A rotating actuator in the active mass damper (AMD) system for bidirectional wind response control of 76-story benchmark building is proposed in this paper. The AMD designed is able to control the structural vibration in both x and y directions simultaneously. With the introduction of rotational movement and external excitations, nonlinearity is considered in the system. The mathematical model of the nonlinear building-AMD system is derived through dividing the whole system into a linear subsystem and a nonlinear system. To suppress the wind-excited response, a decoupled sliding mode controller is designed based on Lyapunov stability theory. Simulations are conducted to prove the effectiveness of the control algorithm and the reliability of the control device. KEYWORDS 76-story benchmark, active mass damper, bidirectional wind response control, decoupled sliding mode control, Lagrange equations, rotating actuator
| INTRODUCTIONDue to the rapid growth of urban population, urban living space has become increasingly strained, which results in the appearance of high-rise buildings, such as the Shanghai Tower (632 m), the Taipei 101 Tower (508 m), and the Burj Khalifa Tower (828 m). Because of larger height-to-width ratio, these high-rise structures endure larger wind-induced response than other buildings. From the view of ensuring structural safety and occupant comfort, the control of structural vibration of high-rise buildings under wind excitation is very important. [1][2][3] During last several decades, significant progress has been made in passive, active, semiactive, and hybrid control of structures against natural hazards, such as earthquakes and winds. 4-7 For seismic-induced vibration mitigation, Spencer et al. 8,9 developed the benchmark problem of active mass damper and active tendon system to evaluate the relative effectiveness and implementability of various structural control algorithms. Beside the linear benchmark structure, vibration mitigation of nonlinear benchmark structures under earthquake excitation using active mass damper were investigated by Li et al. with fuzzy logic control algorithm 10 and adaptive fuzzy sliding mode control (SMC) algorithm. 11 As for mitigation of wind-induced vibration of engineering structures, many approaches have been explored. Ankireddi and Yang 12 proposed a complete feedback controller for a 162-m tall planar frame and a 400-m tall building. Wu and Yang 13,14 studied the wind-induced vibration control of Nanjing TV transmission tower. However, the comparison of efficiency and efficacy of these control strategies cannot be realized because the structures studied were different. This obstacle persisted until Yang et al. 15 proposed the wind-excited benchmark problem with 76-story building subject to specified wind loads. The building considered in the benchmark problem is a 76-story 306-m office tower designed for the city of Melbourne, Australia. It is a reinforced concrete building consisting of a concrete core and concrete frame.