Abstract
The aim of this paper is to investigate the effects of hysteresis and negative stiffness on seismic response reduction. For this reason, the novel Hysteretic Nonlinear Energy Sink (HNES) is used as a passive vibration control device for seismic response mitigation. So far, HNES performance has been tested in shock mitigation and has proved to exhibit exceptional robustness and energy dissipation merits. Apart from a small mass and a nonlinear elastic spring of the Duffing oscillator (type-I NES), HNES is also comprised of a purely hysteretic and a linear elastic spring of potentially negative stiffness, connected in parallel. The Bouc-Wen model is used to describe the force produced by both the purely hysteretic and linear elastic springs. In this investigation, the response reduction of a primary two-degree-of-freedom model of a shear building is studied against a strong ground motion which is based on the 1999 Athens, Greece earthquake. The response reduction is achieved by using three optimized passive vibration control devices, i.e. an HNES, a type-I NES, and a traditional Tuned Mass Damper (TMD). The optimum configuration of each device is determined using Differential Evolution, a robust metaheuristic algorithm, using the maximum absolute displacement of the top floor as the objective function. Example problems are presented in order to assert that HNES behavior is vastly superior over both NES and TMD. Furthermore, the key advantage of HNES is its inherent insensitivity to drastic changes in the structural characteristics. In particular, it maintains a significant level of performance even if the column stiffness is reduced by half.
Highlights
The concept of passive vibration control by means of a mass damper was proposed by Watts as early as 1883 (Watts, 1883) and patented by Frahm (1909), who used the term “dynamic vibration absorber”
Hysteresis and Negative Stiffness on Seismic Response tuned properly, a large amount of the structural vibrating energy is transferred from the primary system to the Tuned Mass Damper (TMD) and dissipated by damping
Where, Px,g is an array of P vectors; xi,g is a NDdimensional vector representing a candidate solution; gmax is the maximum number of generations; i is an index for vectors, g is an index for generations, j is an index for design variables; and the parentheses indicate an array
Summary
The concept of passive vibration control by means of a mass damper was proposed by Watts as early as 1883 (Watts, 1883) and patented by Frahm (1909), who used the term “dynamic vibration absorber”. A classical engineering device implementing this concept is the Tuned Mass Damper (TMD), which is attached to a primary vibrating system in order to suppress undesirable vibrations. Hysteresis and Negative Stiffness on Seismic Response tuned properly, a large amount of the structural vibrating energy is transferred from the primary system to the TMD and dissipated by damping. Apart from buildings, recent studies include the use of TMDs for vibration absorption in seismic or other forms of excitation of bridge structures (Debnath et al, 2016)
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