Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic Flow : an Introduction to Applied Mathematics |
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Page 259
... 76-77 ) . A number of examples with traffic shocks are described ( Secs . 78-82 ) . These include the traffic pattern formed by a uniform flow of traffic being stopped by a red light and the effect of a 259 INTRODUCTION TO TRAFFIC FLOW.
... 76-77 ) . A number of examples with traffic shocks are described ( Secs . 78-82 ) . These include the traffic pattern formed by a uniform flow of traffic being stopped by a red light and the effect of a 259 INTRODUCTION TO TRAFFIC FLOW.
Page 265
... Measurements of traffic flow could have been taken over even shorter time intervals . However , if measurements were made on an extremely short interval of 265 Sec . 58 Traffic Flow and Traffic Density TRAFFIC FLOW AND TRAFFIC DENSITY.
... Measurements of traffic flow could have been taken over even shorter time intervals . However , if measurements were made on an extremely short interval of 265 Sec . 58 Traffic Flow and Traffic Density TRAFFIC FLOW AND TRAFFIC DENSITY.
Page 289
Mechanical Vibrations, Population Dynamics, and Traffic Flow : an Introduction to Applied Mathematics Richard Haberman. In the work to follow u ( p ) is assumed to be obtained by any similiar ... flow 289 Sec . 63 Traffic Flow TRAFFIC FLOW.
Mechanical Vibrations, Population Dynamics, and Traffic Flow : an Introduction to Applied Mathematics Richard Haberman. In the work to follow u ( p ) is assumed to be obtained by any similiar ... flow 289 Sec . 63 Traffic Flow TRAFFIC FLOW.
Contents
Mechanical Vibrations 1 | 3 |
NEWTONS LAW | 4 |
NEWTONS LAW AS APPLIED TO A SPRINGMASS SYSTEM | 6 |
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Mathematical Models: Mechanical Vibrations, Population Dynamics, and Traffic ... Richard Haberman No preview available - 1998 |
Common terms and phrases
analyze approximation Assume c₁ c₂ calculated conservation of cars Consider corresponding d2x dt2 de/dt density wave velocity depends derived determine dq/dp dx dt dx/dt equilibrium population equilibrium position equilibrium solution example exercise exponential Figure flow-density force formula friction function growth rate highway increases initial conditions initial density initial traffic density initial value problem integral intersect isoclines logistic equation mass mathematical model maximum method of characteristics motion moving Newton's nonlinear pendulum number of cars observer occurs ordinary differential equation oscillation P/Pmax P₁ partial differential equation period phase plane Pmax potential energy problem qualitative region result sharks shock velocity Show shown in Fig simple harmonic motion Sketch the solution sketched in Fig slope solve species spring spring-mass system stable straight line Suppose Taylor series tion traffic flow traffic light trajectories Umax Umaxt unstable equilibrium variables velocity-density x₁ yields zero др