Periodic solution finder for an impact oscillator with a drift

Ekaterina Pavlovskaia (1) , Marian Wiercigroch (1)

1 Centre for Applied Dynamics Research

In this paper, an efficient semi-analytical method is develop ed to comp ute p eriodic solutions for a new model of an imp act oscillator with a drift, which exp lai ns the p rogression mechanism in vibro-impact systems and can be used to op timize their p erfor mance. The method constructs a p eriodi c response assuming that each period is comprised of a sequence of distinct phases for which analytical solutions are known. For example, a period may consist of the following sequential phases: (I) contact with progression, (II) contact without p rogres sion, (III) no contact and (IV) contact without p rogres sion. Using this information, a system of four piecewise linear first order differential equations is transformed to a system of non-linear algebraic equations. The method allows one to accurately predict a range of control parameters for which the best p rogression rates are obtained.

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des structures [physics.class-ph]; Vibrations [physics.class-ph]; Génie mécanique [physics.class-ph]; Dynamique, vibrations; Structures

Ekaterina Pavlovskaia, Marian Wiercigroch. Periodic solution finder for an impact oscillator with a drift. Journal of Sound and Vibration, 2003, 267, pp.893 - 911. ⟨10.1016/S0022-460X(03)00193-7⟩. ⟨hal-01510819⟩