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Table 2 Damping ratios and natural frequencies of the 3 DoF unconstrained mechanical system

From: Analytical methodology for the analysis of vibration for unconstrained discrete systems and applications to impedance control of redundant robots

  \(\lambda _{1,2}\) \(\lambda _{3,4}\)
\(\omega _n\) 30.97 40.22
\(\zeta\) 0.0976 0.255
  1. Data from both pairs of eigenvalues in the modal space are tabulated