Seismic design of linear passive control systems using nonsmooth H∞ synthesis
Journal
11th National Conference on Earthquake Engineering 2018, NCEE 2018: Integrating Science, Engineering, and Policy
Journal Volume
7
Pages
4600-4610
Date Issued
2018
Author(s)
Abstract
Seismic design of passive control systems is sometimes critical to structural engineers, i.e., optimization of stiffness and damping coefficient in these systems. Thus, when performing any optimization algorithms to design passive control systems, some constraints should be included in the design parameters. Therefore, this study proposes a new seismic design method for determining the design parameters of passive control systems used in a multiple degree-of-freedom structure. In this method, an active control algorithm, namely the nonsmooth H ∞ synthesis algorithm, is employed to design the passive control parameters, such as multiple linearly viscous dampers in a building, a seismic isolation system at the base of a building, or multiple tuned mass dampers in a building. A feasible range of stiffness and damping coefficients are first given in this algorithm. The seismic characteristics are represented by the Kanai-Tajimi spectrum. Through this active control algorithm, the optimal parameters can be determined by minimizing the H∞ norm of responses in the objective function, which can be a combination of structural responses. Finally, effective passive control systems are designed for a specific structure. Various numerical examples are provided to exhibit control performance of passively controlled structures designed by the proposed method and are compared to the design examples illustrated in the literature. The examples considered in this study are multiple linearly viscous dampers installed in a building when the installing locations are known, a base isolation system for a building as the mass at the isolation layer is given, and multiple tuned mass dampers in a building with known locations and masses. As a result, the control effectiveness of the passive control systems designed by the proposed method is comparable or even superior to those systems designed by the method in previous studies. ? 11th National Conference on Earthquake Engineering 2018, NCEE 2018: Integrating Science, Engineering, and Policy. All rights reserved.
Subjects
Acoustic devices; Buildings; Damping; Degrees of freedom (mechanics); Engineering geology; Numerical methods; Parameter estimation; Seismic design; Seismology; Stiffness; Systems analysis; Vibration control; Base isolation systems; Multiple tuned mass dampers; Multiple-degree-of-freedom; Optimization algorithms; Passive control system; Passively controlled structures; Seismic isolation systems; Stiffness and damping coefficients; Control system synthesis
SDGs
Type
conference paper