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积分形式的交通流动量方程及其应用 被引量:1

Traffic Momentum Equation in Integral Calculus Form and Its Application
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摘要 根据交通流系统所具有的物理量对时间的全导数的积分公式,即系统内物理量对时间的全导数等于控制域内该物理量对时间的偏导数与单位时间经过控制线的该物理量的通量之和,结合质点系动量定理,建立了积分形式的交通流动量方程,即系统内的交通流动量对时间的导数等于作用在系统上的外力的矢量和,计算了控制域内动量随时间的变化率,以此判断其交通状况。 The integral calculus formuln of physical quantity of traffic flow system is obtained. The first derivative of physical quantity of the system with respect to time equals the partial derivative of physical quantity of control field to time plus clear flux of physical quantity passing the control line in unit time. According to the law of conservation of mo mentum, traffic momentum cpuation in integral ealculus form is obtained. The rate of the momenturn change of the systcm is balanced by the force acting on this system. The rate of the momentum change in control fieht with respect to time is calculated to recognize the situation.
作者 刘琳玲 王富
出处 《交通信息与安全》 2010年第1期90-93,共4页 Journal of Transport Information and Safety
基金 湖北省教育厅优秀中青年科研项目(批准号:2003B001)资助
关键词 交通流理论 宏观模型 动量定理 动量方程 traffic flow theory macro-model momentum law momentum equation
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