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Question

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

The correct answer is

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.

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Important Questions from Damping Coefficient and Damping Ratio

  1. Ratio of actual to critical damping coefficient in forced vibrations is known as ________.
  2. If a vibrating system consists of a mass of 50 kg a spring with stiffness of 30 kN/m; then the value of critical damping coefficient will be
  3. 6ẍ + 9ẋ + 27x = 0 is the equation of motion for a damped vibration. The damping factor shall be:
  4. ______ is defined as the ratio of the actual damping coefficient to a critical damping coefficient.

  5. 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

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