Question

What is the formula for damping factor?

Answer 1

1. The damping ratio is a dimensionless quantity that describes how vibrations diminish after a change in a system.
2. When a system is moved away from its static equilibrium position, it exhibits oscillatory behavior.
3. A mass strung from a spring, for example, might leap up and down if drawn and released.
4. The system returns to its equilibrium state but overshoots it on each bounce.
5. The damping ratio is an estimate that describes how quickly vibrations diminish from one bounce to the next.
6. The damping factor, denoted by $b$, is a system parameter that might differ from undamped $(b=0)$,underdamped $(b<1)$ through critically damped $(b=1)$ to overdamped $(b>1)$
7. The damping factor is the most important parameter in resonant circuits. It can be written as $b$. It quantifies the rate at which oscillations decrease when the source is removed and can be calculated using the formula:${\zeta }_L=\frac{\text{damping coefficient}}{\text{critical damping}\mathrm{coefficient}}$and we can write ${\zeta }_{\alpha }=\frac{c}{c_c}$
   damping coefficient $\left(c\right)=\frac{F}{x}$and critical damping coefficient $c_c=2\sqrt{\mathrm{km}}$.