2013/01/15 by Nadia Ben Brahim, Brahim, Nadia Ben, B. Rousselet +2 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Bladed Disk Vibration Dynamics #Classical Physics (physics.class-ph) #Composite Structure Analysis and Optimization #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Structural Health Monitoring Techniques #math.DS #physics.class-ph
paper · pdf · doi:10.48550/arxiv.1301.3294
36 pages
openalex publication_date 2013/01/15 · arxiv created 2013/06/21 · arxiv updated 2013/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider \it small solutions of a vibrating system with smooth non-linearities for which we provide an approximate solution by using a double scale analysis; a rigorous proof of convergence of a double scale expansion is included; for the forced response, a stability result is needed in order to prove convergence in a neighbourhood of a primary resonance.