2024/10/01 by M. P. Calvo, Calvo, M. P., J. M. Sanz‐Serna +3
Engineering · #Elasticity and Wave Propagation #FOS: Mathematics #Numerical Analysis (math.NA) #Thermoelastic and Magnetoelastic Phenomena #Vibration and Dynamic Analysis
paper · pdf · doi:10.48550/arxiv.2410.00696
openalex publication_date 2024/10/01 · openalex created_date 2024/10/29 · openalex updated_date 2026/07/28
Autoresonance is a phenomenon of physical interest that may take place when a nonlinear oscillator is forced at a frequency that varies slowly. The stroboscopic averaging method (SAM), which provides an efficient numerical technique for the integration of highly oscillatory systems, cannot be used directly to study autoresonance due to the slow changes of the forcing frequency. We study how to modify SAM to cater for such slow variations. Numerical experiments show the computational advantages of using SAM.