...-proportional damping viscous damping linear oscillators The coupled response of a non-conservative distributed parameter structure with several lumped parameter damped oscillators appended often called in literature combined or hybrid dynamic systems , is a problem of broad significance...

... by uniquely defining the total energy of vibration as the sum of the kinetic and potential energies averaged over a cycle. Using the proposed definition, the system loss factor is analyzed for the cases of viscous and structural damping. For viscous damping, the system loss factor is found to be equal...

... damping are stated. In this section, a few open problems regarding the stability of nonlinear moving strings with the Kelvin–Voigt damping are stated. The stability results in Secs. 2 3 crucially rely on the fact that there is viscous damping in the string, i.e., δ > 0 . Now, suppose...

..., and S is the strain of the beam. The term Q e describes the nonconservative forces due to the induced eddy currents and is written as: 21 Q e = − c e u ̇ ( x e , t ) = − c e u ̇ e where c e is the viscous damping force from the eddy...