On the Stability of the Impact Damper

Sami F. Masri, T. K. Caughey

Journal of Applied Mechanics · 1966 · 229 citations · 0 references

Concepts

Abstract

The exact solution for the symmetric two-impacts-per-cycle motion of the impact damper is derived analytically, and its asymptotically stable regions are determined. The stability analysis defines the zones where the modulus of all the eigenvalues of a certain matrix relating conditions after each of two consecutive impacts is less than unity.