Abstract
Forced longitudinal vibrations of a prismatic slender bar with quadratic skin damping and equivalent viscous damping are considered. The bar is assumed to be free at one end and subjected to sinusoidal motion at the other. The differential equation of motion for the case of quadratic damping is solved numerically by the method of characteristics. Frequency-response curves are given for several values of the nonlinear damping coefficient. The equivalent linear system is analyzed by Laplace transforms, and the results are compared with those for the nonlinear system. The equation of motion is linearized by equating the energies dissipated per cycle by quadratic and viscous damping.
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