Superharmonic Resonance in Piecewise-Linear System : Effect of Damping and Stability Problem

This paper deals with perfect Fourier series solutions for superharmonic vibrations in various piecewise-linear systems with viscous damping, and gives a stability criterion for these solutions utilizing Hill's infinite determinant. Resonance curves for superharmonic vibrations of the 3rd order and stability charts for vibrations of Type I are constructed. The results using analog computer are shown to confirm these curves and charts.