.…”

Section: Introductionmentioning

confidence: 99%

Modelling of joining route segments of different curvature

Koc

Palikowska

2016

The Baltic Journal of Road and Bridge Engineering

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The paper presents a new general method of modelling route segments curvature using differential equations. The method enables joining of route segments of different curvature. Transitional curves of linear and nonlinear curvatures have been identified in the case of joining two circular arcs by S-shaped and C-oval transitions. The obtained S-shaped curves have been compared to the cubic C-Bezier curves and to the Pythagorean hodograph quantic Bezier curve using the Lateral Change of Acceleration diagram and the dynamic model. The analysis of dynamic properties has showed an advantage of the obtained transition curve of nonlinear curvature over Bezier curves.

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“…The developed calculation algorithms were then implemented in commercial Computer Aided Design software. However, searching for new solutions were continued and the issue of transition curves were an essential part of it (Arslan et al, 2014;Kobryń, 2014;Tari and Baykal, 2005;Tasci and Kuloglu, 2011;Zboiński and Woźnica, 2010). Characteristic feature of the used designing methodology is taking into account each element of the layout separately i.e.…”

Section: Introductionmentioning

confidence: 99%

Design of compound curves adapted to the satellite measurements

Koc

2015

AoT

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The paper deals with a novelty related to the design of a region for an alternative railway track direction adequate for mobile satellite measurements. The new approach may become particularly useful in the design of the existing track axis control when the determination of both the main track directions becomes impossible. The only solution in that case is to apply to the geometrical system two circular arcs of a different radius, namely, to take advantage of compound curves. In the presented method the design of a new system is carried out by the use of the local system of coordinates. The solution of the design problem is aided by mathematical recording and is based on the determination of some universal equations describing the entire geometrical system. This procedure takes place sequentially involving consecutive parts of the system. The method has been illustrated by an appropriate calculation example.

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New Solutions for General Transition Curves

Cited by 34 publications

References 7 publications

Evaluation of design consistency on horizontal curves for two-lane state roads in terms of vehicle path radius and speed

Evaluation of design consistency on horizontal curves for two-lane state roads in terms of vehicle path radius and speed

Modelling of joining route segments of different curvature

Design of compound curves adapted to the satellite measurements

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