Damping Ratio or Damping Factor Calculator

Calculate Damping Ratio or Damping Factor ±5%

kg ±5%

N/m ±5%



Formula

The formula to calculate the Damping Ratio or Damping Factor is:

\[ \zeta = \frac{c}{2 \sqrt{m \cdot K_{spring}}} \]

Definition

Damping Ratio in a control system is defined as the ratio with which any signal gets decayed. Damping Coefficient is a material property that indicates whether a material will bounce back or return energy to a system. Mass is defined as the force exerted by an object due to the effect of gravity on any surface. Spring Constant is the displacement of the spring from its equilibrium position.

Example Calculation

Let's assume the following values:

Using the formula:

\[ \zeta = \frac{16}{2 \sqrt{35.45 \cdot 51}} = 0.188146775281754 \]

Conversion Chart

Damping Coefficient (c) Mass (m) Spring Constant (Kspring) Damping Ratio (ζ)
10 35.45 51 0.117591734551096
12 35.45 51 0.141110081461315
14 35.45 51 0.164628428371535
16 35.45 51 0.188146775281754
18 35.45 51 0.211665122191973
20 35.45 51 0.235183469102192