Minimum‐cost optimization of nonlinear fluid viscous dampers and their supporting members for seismic retrofitting

Summary This paper presents an effective approach for achieving minimum‐cost designs for seismic retrofitting using nonlinear fluid viscous dampers. The damping coefficients of the dampers and the stiffness coefficients of the supporting braces are designed by an optimization algorithm. A realistic...

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Vydáno v:Earthquake engineering & structural dynamics Ročník 46; číslo 12; s. 1941 - 1961
Hlavní autoři: Pollini, Nicolò, Lavan, Oren, Amir, Oded
Médium: Journal Article
Jazyk:angličtina
Vydáno: Bognor Regis Wiley Subscription Services, Inc 10.10.2017
Témata:
Algorithms
Coefficients
Computation
Computer applications
Continuity (mathematics)
Cost engineering
Cost function
Costs
Damping
Design
Design optimization
Earthquake dampers
energy dissipation devices
Frame structures
Interpolation
Interpolation techniques
irregular structures
material interpolation functions
Mathematical models
Mixed integer
Power law
Retrofitting
Seismic design
Seismic engineering
seismic retrofitting
Solutions
Stiffness coefficients
Topology
topology and sizing optimization
Topology optimization
Velocity
viscous dampers
Viscous damping
ISSN:0098-8847, 1096-9845
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Shrnutí:Summary This paper presents an effective approach for achieving minimum‐cost designs for seismic retrofitting using nonlinear fluid viscous dampers. The damping coefficients of the dampers and the stiffness coefficients of the supporting braces are designed by an optimization algorithm. A realistic retrofitting cost function is minimized subject to constraints on inter‐story drifts at the peripheries of frame structures. The cost function accounts for costs related to both the topology and the sizes of the dampers. The behavior of each damper‐brace element is defined by the Maxwell model, where the force–velocity relation of the nonlinear dampers is formulated with a fractional power law. The optimization problem is first posed and solved as a mixed integer problem. For the reduction of the computational effort required in the optimization, the problem is then reformulated with continuous variables only and solved with a gradient‐based algorithm. Material interpolation techniques, which have been successfully applied in topology optimization and in multi‐material optimization, play a key role in achieving practical final design solutions with a reasonable computational effort. Promising results attained for 3‐D irregular frames are presented and discussed. Copyright © 2017 John Wiley & Sons, Ltd.
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ISSN:0098-8847
1096-9845
DOI:10.1002/eqe.2888