Abstract
The control strategy for protecting adjacent structures from earthquake excitations is gaining increasing significance. In this study, to improve the seismic performance, a semiactive control strategy using magnetorheological (MR) dampers to couple the adjacent structures is proposed. In this control strategy, to fully exploit the performance of MR dampers, the allocation (including the locations and the number) and fuzzy logic controller (FLC) system of MR dampers are simultaneously optimally designed by whale optimization algorithm (WOA) with a special encoding scheme. Simulation results verify that WOA provides competitive performance compared with the other three metaheuristic algorithms in terms of solution quality and robustness. Compared with other semiactive control methods including on-off, linear quadratic regulator-clipped voltage law, and WOA-FLC (optimal allocation is not considered) methods, by using much less MR dampers, the proposed control strategy can exhibit more excellent overall performance in terms of reducing the seismic responses and mitigating pounding.
Highlights
The parameters of the fuzzy control system that must be correctly pre-etermined for the system to function properly are difficult to be selected, as they highly depend on expert experience
Lin et al [12] proposed a modified crow search algorithm (CSA) to optimize the fuzzy logic controller (FLC) parameters for the MR dampers with the consideration of soil-structure interaction. e results validated the effectiveness of this optimal FLC
Ebrahimgol et al [25] proposed the application of whale optimization algorithm (WOA) in the exergy optimization of a nuclear power plant. e results proved that the overall thermal efficiency of the Bushehr nuclear power plant was increased from 33.66% to 36.42% by using WOA, and this algorithm outperformed GA and particle swarm optimization (PSO) in terms of local optima avoidance and convergence
Summary
Mi,, ki,2, and ci, denote the mass, stiffness, and damping, respectively, of the i-th floor of Building 2. E governing motion equation for the MR damper-coupled adjacent buildings can be expressed as follows: MX€ (t) + CX_ (t) + KX(t) ΛX€ g(t) + ΓF(t), (1). In equation (1), M, C, and K are mass, damping, and stiffness matrices of the coupled system, respectively, which are expressed as follows:. M1, C1, and K1 are mass, damping, and stiffness matrices of Building 1, respectively, which are calculated by the following equations. If X€a(t) denotes the absolute acceleration (called the acceleration in short ) of the coupled system, the output of the system Y(t) [X(t)T, X_ (t)T, X€a(t)T]T can be re-expressed by. As for the above-mentioned adjacent building system, by using this model, the equation governing the damping force is expressed as follows:. Where c, β, and A are shape parameters of the hysteresis loop
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