Journal
EARTHQUAKE ENGINEERING & STRUCTURAL DYNAMICS
Volume 42, Issue 11, Pages 1657-1676Publisher
WILEY
DOI: 10.1002/eqe.2292
Keywords
optimal damper placement; aseismic design; transfer function; structural control; mixed-integer programming; global optimization
Categories
Funding
- Global COE Program 'The Research and Training Center for New Development in Mathematics'
- JSPS
- [23560663]
- Grants-in-Aid for Scientific Research [23560663] Funding Source: KAKEN
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Supplemental damping is known as an efficient and practical means to improve seismic response of building structures. Presented in this paper is a mixed-integer programming approach to find the optimal placement of supplemental dampers in a given shear building model. The damping coefficients of dampers are treated as discrete design variables. It is shown that a minimization problem of the sum of the transfer function amplitudes of the interstory drifts can be formulated as a mixed-integer second-order cone programming problem. The global optimal solution of the optimization problem is then found by using a solver based on a branch-and-cut algorithm. Two numerical examples in literature are solved with discrete design variables. In one of these examples, the proposed method finds a better solution than an existing method in literature developed for the continuous optimal damper placement problem. Copyright (c) 2013 John Wiley & Sons, Ltd.
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