Chapter
Apr 4, 2017
Topology and Sizing Optimization of Nonlinear Viscous Dampers for the Minimum-Cost Seismic Retrofitting of 3-D Frame Structures
Authors: Nicolò Pollini [email protected], Oren Lavan [email protected], and Oded Amir [email protected]Author Affiliations
Publication: Structures Congress 2017
Abstract
In this paper, we present a new methodology for achieving minimum-cost retrofitting design solutions. Nonlinear fluid viscous dampers and their supporting braces are optimally distributed in irregular 3-D frames and optimally sized. For generating optimal design solutions useful for practitioners, a realistic cost formulation is chosen as the objective function to be minimized. Constraints are imposed on inter-story drifts at the peripheries. These are evaluated with nonlinear time-history analyses considering realistic ground acceleration records. The behavior of each damper-brace system is defined based on the Maxwell’s model for viscoelasticity. A fractional power-law is used to describe the nonlinear force-velocity relation of each damper. The stiffening contribution of the supporting brace and of the damper is represented by linear springs. The damper-brace elements are divided into size-groups, that is, elements with the same mechanical properties. The properties of each size-group of dampers (damping coefficient and supporting brace stiffness), and the dampers’ distribution in the structure are optimally defined. The optimization problem is first posed and solved as a mixed-integer problem. To reduce the computational effort required in the optimization, the problem is then re-formulated with continuous variables only and solved with a gradient-based algorithm. Material interpolation techniques play a key role in achieving practical final design solutions with a reasonable computational effort. Promising results attained for a 3-D irregular frame are presented and discussed.
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© 2017 American Society of Civil Engineers.
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Published online: Apr 4, 2017
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Ph.D. Candidate, Faculty of Civil and Environmental Engineering, Technion – Israel Institute of Technology, Haifa 32000, Israel. E-mail: [email protected]
Associate Professor, Faculty of Civil and Environmental Engineering, Technion – Israel Institute of Technology, Haifa 32000, Israel. E-mail: [email protected]
Assistant Professor, Faculty of Civil and Environmental Engineering, Technion – Israel Institute of Technology, Haifa 32000, Israel. E-mail: [email protected]
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