Abstract
Parameter optimization analysis on the negative stiffness device (NSD) installed in the benchmark highway bridge is carried out in this study. Key parameters and constrain conditions are determined in accordance with the characteristics of NSD, and an objective function is designed with safety and comfort being considered. Individual fitness value–related cross and mutation operators are designed to protect excellent chromosome and improve the efficiency and convergence of computation. The genetic algorithm is used to realize parameter optimization of the NSD used in a benchmark highway bridge. Dynamic responses of structure without NSD, with random NSD, and with optimal designed NSD are compared. By analyzing the time history of displacement and acceleration, it can be concluded that dynamic responses of the structure decrease obviously when the NSD is added, and a better seismic reduction effect can be reached when the NSD is designed optimally in accordance with the optimization method and different earthquake excitations have slight influence on the optimization results.
Highlights
The conventional way to reduce the structural deformation and internal shear force under severe ground motions is to design the structure with high stiffness
Since the negative force of the negative stiffness device (NSD) is controlled by amplitude A and frequency ω, they are set as the optimization parameters [12]
Parametric optimization analysis on the NSD added in the benchmark highway bridge is carried out
Summary
The conventional way to reduce the structural deformation and internal shear force under severe ground motions is to design the structure with high stiffness. According to the mechanical model of the device [11], the key parameters that affect the mechanical property of the NSD device are: 1) stiffness of the compressed spring k, 2) compression length of the spring, and 3) the curve function of the template f(x). The curve function of the original NSD is given by the following equation (the length unit is meter):. Since the negative force of the NSD is controlled by amplitude A and frequency ω, they are set as the optimization parameters [12]. The device will not generate negative stiffness force when the displacement is within this range, so that the controlled structure will maintain the original stiffness when the displacement is small and avoid the amplification of small excitation disturbance. The length of flat gap only needs to be selected properly to achieve the design purpose, so the original value remains unchanged
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