Question
The damping ratio for a viscously damped spring mass system, governed by the relationship is \(m\frac{{{d^2}x}}{{d{t^2}}} + c\frac{{dx}}{{dt}} + kx = F\) given by
The correct answer is
\(\frac{c}{{2\sqrt {km} }}\)
Critical viscous damping is \(c_c=2\sqrt{km}\). The damping ratio is \(\zeta=c/c_c=c/(2\sqrt{km})\).
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Important Questions from Damping Coefficient and Damping Ratio
- Ratio of actual to critical damping coefficient in forced vibrations is known as ________.
- 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
- 6ẍ + 9ẋ + 27x = 0 is the equation of motion for a damped vibration. The damping factor shall be:
______ 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
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