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Viscous dampers commonly mitigate structural vibrations, and various models exist to capture their nonlinear behavior. This article proposes a Hysteretic Maxwell model obtained by evolving the standard Maxwell model to effectively integrate the hysteresis effect. The model entails only a limited number of parameters. The optimized model parameters are identified by fitting model predictions with reported experimental measurements. A numerical case study is conducted, focusing on the longest stay cable of the Rades-La Goulette cable-stayed bridge. Simulation results emphasize the significant improvement of the proposed model over its predecessor, showcasing reductions in both free and forced first-mode vibrations.
Soltane et al. (Sun,) studied this question.