@article { author = {Tariq, Hamza and Rajakumar, Charles and Zhang, Dichuan and Spitas, Christos}, title = {Finite Element Modelling and Simulation of the Hysteretic ‎Behaviour of Single- and Bi-metal Cantilever Beams using a ‎Modified Non-linear Beta-damping Model}, journal = {Journal of Applied and Computational Mechanics}, volume = {7}, number = {3}, pages = {1663-1675}, year = {2021}, publisher = {Shahid Chamran University of Ahvaz}, issn = {2383-4536}, eissn = {2383-4536}, doi = {10.22055/jacm.2021.35420.2651}, abstract = {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.}, keywords = {Hysteretic damping,Kelvin-Voigt model,beta-damping,Finite element analysis,time-domain}, url = {https://jacm.scu.ac.ir/article_16709.html}, eprint = {https://jacm.scu.ac.ir/article_16709_f069479a46428700818a1cfaa32facb9.pdf} }