Oscillation Attenuation in a Building-like Structure by Using a Flexible Vibration Absorber

Luis Gerardo Trujillo-Franco, Nestor Flores-Morita, Hugo Francisco Abundis-Fong, Francisco Beltran-Carbajal, Alejandro Enrique Dzul-Lopez and Daniel Eduardo Rivera-Arreola
Additional contact information
Luis Gerardo Trujillo-Franco: Área de Ingeniería Mecánica Automotriz, Universidad Politécnica de Pachuca, Zempoala 43830, Mexico
Nestor Flores-Morita: Tecnológico Nacional de México/I.T. Pachuca, Pachuca 42080, Mexico
Hugo Francisco Abundis-Fong: Tecnológico Nacional de México/I.T. Pachuca, Pachuca 42080, Mexico
Francisco Beltran-Carbajal: Departamento de Energía, Universidad Autónoma Metropolitana, Unidad Azcapotzalco, Ciudad de México 02200, Mexico
Alejandro Enrique Dzul-Lopez: Tecnológico Nacional de México/I.T. La Laguna, Torreón 27000, Mexico
Daniel Eduardo Rivera-Arreola: Área de Ingeniería Mecánica Automotriz, Universidad Politécnica de Pachuca, Zempoala 43830, Mexico

Mathematics, 2022, vol. 10, issue 3, 1-18

Abstract: This is a theoretical, numerical, and experimental study on the vibration attenuation capability of the dynamic response of a building-like structure using a dynamic vibration absorber in cantilever flexible beam configuration, taking into account gravitational effects associated with its mass. The dynamic model of the primary vibrating structure with the passive vibration control device is obtained using the Euler–Lagrange formulation considering the flexible vibration absorber as a generalized system of one degree of freedom. The application of the Hilbert transform to the frequency response function to determine the tuning conditions between this nonlinear flexible beam vibration absorber and the primary system is also proposed. In this fashion, Hilbert transform analysis is then carried out to show that nonlinearities present in the dynamic model do not significantly contribute to the performance of the implemented absorber. Therefore, it is valid to linearize the equations of motion to obtain the tuning condition in which the flexible vibration absorber can attenuate undesirable harmonic vibrations that are disturbing to the building-like flexible structure. Thus, the present study shows that the Hilbert transform can be applied to obtain tuning conditions for other configurations of dynamic vibration absorbers in nonlinear vibrating systems. Simulation and experimental results are included to demonstrate the efficient performance of the presented vibration absorption scheme.

Keywords: dynamic vibration absorber; passive vibration control; Hilbert transform; cantilever beam configuration (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/3/289/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/3/289/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:3:p:289-:d:727299

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().