Progressive Incremental Dynamic Analysis for First-Mode Dominated Structures

Abstract

Incremental dynamic analysis (IDA) is a widely-used method for assessing structural performance under earthquake excitations. It enables direct evaluation of the record-to-record variability in structural response through a set of ground motion records. If the number of ground motion records is large then, the method becomes computationally demanding. To facilitate its practical application, a precedence list of ground motion records has been introduced, aiming at selecting the most representative ground motion records for IDA analysis. In progressive IDA analysis the IDA curves are computed progressively, starting from the first ground motion record in the precedence list. After an acceptable tolerance has been achieved, the analysis is terminated. This approach may significantly reduce the computational effort for first-mode dominated structures, since the seismic response can be computed only for a certain number of ground motion records from the precedence list in order to achieve an acceptable level of confidence in the prediction of the summarized (16 th, 50 th and 84 th fractiles) IDA curves. The proposed implementation of incremental dynamic analysis, which is demonstrated using an example of a four-storey reinforced concrete frame, can also be used for the selection of ground motion records from a very large set of records, provided that all the records properly represent the seismic scenario for a given site.

Pushover-Based Analysis in Performance-Based Seismic Engineering – A View from Europe

“…Pushover analysis in conjunction with the nonlinear dynamic analysis of an equivalent single-degree-of-freedom model can be used in order to select the most representative ground motion records (Azarbakht andDolšek 2007, 2011).…”

An overview of modern seismic analyses with different ways of damping introduction

“…Neizvesnosti zavisne od modela konstrukcije određuju se primenom Latin Hypercube Sampling (LHS) metode. PIDA je razvijena kako bi se skratilo vreme potrebno za sprovođenje obimnih IDA, a da se zadrži nivo kvaliteta rešenja [9]. Takođe, slično PIDA, razvijene su MIDA i SIDA, s tim što se prvom analizom može razmatrati nelinearan odgovor sistema za različite uglove dejstva zemljotresa [37], a drugom analizom se stohastičkim modelovanjem, između ostalog, primenom Point Estimation Method (PEM) dobija rešenje u domenu kapaciteta [53].…”

“…Epistemic uncertainty is determined by implementing Latin Hypercube Sampling (LHS) method. PIDA was developed with an aim of shortening the time necessary for performing of extensive IDA, while retaining the quality level of the solution [9]. Also, similar to PIDA, MIDA and SIDA were developed, whereby the former analysis can analyze a nonlinear system response for different angles of earthquake actions [37], and the latter analysis, through stochastic modelling inter alia, by implementing Point Estimation Method (PEM) a solution in capacitive domain is obtained [53].…”

Risk-Based Design Check for Collapse Safety Using Few Ground Motions

“…In addition, different procedures were proposed aiming to reduce the computational time needed to obtain seismic demand by nonlinear dynamic analysis, e.g. [10,11]. Eads et al [12] developed a practice-oriented procedure for seismic collapse risk estimation, where lognormally distributed collapse fragility function is determined by nonlinear dynamic analyses at two carefully selected intensities.…”