second-order damping ratio
compares actual damping and critical damping to predict the response shape of the second-order system.
symbols, variables and units
c: N·s/m; k: N/m; m: kg; ζ: dimensionless.
applicable conditions and boundaries
linear mass-spring-viscous damping system, m,k>0.
formula source code
The following is a copyable LaTeX expression.
\zeta=\frac{c}{2\sqrt{km}}Reference and Extended Learning
University of Michigan · Control Tutorials for MATLAB and Simulink ↗is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.
damping ratiovibration