Influence of Spatial Geometric Properties of Highway Alignments on Vehicle Kinematics

doi:10.11908/j.issn.0253-374x.2016.12.009

Home > Archive>Volume 44, Issue 12, 2016 >1867-1872. DOI:10.11908/j.issn.0253-374x.2016.12.009

Influence of Spatial Geometric Properties of Highway Alignments on Vehicle Kinematics
DOI:
                        10.11908/j.issn.0253-374x.2016.12.009
                    
CSTR:
                        [cstr]
                    
Author:
                        GE TingGE Ting
School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China; School of Civil Engineering, Suzhou University of Science and Technology, Suzhou 215011, China
Find this author on All Journals
Find this author on BaiDu
Search for this author on this site
FU XinshaFU Xinsha
School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China
Find this author on All Journals
Find this author on BaiDu
Search for this author on this site
LI HaifengLI Haifeng
School of Geosciences and InfoPhysics, Central South University, Changsha 410007, China
Find this author on All Journals
Find this author on BaiDu
Search for this author on this site
LONG LidunLONG Lidun
School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China
Find this author on All Journals
Find this author on BaiDu
Search for this author on this site

                    
Affiliation:
Clc Number:U412.3
Fund Project:

Article

Figures

Metrics

Reference [15]

Related [20]

Cited by [0]

Materials

Comments

Abstract:

Firstly, curvature and torsion instead of traditional twodimensional (2D) horizontal and vertical indexes were used to describe the spatial geometric properties of highway alignment according to the curve theory of differential geometry. Then the vehicle was treated as a rigid body and a new motion model was established with the curvature and torsion as the control variables base on the Frenet Frame. Finally, an example was analyzed to demonstrate the influence of spatial geometric properties of an existing highway on vehicle kinematics. It is found that the setting of curvature plays a leading role in the spatial motion, while the torsion affects the motion less. The coupling effects of horizontal and vertical alignments were ignored during traditional design process, which led to the continuity degradation of curvature and torsion, and directly affected the smooth variation of vehicle motion and driving comfort.

Key words:highway; spatial geometric properties; curvature; torsion; Frenet Frame; kinematics

Reference

[1]符锌砂,龙立敦,李海峰等.基于体感交互设计的公路真三维设计与系统架构[J].华南理工大学学报(自然科学版),2014,42(8):61-68.FU Xinsha, LONG Lidun, LI Haifeng, et al. Motion-based True Three-dimensional Highway Alignment Design Method and System Framework[J]. Journal of South China Unicersity of Technology,2014,42(8):61-68.

[2]JHA M K, KARRI G A K, KUHN W. Selection of 3D Elements for Different Speeds in the 3D Modeling of Highways [J]. The 4_th International Symposium on Highway Geometric Design,2010:1-17.

[3]KUHN W. The Basics of a Three-Dimensional Geometric Design Methodology [J]. 3_rd International Symposium on Highway Geometric Design, 2005,9: 1-16.

[4]HASSAN Y. Three-Dimensional Approach for Roadway Alignment Design Incorporating Driver Perception [J]. Advances in Transportation Studies, 2004.

[5]KUHN W, LEITHOFF I, KUBIK R. Three-Dimensional Methodology for Design of Safe Rural Highways [J]. Transp. Res. Rec., 2282, 2012:81-90.

[6]符锌砂.公路实时三维可视化系统构架[J].中国公路学报, 2007,20(6): 31-35.FU Xin-sha. Framework of Real-Time 3-D Visualization System of Highway[J]. China Journal of Highway and Transport, 2007,20(6):31-35.

[7]LIPSCHUTZ M. Schaum's Outlines of Differential Geometry[M].McGraw-Hill,1969.

[8]OPREA J. Differential Geometry and Its Applications[M]. Cambridge University Press, 2007.

[9]FAROUKI R T. Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable [M]. Springer, 2008.

[10]HILDEBRAND E D, LEWIS J. Driver Tolerance of Lateral Accelerations on Horizontal Curves[J]. Can. J. Civ. Eng., 2010, 37: 1-7.

[11]徐进,杨奎,罗庆等.公路客车横向加速度实验研究[J].西南交通大学学报,2014,49(3):536-545.XU Jin, YANG Kui, LUO Qing, et al. Field Measurement of Automobiles’ Lateral Accelerations[J]. Journal of Southwest Jiaotong University,2014,49(3):536-545.

[12]杨少伟,许金良,杨宏志.考虑平、纵、横三方面关系的横向加速度变化率[J].中国公路学报,1999,12(4):12-16.YANG Shao-wei, XU Jin-liang, YANG Hong-zhi. Lateral Change of Acceleration According to the Relationship of the Horizontal, Vertical and Lateral Geometry of Highway [J]. China Journal of Highway and Transport, 1999,12(4):12-16.

[13]李运胜.高速环道几何线形的运动学评价[J].中国公路学报,2002,15(3):23-32.LI Yun-sheng. Kinematics Appraisal on the Geometric Route of High-Speed Loop [J]. China Journal of Highway and Transport, 2002, 15(3):23-32.

[14]SCHOT S H. Jerks: The Time Rate of Change of Acceleration[J]. Am. J. Phys., 1978,46:1090-1094.

[15]刘筠,王剑华.加速度变化率对汽车制动器磨损特性的影响[J].长安大学学报(自然科学版),2007,27(6):95-98.LIU Jun, WANG Jian-hua. Effect of Changing Rate of Accelerations on Horizontal Curves [J]. Journal of Chang’an University(Natural Science Edition),2007,27(6):95-98.

Get Citation

GE Ting, FU Xinsha, LI Haifeng, LONG Lidun. Influence of Spatial Geometric Properties of Highway Alignments on Vehicle Kinematics[J].同济大学学报(自然科学版),2016,44(12):1867~1872

Copy

Article Metrics

Abstract:
PDF:
HTML:
Cited by:

History

Received:June 11,2015
Revised:October 31,2016
Adopted:October 09,2016
Online: January 10,2017
Published:

Get Citation

Share

Article Metrics

History

Article QR Code