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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 361-363Slope Effect in Traffic Flow with a Speed...

Slope Effect in Traffic Flow with a Speed Difference

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Abstract:

On a gradient road gravity as an external force acts upon running vehicles which show different characteristics from those on normal road. We investigated traffic flow on a gradient with a consideration of speed difference effect analytically and numerically. Stability and instability conditions were obtained by the use of linear stability theory. Nonlinear analysis method was taken to derive the mKdV equation and its kink-antikink soliton solution was obtained near the critical point in the unstable region. Kink-antikink density waves were reproduced in the simulation with a variable slope. Results show that the slope effect plays an important role in traffic flow.

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Periodical:

Applied Mechanics and Materials (Volumes 361-363)

Pages:

2297-2303

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.361-363.2297

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Online since:

August 2013

Authors:

Rui Ling Yu*, Cheng Hui Zhang

Keywords:

Kink Density Wave, Non-Linear Analysis, Slope Effect

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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