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Structural Research Series 449PDF


Title:Approximate Modal Analysis of Bilinear MDF Systems Subjected to Earthquake Motions
Author(s):Tansirikongkol, V.; Pecknold, D.A.
Subject(s):earthquake motions
Nonlinear dynamic analysis
modal analysis
Abstract:The study investigated two approximate methods of modal analysis for hysteretic multi-degree-of-freedom lumped mass structural models subjected to earthquakes. The methods were (1) approximate modal analysis using elastic response spectra, and (2) approximate modal analysis using inelastic response spectra. Both modal analysis procedures were iterative and used a perturbation method to successively modify the original elastic mode shapes at each iterative step to reflect yielding in the system. The procedures were developed and evaluated only for shear beam structural systems consisting of members with bilinear hysteresis. Extensive comparisons of exact and approximate responses were made for various 1-, 3- and 10-degree-of-freedom systems. Four existing earthquakes were used, and several structural stiffness and strength parameters were varied. Maximum story displacements were generally predicted within about 5-40 percent accuracy. The equivalent nonlinear approach using inelastic response spectra appeared to give generally better accuracy than the equivalent linear approach using elastic response spectra.
Issue Date:1978-08
Publisher:University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.
Series/Report:Civil Engineering Studies SRS-449
Genre:Technical Report
Sponsor:National Science Foundation Grant ENV 75-08456
National Science Foundation Grant ENV 77-07190
Date Available in IDEALS:2009-10-08
Identifier in Online Catalog:355888

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