Stability of a Semi-Active Impact Damper: Part II—Periodic Solutions

Abstract
All solutions of the semi-active impact damper described in Part I were shown to be bounded when the excitation is bounded. In this part, the existence of periodic solutions is investigated. Emphasis is placed on two impacts/cycle periodic solutions. Exact symmetric and nonsymmetric harmonic solutions are derived analytically and the region of asymptotic stability is determined.

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