Online Estimation Techniques for Natural and Excitation Frequencies on MDOF Vibrating Mechanical Systems
An online algebraic estimation technique for natural and forcing frequencies for a class of uncertain and lumped-parameter vibrating mechanical systems with <i>n</i> degrees of freedom is described. In general, realistic vibrating systems can be affected by unknown exogenous excitation f...
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| Format: | Article |
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MDPI AG
2021-02-01
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| Series: | Actuators |
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| Online Access: | https://www.mdpi.com/2076-0825/10/3/41 |
| _version_ | 1797395502837268480 |
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| author | Gerardo Silva-Navarro Francisco Beltran-Carbajal Luis Gerardo Trujillo-Franco Juan Fernando Peza-Solis Oscar A. Garcia-Perez |
| author_facet | Gerardo Silva-Navarro Francisco Beltran-Carbajal Luis Gerardo Trujillo-Franco Juan Fernando Peza-Solis Oscar A. Garcia-Perez |
| author_sort | Gerardo Silva-Navarro |
| collection | DOAJ |
| description | An online algebraic estimation technique for natural and forcing frequencies for a class of uncertain and lumped-parameter vibrating mechanical systems with <i>n</i> degrees of freedom is described. In general, realistic vibrating systems can be affected by unknown exogenous excitation forces with multiple and independent frequency harmonic components. Hence, natural frequencies as well as excitation force frequencies can be simultaneously computed from an algebraic approach into a small interval of time during online operation of the mechanical system. Measurements of an available output signal, associated with some specific degree of freedom, are only required for frequency estimation in time-domain. Information on mass, stiffness and damping matrices are not necessary for multifrequency estimation algorithms. Some analytical, numerical and experimental results on a cantilever Euler–Bernoulli beam are described to show and validate the acceptable estimation of multiple frequencies in forced multiple degrees of freedom vibrating systems. |
| first_indexed | 2024-03-09T00:35:26Z |
| format | Article |
| id | doaj.art-5df6e250edf748e8b6a7cfe3ea0f9c35 |
| institution | Directory Open Access Journal |
| issn | 2076-0825 |
| language | English |
| last_indexed | 2024-03-09T00:35:26Z |
| publishDate | 2021-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Actuators |
| spelling | doaj.art-5df6e250edf748e8b6a7cfe3ea0f9c352023-12-11T18:11:30ZengMDPI AGActuators2076-08252021-02-011034110.3390/act10030041Online Estimation Techniques for Natural and Excitation Frequencies on MDOF Vibrating Mechanical SystemsGerardo Silva-Navarro0Francisco Beltran-Carbajal1Luis Gerardo Trujillo-Franco2Juan Fernando Peza-Solis3Oscar A. Garcia-Perez4Centro de Investigación y de Estudios Avanzados del I.P.N., Departamento de Ingeniería Eléctrica, Sección de Mecatrónica, Av. IPN No. 2508, Col. S.P. Zacatenco, Mexico City 07360, MexicoDepartamento de Energía, Universidad Autónoma Metropolitana, Unidad Azcapotzalco, Av. San Pablo No. 180, Col. Reynosa Tamaulipas, Mexico City 02200, MexicoÁrea de Ingeniería Mecánica Automotriz, Universidad Politécnica de Pachuca, Carretera Pachuca-Cd. Sahagún, Km 20 Ex-Hacienda de Santa Bárbara, Zempoala Hidalgo 43830, MexicoInstituto Politécnico Nacional, Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Av. IPN No. 2580, Col. Barrio La Laguna Ticomán, Mexico City 07340, MexicoUniversidad Aeronáutica en Querétaro, Carretera Estatal 200 Querétaro–Tequisquiapan No. 22154. Col. Parque Aeroespacial de Querétaro, Querétaro 76278, MexicoAn online algebraic estimation technique for natural and forcing frequencies for a class of uncertain and lumped-parameter vibrating mechanical systems with <i>n</i> degrees of freedom is described. In general, realistic vibrating systems can be affected by unknown exogenous excitation forces with multiple and independent frequency harmonic components. Hence, natural frequencies as well as excitation force frequencies can be simultaneously computed from an algebraic approach into a small interval of time during online operation of the mechanical system. Measurements of an available output signal, associated with some specific degree of freedom, are only required for frequency estimation in time-domain. Information on mass, stiffness and damping matrices are not necessary for multifrequency estimation algorithms. Some analytical, numerical and experimental results on a cantilever Euler–Bernoulli beam are described to show and validate the acceptable estimation of multiple frequencies in forced multiple degrees of freedom vibrating systems.https://www.mdpi.com/2076-0825/10/3/41vibration engineeringMDOF vibrating systemsfrequency estimationonline parameter estimation |
| spellingShingle | Gerardo Silva-Navarro Francisco Beltran-Carbajal Luis Gerardo Trujillo-Franco Juan Fernando Peza-Solis Oscar A. Garcia-Perez Online Estimation Techniques for Natural and Excitation Frequencies on MDOF Vibrating Mechanical Systems Actuators vibration engineering MDOF vibrating systems frequency estimation online parameter estimation |
| title | Online Estimation Techniques for Natural and Excitation Frequencies on MDOF Vibrating Mechanical Systems |
| title_full | Online Estimation Techniques for Natural and Excitation Frequencies on MDOF Vibrating Mechanical Systems |
| title_fullStr | Online Estimation Techniques for Natural and Excitation Frequencies on MDOF Vibrating Mechanical Systems |
| title_full_unstemmed | Online Estimation Techniques for Natural and Excitation Frequencies on MDOF Vibrating Mechanical Systems |
| title_short | Online Estimation Techniques for Natural and Excitation Frequencies on MDOF Vibrating Mechanical Systems |
| title_sort | online estimation techniques for natural and excitation frequencies on mdof vibrating mechanical systems |
| topic | vibration engineering MDOF vibrating systems frequency estimation online parameter estimation |
| url | https://www.mdpi.com/2076-0825/10/3/41 |
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