Question

A suspension system is being designed for a 1300 kg vehicle. When the vehicle is empty, its static deflection is measured as 2.50 mm. It is estimated that the largest cargo carried by the vehicle will be 1000 kg. What is the minimum value of the damping coefficient such that the vehicle will be subject to no more than 5% overshoot, whether it is empty or filled?

Answer 1

To find the minimum value of the damping coefficient, you can use the damping ratio formula and the formula for the damping coefficient.

Step-by-step explanation:

To determine the minimum value of the damping coefficient to prevent the vehicle from experiencing more than 5% overshoot, we can use the formula for the damping ratio:

ζ = ln(0.05) / sqrt((π^2) + (ln(0.05))^2)

The damping coefficient, c, can then be calculated using the formula:

c = 2 * sqrt(m * k) * ζ

Substituting the given values for mass and static deflection, we can find the minimum value of the damping coefficient.

Answer 2

Answer: damping coefficient = 1.5×10^5Ns/m

Step-by-step explanation:

Please find the attached file for the solution