Mathematical and numerical modeling of resonant frequencies of fluid-structure systems for digital twins.
Saved in:
| Title: | Mathematical and numerical modeling of resonant frequencies of fluid-structure systems for digital twins. |
|---|---|
| Authors: | Amirkhanov, Bauyrzhan1 amirkhanov.b@gmail.com, Amirkhanova, Gulshat1, Kunelbayev, Murat1,2, Raeva, Alina1 |
| Source: | Sound & Vibration. 2026, Vol. 60 Issue 3, p1-17. 17p. |
| Subjects: | Fluid-structure interaction, Digital twin, Finite element method, Mathematical models, Eigenfrequencies, Computer simulation, Condition-based maintenance |
| Abstract: | This research establishes a comprehensive mathematical and numerical framework for accurately predicting the resonant frequencies of fluid-filled thin-walled structures, a critical factor in the safety and performance of engineering systems such as storage tanks, pipelines, and aerospace components. The study addresses the inherent limitations of classical analytical solutions, which are typically restricted to idealized geometries and cannot account for the complexities of real-world applications. By coupling the Navier-Lamé equations for elastic shell motion with the Laplace equation for the fluid domain, the model effectively captures the "added mass effect"--the phenomenon where internal fluid interaction significantly reduces a structure's natural frequencies. This effect is particularly pronounced in systems with denser fluids, larger radii, and thinner walls. The proposed framework was rigorously validated against a diverse dataset of 54 experimental cases from peer-reviewed literature, covering various geometries (spheres, cylinders, and square plates) and materials including glass, steel, and aluminum. The results demonstrated exceptional reliability, with an average relative error of less than 0.5% across all tested configurations. Statistical analysis, including Boxplots and Empirical CDFs, further confirmed that the model maintains sub-percent-level accuracy, with 100% of cases showing less than 1.1% error. Implemented within the ANSYS finite element environment, the model's computational efficiency and high precision make it an ideal tool for integration into digital twin systems. Such integration enables real-time dynamic monitoring and predictive maintenance of complex industrial infrastructure. Future developments aim to enhance the model by incorporating nonlinear fluid effects, such as sloshing, and integrating these simulations into Industrial Internet of Things (IIoT) frameworks. [ABSTRACT FROM AUTHOR] |
| Copyright of Sound & Vibration is the property of Academic Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 195090140 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Mathematical and numerical modeling of resonant frequencies of fluid-structure systems for digital twins. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Amirkhanov%2C+Bauyrzhan%22">Amirkhanov, Bauyrzhan</searchLink><relatesTo>1</relatesTo><i> amirkhanov.b@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Amirkhanova%2C+Gulshat%22">Amirkhanova, Gulshat</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Kunelbayev%2C+Murat%22">Kunelbayev, Murat</searchLink><relatesTo>1,2</relatesTo><br /><searchLink fieldCode="AR" term="%22Raeva%2C+Alina%22">Raeva, Alina</searchLink><relatesTo>1</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Sound+%26+Vibration%22">Sound & Vibration</searchLink>. 2026, Vol. 60 Issue 3, p1-17. 17p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Fluid-structure+interaction%22">Fluid-structure interaction</searchLink><br /><searchLink fieldCode="DE" term="%22Digital+twin%22">Digital twin</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Eigenfrequencies%22">Eigenfrequencies</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Condition-based+maintenance%22">Condition-based maintenance</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This research establishes a comprehensive mathematical and numerical framework for accurately predicting the resonant frequencies of fluid-filled thin-walled structures, a critical factor in the safety and performance of engineering systems such as storage tanks, pipelines, and aerospace components. The study addresses the inherent limitations of classical analytical solutions, which are typically restricted to idealized geometries and cannot account for the complexities of real-world applications. By coupling the Navier-Lamé equations for elastic shell motion with the Laplace equation for the fluid domain, the model effectively captures the "added mass effect"--the phenomenon where internal fluid interaction significantly reduces a structure's natural frequencies. This effect is particularly pronounced in systems with denser fluids, larger radii, and thinner walls. The proposed framework was rigorously validated against a diverse dataset of 54 experimental cases from peer-reviewed literature, covering various geometries (spheres, cylinders, and square plates) and materials including glass, steel, and aluminum. The results demonstrated exceptional reliability, with an average relative error of less than 0.5% across all tested configurations. Statistical analysis, including Boxplots and Empirical CDFs, further confirmed that the model maintains sub-percent-level accuracy, with 100% of cases showing less than 1.1% error. Implemented within the ANSYS finite element environment, the model's computational efficiency and high precision make it an ideal tool for integration into digital twin systems. Such integration enables real-time dynamic monitoring and predictive maintenance of complex industrial infrastructure. Future developments aim to enhance the model by incorporating nonlinear fluid effects, such as sloshing, and integrating these simulations into Industrial Internet of Things (IIoT) frameworks. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Sound & Vibration is the property of Academic Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=195090140 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.59400/sv3981 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 17 StartPage: 1 Subjects: – SubjectFull: Fluid-structure interaction Type: general – SubjectFull: Digital twin Type: general – SubjectFull: Finite element method Type: general – SubjectFull: Mathematical models Type: general – SubjectFull: Eigenfrequencies Type: general – SubjectFull: Computer simulation Type: general – SubjectFull: Condition-based maintenance Type: general Titles: – TitleFull: Mathematical and numerical modeling of resonant frequencies of fluid-structure systems for digital twins. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Amirkhanov, Bauyrzhan – PersonEntity: Name: NameFull: Amirkhanova, Gulshat – PersonEntity: Name: NameFull: Kunelbayev, Murat – PersonEntity: Name: NameFull: Raeva, Alina IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: 2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 15410161 Numbering: – Type: volume Value: 60 – Type: issue Value: 3 Titles: – TitleFull: Sound & Vibration Type: main |
| ResultId | 1 |
