Effect of the damper property variability on the seismic reliability of linear systems equipped with viscous dampers

Abstract

This version is available at https://strathprints.strath.ac.uk/62843/ Strathprints is designed to allow users to access the research output of the University of Strathclyde. Unless otherwise explicitly stated on the manuscript, Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Please check the manuscript for details of any other licences that may have been applied. You may not engage in further distribution of the material for any profitmaking activities or any commercial gain. You may freely distribute both the url (https://strathprints.strath.ac.uk/) and the content of this paper for research or private study, educational, or not-for-profit purposes without prior permission or charge.Any correspondence concerning this service should be sent to the Strathprints administrator: strathprints@strath.ac.ukThe Strathprints institutional repository (https://strathprints.strath.ac.uk) is a digital archive of University of Strathclyde research outputs. It has been developed to disseminate open access research outputs, expose data about those outputs, and enable the management and persistent access to Strathclyde's intellectual output. Abstract Viscous dampers are dissipation devices widely employed for seismic structural control. To date, the performance of systems equipped with viscous dampers has been extensively analysed only by employing deterministic approaches. However, these approaches neglect the response dispersion due to the uncertainties in the input as well as the variability of the system properties. Some recent works have highlighted the important role of these seismic input uncertainties in the seismic performance of linear and nonlinear viscous dampers. This study analyses the effect of the variability of damper properties on the probabilistic system response and risk. In particular, the paper aims at evaluating the impact of the tolerance allowed in devices' quality control and production tests in terms of variation of the exceedance probabilities of the Engineering Demand Parameters (EDPs) which are most relevant for the seismic performance. A preliminary study is carried out to relate the variability of the constitutive damper characteristics to the tolerance limit allowed in tests and to evaluate the consequences on the device's dissipation properties. In the subsequent part of the study, the sensitivity of the dynamic response is analysed by harmonic analysis. Finally, the seismic response sensitivity is studied by evaluating the influence of the allowed variability of the constitutive damper characteristics on the response hazard curves, providing the exceedance probability per year of EDPs. A set of linear elastic systems with different dynamic properties, equipped with linear and nonlinear dampers, are considered in the analyses, and Subset Simulation (SS) is employed together with the Markov Chain Monte Carlo method to achieve a confident estimate of small exceedance probabilities.

Seismic risk sensitivity of structures equipped with anti-seismic devices with uncertain properties

“…However, such assumption (variability on c only) is not justified in either of these two seismic codes, and furthermore, in ASCE/SEI 41-13 [12] (Section C14.3.2.4) it is explicitly written that: "The authors recognize that much of the data needed to rationally develop the required individual factors for energy dissipation devices do not exist at the time of writing". In light of the aforementioned gap in the regulatory framework, and given the scarce literature available on this topic [2,39], the application proposed in this paper aims at investigating the influence of the variability of the viscous damper properties, including that of , on the seismic risk. The application proposed below can be viewed as an extension of the work carried out in Dall'Asta et al (2017) [2] to the case of real structures equipped with multiple devices.…”

“…The evaluation of the seismic reliability of a structural system requires the characterization of the uncertainty in the seismic input as well as in the structure geometrical and mechanical properties, and the propagation of these uncertainties to assess the structural failure probability, typically expressed as the probability of exceeding specified levels of the monitored response parameters [1,2]. While the seismic input uncertainty generally significantly influences the seismic risk [3][4][5][6], the effect of the structural properties must be evaluated on a case-by-case basis [3,[7][8][9].…”

“…However, no prescriptions or limits are imposed on the viscous constitutive parameters, whose admissible (i.e., complying with the tolerance provided on the force response) ranges of variability are unknown. Very few studies have been carried out thus far on this topic [2,39], and the applications proposed in this work contribute to fill the gap in the technical literature on the effects of the uncertainty of nonlinear fluid viscous damper properties on the seismic performance of structures. The paper is organized as follows.…”

Stochastic Seismic Analysis and Comparison of Alternative External Dissipative Systems

“…This type of damping configuration has been extensively studied in the last decades both experimentally and numerically, with a significant number of works focusing on design criteria and performance assessment [3][4][5][6][7][8][9][10][11]. However, the use of dampers within building frames presents some disadvantages, especially when employed for the retrofit of existing buildings.…”

Reliability-based optimal design of nonlinear viscous dampers for the seismic protection of structural systems

“…The work of Lavan and Avishur (2013) analyzed the influence of the uncertainties concerning model parameters on the seismic performance. Dall'Asta et al (2017) studied the specific effects of the damper property variability by linking the tolerance allowed in quality control tests and production tests to the relevant variability of the risk of exceedance of the most interesting parameters controlling the seismic performance. Despite the importance of a probabilistic approach for the performance evaluation, only few methodologies have been developed so far (Marano et al 2007;Taflanidis 2010;) that can be employed to control the risk of failure in buildings equipped with dampers, or the costs associated to it (Taflanidis and Beck 2009;Gidaris and Taflanidis 2015).…”