Mathematical Modelling and Experimental Validation of Bifurcation Dynamics of One-Degree-of-Freedom Oscillator with Duffing-Type Stiffness and Rigid Obstacle

Abstract Purpose In the work there are presented results of synthesis and additional validation previously developed mathematical models two different mechanical oscillators with 1 degree freedom harmonic excitation: (i) magnetically modified elasticity generating a double symmetrical minimum potential; (ii) linear springs one-sided limiter motion. Methods first case, original non-linear magnetic were developed, allowing for effective fast numerical simulations bifurcation dynamics real oscillator Duffing type stiffness. second system, various impact proposed tested: continuous based on generalized Hunt–Crossley model discontinuous versions this restitution coefficient finite duration collision. frame present work, system consisting used in obstacles from was built investigated. The as new configuration special universal stand earlier studies mentioned here. Results Conclusion current study, parameters identified previous systems used, which is work. A very good agreement obtained between experimental data, thus demonstrating correctness effectiveness adopted models.