Global Admittance: A New Modeling Approach to Dynamic Performance Analysis of Dynamic Vibration Absorbers
The vibration control in structural design has long been a critical area of study, particularly in mitigating undesirable resonant vibrations using dynamic vibration absorbers (DVAs). Traditional approaches to tuning DVAs have relied on complex mathematical models based on Newtonian or Euler–Lagrang...
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| Format: | Article |
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MDPI AG
2025-04-01
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| Series: | Vibration |
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| Online Access: | https://www.mdpi.com/2571-631X/8/2/19 |
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| author | Cuauhtémoc Mazón-Valadez Eduardo Barredo Jorge Colín-Ocampo Javier A. Pérez-Molina Demetrio Pérez-Vigueras Ernesto E. Mazón-Valadez Agustín Barrera-Sánchez |
| author_facet | Cuauhtémoc Mazón-Valadez Eduardo Barredo Jorge Colín-Ocampo Javier A. Pérez-Molina Demetrio Pérez-Vigueras Ernesto E. Mazón-Valadez Agustín Barrera-Sánchez |
| author_sort | Cuauhtémoc Mazón-Valadez |
| collection | DOAJ |
| description | The vibration control in structural design has long been a critical area of study, particularly in mitigating undesirable resonant vibrations using dynamic vibration absorbers (DVAs). Traditional approaches to tuning DVAs have relied on complex mathematical models based on Newtonian or Euler–Lagrange equations, often leading to intricate systems requiring simplification of the analysis of multi-degree-of-freedom structures. This paper introduces a novel modeling approach for analyzing DVAs based on the concept of global admittance, which stems from mechanical admittance and network simplifications. This model streamlines the representation of structures with DVAs as one-degree-of-freedom systems coupled with a global admittance function, which emulates additional damping coupled to the primary structure. In this work, global admittance functions are determined by the independent analysis of the mechanical networks of the DVA, restructuring the process of obtaining the system’s transfer function. The model was validated using different classical DVA configurations, demonstrating total accuracy in its applicability across designs concerning conventional modeling. Our most remarkable finding was that the dimensionless function, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>γ</mi></mrow><mrow><mi>g</mi></mrow></msub><mfenced separators="|"><mrow><mi mathvariant="sans-serif">Ω</mi></mrow></mfenced></mrow></semantics></math></inline-formula>, resulting from the global admittance, partially decouples the dynamics of the DVAs from the primary structure, facilitating the implementation of passive vibration control strategies in more realistic structural models. Additionally, this work establishes a significant advancement in vibration control analysis, providing a flexible tool for control strategies in real-world structural systems. |
| format | Article |
| id | doaj-art-3ed2f48c1a894e48ba518aa082cf7351 |
| institution | Kabale University |
| issn | 2571-631X |
| language | English |
| publishDate | 2025-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Vibration |
| spelling | doaj-art-3ed2f48c1a894e48ba518aa082cf73512025-08-20T03:32:32ZengMDPI AGVibration2571-631X2025-04-01821910.3390/vibration8020019Global Admittance: A New Modeling Approach to Dynamic Performance Analysis of Dynamic Vibration AbsorbersCuauhtémoc Mazón-Valadez0Eduardo Barredo1Jorge Colín-Ocampo2Javier A. Pérez-Molina3Demetrio Pérez-Vigueras4Ernesto E. Mazón-Valadez5Agustín Barrera-Sánchez6Departamento de Ingeniería Mecánica, Tecnológico Nacional de México/CENIDET, Interior Int, Palmira s/n. Col. Palmira, Cuernavaca 62490, MOR, MexicoDepartamento de Ingeniería en Sistemas Automotrices, Universidad Politécnica de Tapachula, Carretera Tapachula-Puerto Madero km 24+300, San Benito, Puerto Madero, Tapachula 30830, CHIS, MexicoDepartamento de Ingeniería Mecánica, Tecnológico Nacional de México/CENIDET, Interior Int, Palmira s/n. Col. Palmira, Cuernavaca 62490, MOR, MexicoDepartamento de Ingeniería Mecánica, Tecnológico Nacional de México/CENIDET, Interior Int, Palmira s/n. Col. Palmira, Cuernavaca 62490, MOR, MexicoDepartamento de Ingeniería Electromecánica, Tecnológico Nacional de México/ITESA, Carretera Apan-Tepeapulco, Las Peñitas, Apan 43900, HGO, MexicoDepartamento de Cencías Tecnológicas, Universidad de Guadalajara/CUCiénega, Av. Universidad #1115, Lindavista, Ocotlán 47820, JAL, MexicoDepartamento de Ingeniería Mecánica, Tecnológico Nacional de México/CENIDET, Interior Int, Palmira s/n. Col. Palmira, Cuernavaca 62490, MOR, MexicoThe vibration control in structural design has long been a critical area of study, particularly in mitigating undesirable resonant vibrations using dynamic vibration absorbers (DVAs). Traditional approaches to tuning DVAs have relied on complex mathematical models based on Newtonian or Euler–Lagrange equations, often leading to intricate systems requiring simplification of the analysis of multi-degree-of-freedom structures. This paper introduces a novel modeling approach for analyzing DVAs based on the concept of global admittance, which stems from mechanical admittance and network simplifications. This model streamlines the representation of structures with DVAs as one-degree-of-freedom systems coupled with a global admittance function, which emulates additional damping coupled to the primary structure. In this work, global admittance functions are determined by the independent analysis of the mechanical networks of the DVA, restructuring the process of obtaining the system’s transfer function. The model was validated using different classical DVA configurations, demonstrating total accuracy in its applicability across designs concerning conventional modeling. Our most remarkable finding was that the dimensionless function, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mrow><mi>γ</mi></mrow><mrow><mi>g</mi></mrow></msub><mfenced separators="|"><mrow><mi mathvariant="sans-serif">Ω</mi></mrow></mfenced></mrow></semantics></math></inline-formula>, resulting from the global admittance, partially decouples the dynamics of the DVAs from the primary structure, facilitating the implementation of passive vibration control strategies in more realistic structural models. Additionally, this work establishes a significant advancement in vibration control analysis, providing a flexible tool for control strategies in real-world structural systems.https://www.mdpi.com/2571-631X/8/2/19DVA compilationmechanical networksmechanical admittanceglobal admittance |
| spellingShingle | Cuauhtémoc Mazón-Valadez Eduardo Barredo Jorge Colín-Ocampo Javier A. Pérez-Molina Demetrio Pérez-Vigueras Ernesto E. Mazón-Valadez Agustín Barrera-Sánchez Global Admittance: A New Modeling Approach to Dynamic Performance Analysis of Dynamic Vibration Absorbers Vibration DVA compilation mechanical networks mechanical admittance global admittance |
| title | Global Admittance: A New Modeling Approach to Dynamic Performance Analysis of Dynamic Vibration Absorbers |
| title_full | Global Admittance: A New Modeling Approach to Dynamic Performance Analysis of Dynamic Vibration Absorbers |
| title_fullStr | Global Admittance: A New Modeling Approach to Dynamic Performance Analysis of Dynamic Vibration Absorbers |
| title_full_unstemmed | Global Admittance: A New Modeling Approach to Dynamic Performance Analysis of Dynamic Vibration Absorbers |
| title_short | Global Admittance: A New Modeling Approach to Dynamic Performance Analysis of Dynamic Vibration Absorbers |
| title_sort | global admittance a new modeling approach to dynamic performance analysis of dynamic vibration absorbers |
| topic | DVA compilation mechanical networks mechanical admittance global admittance |
| url | https://www.mdpi.com/2571-631X/8/2/19 |
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