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Online Frequency Estimation on a Building-like Structure Using a Nonlinear Flexible Dynamic Vibration Absorber

Author

Listed:
  • Francisco Beltran-Carbajal

    (Departamento de Energía, Universidad Autónoma Metropolitana, Unidad Azcapotzalco, Mexico City 02200, Mexico)

  • Hugo Francisco Abundis-Fong

    (Postgraduate Division, Tecnológico Nacional de México/I.T. Pachuca, Pachuca 42080, Mexico)

  • Luis Gerardo Trujillo-Franco

    (Área de Ingeniería Mecánica Automotriz, Universidad Politécnica de Pachuca, Zempoala 43830, Mexico)

  • Hugo Yañez-Badillo

    (Departamento de Investigación, Tecnológico de Estudios Superiores de Tianguistenco, Santiago Tianguistenco 52650, Mexico)

  • Antonio Favela-Contreras

    (Escuela de Ingenieria y Ciencias, Tecnologico de Monterrey, Av. Eugenio Garza Sada 2501, Monterrey 64849, Mexico)

  • Eduardo Campos-Mercado

    (CONACYT-UNISTMO, Santo Domingo Tehuantepec, Oaxaca 70760, Mexico)

Abstract

The online frequency estimation of forced harmonic vibrations on a building-like structure, using a nonlinear flexible vibration absorber in a cantilever beam configuration, is addressed in this article. Algebraic formulae to compute online the harmonic excitation frequency on the nonlinear vibrating mechanical system using solely available measurement signals of position, velocity, or acceleration are presented. Fast algebraic frequency estimation can, thus, be implemented to tune online a semi-active dynamic vibration absorber to obtain a high attenuation level of undesirable vibrations affecting the main mechanical system. A semi-active vibration absorber can be tuned for application where variations of the excitation frequency can be expected. Adaptive vibration absorption for forced harmonic vibration suppression for operational scenarios with variable excitation frequency can be then performed. Analytical, numerical, and experimental results to demonstrate the effectiveness and efficiency of the operating frequency estimation, as well as the acceptable attenuation level achieved by the tunable flexible vibration absorber, are presented. The algebraic parametric estimation approach can be extended to add capabilities of variable frequency vibration suppression for several configurations of dynamic vibration absorbers.

Suggested Citation

  • Francisco Beltran-Carbajal & Hugo Francisco Abundis-Fong & Luis Gerardo Trujillo-Franco & Hugo Yañez-Badillo & Antonio Favela-Contreras & Eduardo Campos-Mercado, 2022. "Online Frequency Estimation on a Building-like Structure Using a Nonlinear Flexible Dynamic Vibration Absorber," Mathematics, MDPI, vol. 10(5), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:5:p:708-:d:757220
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    References listed on IDEAS

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    1. Luis Gerardo Trujillo-Franco & Gerardo Silva-Navarro & Francisco Beltran-Carbajal, 2021. "Algebraic Parameter Identification of Nonlinear Vibrating Systems and Non Linearity Quantification Using the Hilbert Transformation," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-16, June.
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    Cited by:

    1. Yiu-Yin Lee, 2023. "Chaotic Vibration and Perforation Effects on the Sound Absorption of a Nonlinear Curved Panel Absorber," Mathematics, MDPI, vol. 11(14), pages 1-16, July.
    2. Diego Teran-Pineda & Karl Thurnhofer-Hemsi & Enrique Dominguez, 2023. "Analysis and Recognition of Human Gait Activity Based on Multimodal Sensors," Mathematics, MDPI, vol. 11(6), pages 1-17, March.
    3. Francisco Beltran-Carbajal & Juan Eduardo Esquivel-Cruz & Hugo Yañez-Badillo & Ivan de Jesus Rivas-Cambero & David Sotelo & Carlos Sotelo, 2023. "Multiple-Frequency Force Estimation of Controlled Vibrating Systems with Generalized Nonlinear Stiffness," Mathematics, MDPI, vol. 11(13), pages 1-29, June.
    4. Runhuan Sun & Li Tang & Yanjun Liu, 2022. "Boundary Controller Design for a Class of Horizontal Belt Transmission System with Boundary Vibration Constraint," Mathematics, MDPI, vol. 10(9), pages 1-19, April.

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