A vehicle suspension system consists of a spring and a damper. The stiffness of the spring is 3.6 kN/m and the damping constant of the damper is 400 Ns/m. If the mass is 50 kg, then the damping factor ζ and damped natural frequency (fd), respectively, are
0.471 and 1.19 Hz
ζ=c/(2√km)=400/(2√(3600×50))=0.4714. Damped angular frequency is √(k/m)√(1−ζ²)=7.483 rad/s; dividing by 2π gives 1.191 Hz.
______ is defined as the ratio of the actual damping coefficient to a critical damping coefficient.
A spring-mass-damper system having single degree of freedom has a spring with strength 25 kN/m, mass 0.1 kg and coefficient of damping 40 N-s/m. The damping factor of the system will be