Generalized Response Spectrum Analysis for Structures with Dampers. Issue 3 (August 2018)

• Record Type: Journal Article
• Authors: Terazawa, Yuki; Takeuchi, Toru
• Is Part Of: Earthquake spectra. Volume 34:Issue 3(2018)
• Page Start: 1459
• Page End: 1479
• Publication Date: 2018-08
• Subjects: Earthquake engineering -- Periodicals; Earthquake engineering; Periodicals; 624.1762
• DOI: 10.1193/092217EQS188M
• Languages: English
• ISSNs: 8755-2930

Abstract

In this study, a computational seismic design routine is proposed based on a generalized response spectrum analysis for highly indeterminate structures with energy-dissipation members, such as viscous or elasto-plastic dampers. Complex stiffness terms are introduced to account for displacement-dependent damping, and a three-dimensional (3-D) element stiffness matrix with complex axial stiffness is proposed for elasto-plastic dampers. A modified complete quadratic combination method previously developed for real symmetric damped systems is extended to complex asymmetric damped systems, based on a theoretical analysis of eigenvalue equations. The response is evaluated by iteratively conducting complex eigenvalue analysis and modal combination. The accuracy is confirmed through comparison to nonlinear response history analysis of 2-D frame models. Finally, an example application is presented of a 3-D truss tower seismically retrofitted by replacing the braces with viscoelastic and then elasto-plastic dampers. The proposed design routine is used to rapidly identify novel and efficient damper arrangements and sizing distributions, avoiding computationally intensive nonlinear response history analysis.