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.

Title

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Publisher

Institution of Mechanical Engineers

Publisher Country

United States of America

Indexing

Thomson Reuters

Impact Factor

1.76

Publication Type

Both (Printed and Online)

Volume

235

Year

2021

Pages

4612-4624