THE INCREMENTAL DYNAMIC ANALYSIS AND ITS APPLICATION TO PERFORMANCE-BASED EARTHQUAKE ENGINEERING

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THE INCREMENTAL DYNAMIC ANALYSIS AND ITS APPLICATION TO PERFORMANCE-BASED EARTHQUAKE ENGINEERING

Dimitrios Vamvatsikos1 and C. Allin Cornell2

1Graduate Student, Department of Civil and Environmental

Engineering, Stanford University, CA 94305-4020

2Professor, Department of Civil and Environmental Engineering,

Stanford University, CA 94305-4020

ABSTRACT

Incremental Dynamic Analysis (IDA) is an emerging analysis method that offers thorough seismic

demand and capacity prediction capability by using a series of nonlinear dynamic analyses

under a multiply scaled suite of ground motion records. Realization of its opportunities requires

several innovations, such as choosing suitable ground motion Intensity Measures (IMs)

and representative Damage Measures (DMs). In addition, proper interpolation and summarization

techniques for multiple records need to be employed, providing the means for estimating

the probability distribution of the structural demand given the seismic intensity. Limit-states,

such as the dynamic global system instability, can be naturally defined in the context of IDA,

thus allowing annual rates of exceedance to be calculated. Finally, the data gathered through

IDA can provide intuition for the behavior of structures and shed new light on the connection

between the Static Pushover (SPO) and the dynamic response. To illustrate all the above

concepts, a complete walkthrough of the methodology is presented by using a 9-storey steel

moment-resisting frame with fracturing connections as an example to explain and clarify the

application of the IDA to Performance-Based Earthquake Engineering (PBEE).

Keywords: performance-based earthquake engineering, incremental dynamic analysis, demand,

collapse capacity, limit-state, nonlinear dynamic analysis, static pushover

 

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