Methods for Calculating Intervals of Reconstructed Results in Traffic Accidents with Different Types of Interval Traces

上海交通大学学报（英文版） ›› 2017, Vol. 22 ›› Issue (5): 555-561.

Methods for Calculating Intervals of Reconstructed Results in Traffic Accidents with Different Types of Interval Traces

ZOU Tiefang^1,2* (邹铁方), LI Hua^1,2 (李华), LI Yuelin^1,2 (李岳林),CAI Ming³(蔡铭), XIAO Jing^1,2 (肖璟)

(1. School of Automobile and Mechanical Engineering, Changsha University of Science and Technology, Changsha 410004, China; 2. Hunan Province Key Laboratory of Safety Design and Reliability Technology for Engineering Vehicle, Changsha University of Science and Technology, Changsha 410004, China; 3. School of Engineering, Sun Yat-sen University, Guangzhou 510275, China)

出版日期:2017-09-30 发布日期:2017-09-30
通讯作者: ZOU Tiefang (邹铁方) E-mail:tiefang@163.com

Methods for Calculating Intervals of Reconstructed Results in Traffic Accidents with Different Types of Interval Traces

ZOU Tiefang^1,2* (邹铁方), LI Hua^1,2 (李华), LI Yuelin^1,2 (李岳林),CAI Ming³ (蔡铭), XIAO Jing^1,2 (肖璟)

(1. School of Automobile and Mechanical Engineering, Changsha University of Science and Technology, Changsha 410004, China; 2. Hunan Province Key Laboratory of Safety Design and Reliability Technology for Engineering Vehicle, Changsha University of Science and Technology, Changsha 410004, China; 3. School of Engineering, Sun Yat-sen University, Guangzhou 510275, China)

Online:2017-09-30 Published:2017-09-30
Contact: ZOU Tiefang (邹铁方) E-mail:tiefang@163.com

摘要/Abstract

摘要： In order to obtain more effective uncertainty analysis methods for analyzing uncertainty of a reconstructed result in a traffic accident with different types of interval traces, three new methods are proposed. The first method is named as sub-interval perturbed method, it is used for calculating the binary interval of the reconstructed result in an accident with binary interval traces, and it can overcome the interval extension problem well. The second method is based on interval arithmetic and the first method, it is used for calculating the ternary interval of the accident reconstruction result in an accident with ternary interval traces, and the most probable value of the reconstructed result is a number. The basic idea of the third method is the same as that of the second method, it is used for calculating the ternary interval of the accident reconstruction result in an accident with mixed interval traces, and the most probable value of the reconstructed result is an interval. All methods are demonstrated and validated by numerical cases. The results show that all methods are feasible and practical. Finally, a true vehicle-motorcycle accident is given, in which the braking distance of vehicle, and the throw distances of driver and motorcycle are all binary interval traces. The accident is reconstructed by the software PC-Crash, and the interval of impact velocity is analyzed. The interval of the velocity is [55.7, 64.3] km/h. This interval result is more objective than a single number.

关键词: accident reconstruction, interval theory, binary interval, ternary interval, vehicle velocity

Abstract: In order to obtain more effective uncertainty analysis methods for analyzing uncertainty of a reconstructed result in a traffic accident with different types of interval traces, three new methods are proposed. The first method is named as sub-interval perturbed method, it is used for calculating the binary interval of the reconstructed result in an accident with binary interval traces, and it can overcome the interval extension problem well. The second method is based on interval arithmetic and the first method, it is used for calculating the ternary interval of the accident reconstruction result in an accident with ternary interval traces, and the most probable value of the reconstructed result is a number. The basic idea of the third method is the same as that of the second method, it is used for calculating the ternary interval of the accident reconstruction result in an accident with mixed interval traces, and the most probable value of the reconstructed result is an interval. All methods are demonstrated and validated by numerical cases. The results show that all methods are feasible and practical. Finally, a true vehicle-motorcycle accident is given, in which the braking distance of vehicle, and the throw distances of driver and motorcycle are all binary interval traces. The accident is reconstructed by the software PC-Crash, and the interval of impact velocity is analyzed. The interval of the velocity is [55.7, 64.3] km/h. This interval result is more objective than a single number.

Key words: accident reconstruction, interval theory, binary interval, ternary interval, vehicle velocity

中图分类号:

U 461.91

ZOU Tiefang1,2* (邹铁方), LI Hua1,2 (李华), LI Yuelin1,2 (李岳林),CAI Ming3 (蔡铭), XIAO J. Methods for Calculating Intervals of Reconstructed Results in Traffic Accidents with Different Types of Interval Traces[J]. 上海交通大学学报（英文版）, 2017, 22(5): 555-561.

ZOU Tiefang1,2* (邹铁方), LI Hua1,2 (李华), LI Yuelin1,2 (李岳林),CAI Ming3 (蔡铭), XIAO Jing1,2 (肖璟). Methods for Calculating Intervals of Reconstructed Results in Traffic Accidents with Different Types of Interval Traces[J]. Journal of shanghai Jiaotong University (Science), 2017, 22(5): 555-561.

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Methods for Calculating Intervals of Reconstructed Results in Traffic Accidents with Different Types of Interval Traces

Methods for Calculating Intervals of Reconstructed Results in Traffic Accidents with Different Types of Interval Traces

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