The quarter-car model of a vehicle suspension is shown in Figure 4.5.8a. In this

Question

The quarter-car model of a vehicle suspension is shown in Figure 4.5.8a. In this simplified model, the masses of the wheel, tire, and axle are neglected, and the mass m represents one-fourth of the vehicle mass. The spring constant k models the elasticity of both the tire and the suspension spring. The damping constant c models the shock absorber. The equilibrium position of m when x=0 is y=0. The road surface displacement x(t) can be derived from the road surface profile and the car's speed. Derive the equation of motion of m withx(t) as the input, and obtain the transfer function. Figure 4.5.8 A quarter-car model with a single mass.

Explanation / Answer

given,m=500kg,c=3500N-s/m,k=6000

by converting it to a electrical system and replacing the mechanical components to its analogy electrical components,

MS2.X(S)+CS.X(S)+K.X(S)=Y(S)

G(S)=Y(S)/X(S)

G(s)=1/(MS2+CS+K)

now applying the values of M,K,C

G(S)=1/(500S^2+3500S+6000)

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.