Use this Damping Ratio Calculator to quickly determine the dimensionless damping ratio (ζ) of a second-order mechanical system. Input the damping coefficient, mass, and spring constant to understand how oscillations decay. Crucial for engineers and students analyzing system stability and transient response.
Formula:
The Damping Ratio (ζ) is calculated using the formula for a single-degree-of-freedom system:
ζ = c / (2 * √(m * k))
Where:
c = Damping Coefficient (Ns/m)
m = Mass (kg)
k = Spring Constant (N/m)
√(x) represents the square root of x.