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Design of controlled elastic and inelastic structures

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Abstract

One of the founders of structural control theory and its application in civil engineering, Professor Emeritus Tsu T. Soong, envisioned the development of the integral design of structures protected by active control devices. Most of his disciples and colleagues continuously attempted to develop procedures to achieve such integral control. In his recent papers published jointly with some of the authors of this paper, Professor Soong developed design procedures for the entire structure using a design — redesign procedure applied to elastic systems. Such a procedure was developed as an extension of other work by his disciples. This paper summarizes some recent techniques that use traditional active control algorithms to derive the most suitable (optimal, stable) control force, which could then be implemented with a combination of active, passive and semi-active devices through a simple match or more sophisticated optimal procedures. Alternative design can address the behavior of structures using Liapunov stability criteria. This paper shows a unified procedure which can be applied to both elastic and inelastic structures. Although the implementation does not always preserve the optimal criteria, it is shown that the solutions are effective and practical for design of supplemental damping, stiffness enhancement or softening, and strengthening or weakening.

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Correspondence to A. M. Reinhorn.

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Reinhorn, A.M., Lavan, O. & Cimellaro, G.P. Design of controlled elastic and inelastic structures. Earthq. Eng. Eng. Vib. 8, 469–479 (2009). https://doi.org/10.1007/s11803-009-9126-0

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  • DOI: https://doi.org/10.1007/s11803-009-9126-0

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