Damping Models for Inelastic Time-History Analyses

Abstract eng:
Although a lot of issues have been identified with the classical Rayleigh damping model, to date this model remains the most popular choice for nonlinear time-history analysis. So, in order to have a model devoid of the untoward effects of those issues, a new paradigm was proposed by the authors in Puthanpurayil et al (2016) which formulates damping at an elemental level. Two new damping models, Elemental Rayleigh and Elemental Wilson-Penzien, were proposed which are the elemental adaptations of their respective global damping models. In this paper a further extension of the elemental WilsonPenzien damping model implemented in the form of a tangent damping matrix is proposed. Implementation of the tangent model enables elemental nonlinearity, and thus the overall system nonlinearity, to be reflected in the damping matrix. The performance of this proposed model in comparison to the existing models (both elemental and global) is illustrated by reporting Incremental Dynamic Analysis (IDA) of a four-storey reinforced-concrete frame designed to Eurocodes. The IDA study shows that the tangent form of the elemental Wilson-Penzien model provides a more reliable estimate of the structural responses in comparison to all other models.

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