﻿ 允许两辆车驶入的避险车道设置
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 同济大学学报(自然科学版)  2019, Vol. 47 Issue (4): 508-514.  DOI: 10.11908/j.issn.0253-374x.2019.04.009 0

### 引用本文

SONG Cancan, ZHU Guirong, GUO Zhongyin. Establishment of Truck Escape Ramp Allowing Two Vehicles Entering[J]. Journal of Tongji University (Natural Science), 2019, 47(4): 508-514. DOI: 10.11908/j.issn.0253-374x.2019.04.009

### 文章历史

1. 同济大学 道路与交通工程教育部重点实验室，上海 201804;
2. 云南交投集团云岭建设有限公司，云南 昆明 650224

Establishment of Truck Escape Ramp Allowing Two Vehicles Entering
SONG Cancan 1, ZHU Guirong 2, GUO Zhongyin 1
1. Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji University, Shanghai 201804, China;
2. YCIC Group Highway Operations & Management Co., Ltd., Kunming 650224, China
Abstract: For truck escape ramp (TER) allowing two vehicles to enter, we abstract the stopping positions of the two vehicles that have entered TER one after another as independent events, and establish a probabilistic model that both vehicles can successfully enter TER. The results based on simulation data show that: when the mainline is straight, the probability that the two vehicles successfully enter TER is higher than when the mainline is curved. Even if the mainline is straight and the arrest bed width is 5 times of the vehicle width, the probability of the two vehicles successfully entering TER is still no more than 15%. It indicates that it is impossible to ensure the second vehicle entering TER successfully by only widening the width of the arrest bed without setting the required length of approach road.
Key words: road engineering    truck escape ramp(TER)    probability model    driving simulation    two vehicles entering    approach road

1 模型抽象

 图 1 失控车辆驶入避险车道示意图 Fig.1 Diagram of out of control vehicle entering truck escape ramp

2 模型建立

2.1 前车距离左侧护栏较近

 图 2 前车靠左侧护栏的停驶位置 Fig.2 Stop position of the first vehicle next to left barriers
 $\begin{array}{l} {P_1} = P(X < x)P((x + l + b) < X < (9.0 + a - l)), \\ \;\;\;\;\;x \in [a, a + l + b) \end{array}$ (1)
2.2 前车靠近服务车道

 图 3 前车靠近服务车道的停驶位置 Fig.3 Stop position of the first vehicle next to service lane
 $\begin{array}{l} {P_2} = P(X > x)P(a < X < (x - l - b)), x \in [9.0 + \\ \;\;\;\;\;\;a - 2l - b, 9.0 + a - l) \end{array}$ (2)
2.3 车辆停驶于制动床中间

 图 4 前车在制动床中间的停驶位置 Fig.4 Stop position at the middle of arrest bed
 $\begin{array}{l} {P_3} = P((a + l + b)X < x)(P(a < X < (x - l - \\ \;\;\;\;\;\;b)) + P((x + l + b) < X < (9.0 + a - l)), \\ \;\;\;\;\;\;x \in [a + l + b, 9.0 + a - 2l - b) \end{array}$ (3)

 $\begin{array}{l} P = \\ \left\{ {\begin{array}{*{20}{l}} {P(X < x)P((x + l + b) < X < (9.0 + a - l), \;\;\;\;\;x \in [a, a + l + b)}\\ {P((a + l + b)X < x)(P(a < X < (x - l - b)) + P((x + l + b) < X < (9.0 + a - l)), }\\ {\quad x \in [a + l + b, 9.0 + a - 2l - b)}\\ {P(X > x)P(a < X < (x - l - b)), \quad x \in [9.0 + a - 2l - b, 9.0 + a - l)} \end{array}} \right. \end{array}$ (4)

 $P_{\mathit{\boldsymbol{e}}}=\int_{a}^{(9.0+a-l)} P \mathit{\rm{d}} x$ (5)

3 横向分布概率建立

 图 5 驾驶模拟实验车与道路模型 Fig.5 Experimental vehicle and road model of driving simulation

4 结果分析

 图 6 直线和不同平曲线半径下车辆横向停驶位置累积频率拟合曲线 Fig.6 Cumulative frequency fitting curve of vehicle transverse stopping position under straight line and different circular curve radii
 图 7 直线和不同平曲线半径下第二辆车能够成功驶入避险车道的概率分布 Fig.7 Probability distribution of the second vehicle successfully entering truck escape ramp under straight line and different circular curve radii

 图 8 直线和不同平曲线半径下车辆成功驶入避险车道的概率分布 Fig.8 Probability distribution of vehicle successfully entering truck escape ramp under straight line and different circular curve radii
5 结语

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