A proportionally damped 2-DOF system has mass and stiffness matrix M and K. We also know that the system has damping ratio ζ1 = 0.1 and 2 = 0.3. The damping matrix is written as
C = α M + β K + γ KM-1K
Try to find the coefficients
Mx"+Cx'+kx=0
CM^-1K=KM^-1C...