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Unformatted text preview: Nonlinear Systems Modeling: some nonlinear effects Standard state equation description Equilibrium points Linearization about EPs Simulation and insight Equilibrium point design Some nonlinear effects Aerodynamic drag on a vehicle Rotodynamic pump Nonlinear spring effect Nonlinear geometry Check valve modeling Aerodynamic drag effect Typical aerodynamic drag on a passenger vehicle can be modeled by a drag force, Ra , given by 2 * * * ) 2 / ( r f D V A C Ra = where is mass density of air, C D is drag factor due to vehicle shape, A f is frontal (projected) area, and Vr is vehicle speed Rotodynamic pump A typical model for the outlet port of a rotodynamic pump is given by 2 2 3 * * Q k N k P 2 = where P is outlet port pressure, N is shaft speed, and Q is outlet port flow. Hardening spring A typical relation for the characteristic of a hardening spring is given by where F is the spring force and is the spring deflection from free length....
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This note was uploaded on 07/25/2008 for the course ME 457 taught by Professor Rosenberg during the Spring '07 term at Michigan State University.
 Spring '07
 ROSENBERG

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