Design of an optimal tuned mass damper for a system with parametric uncertainty |
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Authors: | Claudia Patricia Moreno Peter Thomson |
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Institution: | 1.Grupo de Investigación en Ingeniería Sísmica, Ingeniería Eólica y Estructuras Inteligentes (G-7),Universidad del Valle,Cali,Colombia |
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Abstract: | Structural control is becoming an attractive alternative for enhanced performance of civil engineering structures subject
to seismic and wind loads. However, in order to guarantee stability and performance of structures when implemented with a
passive or active control technique, there is a need to include information of uncertainty in the structural models due to
the fact that civil engineering structures are time variant and nonlinear. These variations in the structure are often due
to parameters such as variable live loads and inelastic behavior and, in cases, may be modeled as parametric uncertainty.
The design of an optimal tuned mass damper (TMD) for a one degree-of-freedom (SDOF) system with parametric uncertainty is
presented in this paper. The optimization of the connection between the absorber and the primary structure is cast as a constant
feedback problem which is solved using structured singular value, μ, synthesis with D-K iteration and decentralized H
∞ design. Results are presented of the TMD that minimize the harmonic response of the primary structure represented by a set
of systems within an uncertainty set. |
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Keywords: | |
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