Influence of asymmetric behavior on the frequency response and stability of rate-independent hysteretic mechanical systems

We analyze the nonlinear response of mechanical systems that exhibit complex asymmetric rate-independent hysteretic behavior by adopting the recently formulated differential Vaiana-Rosati enhanced model of hysteresis in conjunction with a continuation method based on Poincaré maps. The proposed procedure allows for the evaluation of periodic solutions and the study of stability of a wide range of mechanical systems. In particular, the presented numerical results reveal the significant impact of asymmetric hysteresis loops on the frequency responses and demonstrate the usefulness of the proposed framework to investigate the nonlinear dynamic behavior of complex hysteretic systems subjected to harmonic excitations. • Frequency response analysis of asymmetric hysteretic systems using VRM+D. • Poincaré map method for identifying periodic solutions in hysteretic systems. • Asymmetry in hysteresis loops affects frequency response and stability. • Asymmetric hysteresis loops generate even harmonics and a zero-frequency component.