Question

Given: A schematic of a quarter car model and parameters. X= input yu= unsprung weight (tire + etc.) position y, sprung weight (body) position tire damping c,= suspension damping k tire stiffness k, spring stiffness ys Ms C ks Yu Mu Figure 1. Schematic of a quarter car model Tasks: Determine any potential non-linear behavior exists for any of the components. Give a brief description of the scenario where non-linearity can occur. Produce a linearized model (i.e. assume a non-linear spring or damper and perform linearization).

Answer 1

Griver MS 1 Mu CS Mu CCis- e )--iK Ga-1e) = Mue Mu tsCt) +Cst C tst)u-sis- C E)+ (79** Mu tsE)++Cu+(E1+COJu= gtar itt heCE) Ms ms tu +sCs-tu) +s Cts-)0 Cpurtiay These le Hlne