The characteristic equation of a single-degree-of-freedom system, given by Eq. (2.107), can be rewritten as

where \(a=c / m\) and \(b=k / m\) can be considered as the parameters of the system. Identify regions that represent a stable, unstable, and marginally stable system in the parameter plane-i.e., the plane in which \(a\) and \(b\) are denoted along the vertical and horizontal axes, respectively.

Equation 2.107:-

Transcribed Image Text:

s+as+b=0 (E.1)