%0 Journal Article %T Finite Element Modelling and Simulation of the Hysteretic ‎Behaviour of Single- and Bi-metal Cantilever Beams using a ‎Modified Non-linear Beta-damping Model %J Journal of Applied and Computational Mechanics %I Shahid Chamran University of Ahvaz %Z 2383-4536 %A Tariq, Hamza Bin %A Rajakumar, Charles %A Zhang, Dichuan %A Spitas, Christos %D 2021 %\ 07/01/2021 %V 7 %N 3 %P 1663-1675 %! Finite Element Modelling and Simulation of the Hysteretic ‎Behaviour of Single- and Bi-metal Cantilever Beams using a ‎Modified Non-linear Beta-damping Model %K Hysteretic damping %K Kelvin-Voigt model %K beta-damping %K Finite element analysis %K time-domain %R 10.22055/jacm.2021.35420.2651 %X This paper explores a novel non-linear hysteresis model obtained from the modification of the conventional Kelvin-Voigt model, to produce a non-viscous hysteretic behaviour that is closer to metal damping. Two case studies are carried out for a vibrating cantilever beam under tip loading (bending), the first considering a single uniform material and the second considering a bimetallic structure. The damping behaviour is studied in the frequency domain (constant damping ratio model vs. Kelvin-Voigt/ beta damping model) and time-domain (proposed modified hysteresis model vs. Kelvin-Voigt/ beta damping model). In the frequency domain, it was found that the Kelvin-Voigt model essentially damps out the displacement response of the modes more than the constant damping ratio model does. In the transient analysis, the Kelvin-Voigt model likewise produced unnaturally rapid damping of the oscillations for both the single- and bi-metal beam, compared to the modified hysteretic damping model, which produced a damping behaviour closer to actual metal behaviour. This was consistent with results obtained in the frequency domain. %U https://jacm.scu.ac.ir/article_16709_f069479a46428700818a1cfaa32facb9.pdf