Periodic response and stability analysis of a two-degree-of-freedom symmetric vibro-impact system with fractional-order dynamics

Key Points

• Periodic response is influenced by the system's fractional-order dynamics, and it shows unique stability characteristics.
• Key stability metrics reveal the system's behavior under varying conditions, with critical points noted in the analysis.
• This observational analysis focuses on a two-degree-of-freedom symmetric vibro-impact system, assessing its dynamic behaviors.
• Findings indicate implications for design and application in engineering, suggesting further exploration in fractional-order models.