Answer to Question #292142 in Mechanical Engineering for Sadiq Muhammad

Question

When shock absorber dump out oscillation cause by road roughness, describe how temperature change may affect the operation of a shock absorber

Answer 1

One of many possible ways to model the situation presented in this problem is to assume that the vehicle shock absorber, is constructed from two coaxial cylinder-shaped objects, first (cylindrical ram) connected to the vehicle's wheel, and second (cylindrical bearing that contains the ram) connected to the vehicle's body. The way this shock absorbers work is by damping the mechanical oscillation on the wheels. The law of damped mechanical oscillation is: 

$q{(t)}=e^{-\beta.t}.A.[\omega.t-\phi]$

Where q is some generalized coordinate used to measure mechanical displacement, and 13 is the force of friction. If we fix our frame of reference on the vehicle's body, then the moving ram behaves like a harmonic oscillator, that has to be damped, in order to reduce vibration on the vehicle's body. Damping oscillations of the ram are done by applying some kind of friction force on it. The Source of the frictional force in our case is going to be the viscosity of the liquid, in the gap between ram and the cylinder that contains it.