Effect of the elastic hysteresis term formulation and response to non-harmonic periodic excitations of a non-linear SDOF dynamical model with weak frequency-dependency in the time domain
Spitas C. Dwaikat M.S. Spitas V.
October 2021SAGE Publications Ltd
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
2021#235Issue 204637 - 4647 pp.
We elaborate a SDOF time-domain model for elastic hysteretic damping, by modifying the viscous damping model to introduce an instantaneous correction factor that recursively depends on the state variables of the system, such that the response exhibits weak dependency on frequency, corresponding to a large array of engineering materials. The effect of different formulations for calculating the instantaneous correction factor on the predicted hysteresis loops and the potential manifestation of singularities is studied. Hysteresis loops anticipated by the model are plotted and forced vibration responses to harmonic and other periodic non-harmonic excitations are simulated and discussed, also in comparison to the conventional viscous and Reid’s damping models.
damping , dynamics , Hysteresis , non-harmonic excitation , non-linear modelling , time-domain , vibration
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Department of Mechanical and Aerospace Engineering, Nazarbayev University, Kazakhstan
Department of Civil Engineering, An-Najah National University, Palestine
School of Mechanical Engineering, National Technical University of Athens, Greece
Department of Mechanical and Aerospace Engineering
Department of Civil Engineering
School of Mechanical Engineering
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