A non-linear model for elastic hysteresis in the time domain: Implementation for multiple degrees of freedom
Dwaikat M.M.S. Spitas C. Spitas V.
October 2021SAGE Publications Ltd
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
2021#235Issue 204612 - 4624 pp.
A model that captures the weak frequency sensitivity of elastic hysteretic damping is proposed for the time-domain simulation of structures with multiple degrees of freedom (MDOF) under free or forced vibration. The model is based on a recently proposed modification to the conventional single degree of freedom (SDOF) viscous damping model, utilising a correction factor computed based on the local instantaneous response to adjust the damping coefficient such that the dissipated energy remains insensitive to the frequency characteristics of the motion. The model compares favourably to the well-established viscous (incl. Collar’s frequency correction), Rayleigh and Reid MDOF models, is applicable to any type of loading and, unlike other classes of damping models, such as Rayleigh, modal, Bouc-Wen, Biot, and Collar/Neumark, does not require extensive calibration, knowledge of the past history of motion, or a priori knowledge of the excitation characteristics and frequency.
damping , frequency dependency , Hysteresis , mechanical vibration , time-domain dynamical simulation , viscous
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Department of Civil Engineering, An-Najah National University, Nablus, Palestine
Department of Mechanical and Aerospace Engineering, Nazarbayev University, Kazakhstan
Department of Mechanical Engineering, National Technical University of Athens, Athens, Greece
Department of Civil Engineering
Department of Mechanical and Aerospace Engineering
Department of Mechanical Engineering
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