Optimal Design of Local Resonators for the Control of Flexotorsional Vibrations in Tall Buildings Subjected to Seismic Actions: Locally Resonant Building Resonators
DOI:
https://doi.org/10.70567/mc.v42.ocsid8490Keywords:
asymmetric tall buildings, vibration attenuation, locally resonant beams, optimizationAbstract
This work presents an approach for the optimal design of a system of resonators, distributed along the height, aimed at controlling lateral vibrations in asymmetric-plan buildings subjected to seismic loading. The structural model of the building with distributed resonators is based on a generalization of Vlasov’s theory. A reduced-order model of the system is obtained from the modal analysis of the building without resonators. Using this simplified model, the complex response function is determined under a unit-amplitude harmonic base acceleration. This allows evaluation of the mean square displacement response, given the power spectral density of the design earthquake. The optimal parameters of the resonator system are identified to minimize this response indicator. The formulation is presented along with numerical examples illustrating the proposed methodology.
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