A compact, equality-based weighted residual formulation for periodic solutions of systems undergoing frictional occurrences

• Published in: Journal of Structural Dynamics Vol. 2; pp. 144 - 170
• Main Authors: Legrand, Mathias, Pierre, Christophe
• Format: Journal Article
• Language: English
• Published: Université de Liège 01.01.2024
• Subjects: Engineering Sciences; Mechanics; Vibrations; periodic solution; Coulomb's dry friction; vibration analysis; nonsmooth dynamics

A very compact weighted residual formulation is proposed for the construction of periodic solutions of oscillators subject to frictional occurrences. Coulomb's friction is commonly expressed as a differential inclusion which can be cast into the complementarity formalism. When targeting periodi...