Abstract
The additional damping ratio (ADR) is an important indicator for evaluating the damping effect of structures with energy-dissipation devices. Most existing methods for determining the ADR require an analysis of the structural dynamic response and complex iterative calculations. An innovative simplified calculation method for determining the ADR of a structure supplemented by nonlinear viscous dampers is proposed. This method does not require the dynamic response of the structure to be calculated and only requires the structural characteristics, excitation frequency, and damper parameters. In this study, several typical calculation methods for the ADR were analysed. Then, a calculation formula for the ADR was derived with consideration of harmonic excitation under the condition where the excitation frequency is equal to the structural natural frequency, without calculation of the structural dynamic response or an iterative process. The effect of the excitation frequency on the calculated value of the ADR with different damping exponents was studied. Accordingly, the response spectrum average period (RSAP) was considered as the excitation period of ground motion to evaluate the excitation frequency, and a simplified calculation method for the ADR considering the effect of the excitation frequency characterised by the RSAP of the ground motion was established. Finally, the accuracy and effectiveness of the proposed method were verified by comparison with ADRs calculated using other methods.
Highlights
In the past two decades, many major earthquakes have occurred in the world, which have caused many casualties and considerable property damage [1,2,3]
Both structural and nonstructural failures induced by seismic excitation are responsible for the losses. erefore, it is vital to improve the seismic performance of building structures. e introduction of passive energy-dissipation technology to building structures provides an effective solution to increase the structural damping and mitigate the effect of seismic action, and the importance of damping has been widely recognised in the field of structural dynamics
A new simplified calculation method for the additional damping ratio (ADR) of a damping structure equipped with a nonlinear viscous damper was developed on the basis of previous studies. e accuracy of this method was verified by analysing a six-story RC frame structure
Summary
In the past two decades, many major earthquakes have occurred in the world, which have caused many casualties and considerable property damage [1,2,3]. A method for calculating the ADR based on the concept of effective modal damping energy dissipation was proposed by Weng et al [29], which has a clear physical significance and fully considers the timevarying characteristics of the effective damping ratio. The error between the prediction results of this method and the calculation results based on time-history analysis was significant He et al [32] proposed an effective finite-element analysis method for calculating the modal damping ratio of complex materials and proved the effectiveness and accuracy of the method through a theoretical analysis and a comparison with experimental results.
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