Approximate Modal Analysis of Bilinear MDF Systems

by Visit Tansirikongkol, Assoc. Engr.; URS/John A. Blume and Assocs., San Francisco, Calif.,
David A. Pecknold, (M.ASCE), Prof.; Dept. of Civ. Engrg., Univ. of Illinois at Urbana-Champaign, Urbana, Ill.,

Serial Information: Journal of the Engineering Mechanics Division, 1980, Vol. 106, Issue 2, Pg. 361-375

Document Type: Journal Paper


This paper describes two approximate response spectrum/modal analysis methods for dynamic response of hysteretic multi-degree-of-freedon lumped mass structural models subjected to earthquakes. The methods utilize either: (1)Elastic response spectra; or (2)inelastic response spectra. Both procedures are iterative and recognize changes in mode shapes as a function of inelastic deformation in the structural mumbers. Comparison of exact and approximate responses are made for 3 degree-of-freedom and 10 degree-of-freedom shear beam structures with bilinear hysteresis. Input excitation and several structural stiffness and strength parameters are varied.

Subject Headings: Modal analysis | Response spectra | Degrees of freedom | Structural strength | Dynamic structural analysis | Structural dynamics | Dynamic response | Dynamic analysis

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