Allocation and Sizing of Multiple Tuned Mass Dampers for Seismic Control of Irregular Structures
This chapter presents a methodology for the optimal design of multiple tuned mass dampers (TMDs) in 3D irregular buildings. The objective function minimizes the total mass of all added TMDs while constraints are added to limit the total accelerations expe
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Allocation and Sizing of Multiple Tuned Mass Dampers for Seismic Control of Irregular Structures Yael Daniel and Oren Lavan
Abstract This chapter presents a methodology for the optimal design of multiple tuned mass dampers (TMDs) in 3D irregular buildings. The objective function minimizes the total mass of all added TMDs while constraints are added to limit the total accelerations experienced at the edges of the floors in the direction parallel to each edge. The formulation of the design methodology relies on optimality criteria conjectured herein; hence, a two-stage iterative analysis/redesign procedure, that is based on analysis tools only, is resulted. The methodology applies to all types of irregularity, which allows the application of the methodology in a practical design process.
22.1 Introduction Seismic protection of structures is an important issue in structural design due to its threatening consequences. Often, it is required that the design of the structure provide even more than life safety, promising a certain level of serviceability following a severe earthquake, while allowing for a defined level of damage, i.e., performance-based design. In performance-based design, it is often desired to limit important responses such as inter-story drifts, total accelerations, residual drifts, and hysteretic energy. There is ample literature on the reduction of structural responses to earthquakes through passive control. Several passive damping devices are available, including viscous, viscoelastic, metallic, and friction dampers (see, e.g., Soong and Dargush 1997; Christopoulos and Filiatrault 2006; Takewaki 2009). For wind vibration Y. Daniel () • O. Lavan Faculty of Civil and Environmental Engineering, Technion – Israel Institute of Technology, Haifa 32000, Israel e-mail: [email protected]; [email protected] O. Lavan and M. De Stefano (eds.), Seismic Behaviour and Design of Irregular and Complex Civil Structures, Geotechnical, Geological and Earthquake Engineering 24, DOI 10.1007/978-94-007-5377-8__22, © Springer ScienceCBusiness Media Dordrecht 2013
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control of tall buildings, tuned mass dampers (TMDs) are often effectively used (e.g., McNamara 1977). Details about TMDs and their applications may be found in the fine works of Den-Hartog (1940), Warburton (1982), and Soong and Dargush (1997), only to name a few. As wind response of buildings is kept within the linear range and is usually dominated by a single mode, TMDs indeed provide a very efficient solution. Seismic action, on the other hand, may cause yielding of the structure, which can jeopardize the action of TMDs due to their detuning. In addition, in seismic vibrations, no single distinct frequency dominates the behavior, but rather many frequencies, including the ones of higher modes. Those two obstacles have led many researchers to be hesitant in using TMDs for seismic structural applications (e.g., Kaynia et al. 1981; Sladek and Klingner 1983). Nonetheless, provided those obstacles are overcome, TM
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