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Elastic Collisions: Case Study

Elastic Collisions: Case Study

Elastic collision of a system demands conservation of both momentum and kinetic energy. To solve problems involving one-dimensional elastic collisions between two objects, the equations for conservation of momentum and conservation of internal kinetic energy can be used. For the two objects, the sum of momentum before the collision equals the total momentum after the collision. An elastic collision conserves internal kinetic energy, and so the sum of kinetic energies before the collision equals...

Manipulation and Analysis

Manipulation and Analysis

GIS manipulation and analysis functions are vital for decision-making and planning. These activities range from data retrieval tasks, such as selecting information based on specific criteria, to advanced analytical techniques that address complex spatial problems.One critical GIS analysis method is overlaying, which combines multiple data layers to examine impacts. For example, overlaying a river-dammed lake boundary with road networks can identify affected infrastructure. Another common...

Collisions in Multiple Dimensions: Problem Solving

Collisions in Multiple Dimensions: Problem Solving

In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...

Design Example: Analyzing Capacity Contours for Flood Risk Assessment

Design Example: Analyzing Capacity Contours for Flood Risk Assessment

Flood risk assessment involves careful planning and analysis to ensure the safety of communities near water retention structures. Capacity contours are a vital tool in this process, as they illustrate the potential spread of water at specific levels in a given area. In the context of building a bund across a small valley, these contours play a critical role in evaluating the safety of nearby residential areas.In this example, the bund is intended to store stormwater in the valley. The engineers...

Elastic Collisions: Introduction

Elastic Collisions: Introduction

An elastic collision is one that conserves both internal kinetic energy and momentum. Internal kinetic energy is the sum of the kinetic energies of the objects in a system. Truly elastic collisions can only be achieved with subatomic particles, such as electrons striking nuclei. Macroscopic collisions can be very nearly, but not quite, elastic, as some kinetic energy is always converted into other forms of energy such as heat transfer due to friction and sound. An example of a nearly...

Entropy Change in Reversible Processes

Entropy Change in Reversible Processes

In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.

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相关实验视频

Updated: Sep 8, 2025

Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street

Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street

Published on: January 20, 2023

使用最大稳定过程方法,用于交通冲突的空间通用极端值框架.

Quansheng Yue¹, Yanyong Guo¹, Tarek Sayed²

¹School of Transportation, Southeast University, Nanjing 211189, China; Jiangsu Key Laboratory of Urban ITS, Jiangsu Collaborative Innovation Center of Modern, Urban Traffic Technologies, China.

Accident; analysis and prevention

|July 11, 2025

概括

此摘要是机器生成的。

本研究引入了一个空间极端值理论 (EVT) 模型,使用最大稳定过程 (MSP) 来分析交通事故风险,揭示极端交通冲突中的空间相关性,并确定外部车道和入口坡道的更高风险.

关键词:

极端价值理论是一个极端价值理论.最大稳定的过程过程.安全评估安全评估空间依赖空间依赖交通冲突交通冲突

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Spatial Temporal Analysis of Fieldwise Flow in Microvasculature

Spatial Temporal Analysis of Fieldwise Flow in Microvasculature

Published on: November 18, 2019

相关实验视频

Last Updated: Sep 8, 2025

Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street

Evaluating the Effect of Roadside Parking on a Dual-Direction Urban Street

Published on: January 20, 2023

Evaluation of an Exclusive Spur Dike U-Turn Design with Radar-Collected Data and Simulation

Evaluation of an Exclusive Spur Dike U-Turn Design with Radar-Collected Data and Simulation

Published on: February 1, 2020

Spatial Temporal Analysis of Fieldwise Flow in Microvasculature

Spatial Temporal Analysis of Fieldwise Flow in Microvasculature

Published on: November 18, 2019

科学领域:

交通安全工程交通安全工程
空间统计的空间统计.
极端价值理论是一个极端价值理论.

背景情况:

传统的极端价值理论 (EVT) 模型用于事故风险评估,忽视了不同区域的空间依赖.
积极的交通安全管理需要准确的撞车风险估计,考虑到地理差异.

研究的目的:

开发和验证使用最大稳定过程 (MSP) 进行空间EVT建模框架,以分析交通冲突和估计碰撞风险.
调查极端交通冲突的空间依赖及其对撞车风险估计的影响.

主要方法:

使用来自US101的NGSIM数据集的车辆轨迹数据,将碰撞时间 (TTC) 作为冲突指标.
应用了三种类型的MSP模型 (Schlather,Brown-Resnick,Smith) 与各种相关性和链接函数,使用对对复合概率进行估计.
使用极端系数来量化空间依赖和估计不同区域的撞车风险.

主要成果:

在极端的交通冲突中发现了显著的空间相关性,随着距离的增长而减少.
施拉瑟模型具有动力指数相关函数,证明了最佳的适合性,优于其他MSP模型.
内部车道的撞车风险低于外部车道,入口坡道的撞车风险高于出口坡道.

结论:

拟议的空间EVT模型有效地捕捉了极端交通冲突中的空间依赖性,改善了碰撞风险估计.
这些发现强调了将空间共变量纳入准确的交通安全分析的重要性.
该模型的结果与TTC热图相一致,验证了其用于识别高风险交通区域的可靠性.