Academic Journal
Numerical and Experimental Modal Analyses of Re-Entrant Unit-Cell-Shaped Frames.
| Τίτλος: | Numerical and Experimental Modal Analyses of Re-Entrant Unit-Cell-Shaped Frames. |
|---|---|
| Συγγραφείς: | Yucel, Adil, Arpaci, Alaeddin, Bal, Asli, Ciftci, Cemre |
| Πηγή: | Applied Mechanics; Mar2026, Vol. 7 Issue 1, p10, 35p |
| Θεματικοί όροι: | Modal analysis, Structural frames, Eigenfrequencies, Vibration isolation, Model validation, Dynamic stiffness, Finite element method |
| Περίληψη: | This study investigates the dynamic behaviors of re-entrant unit-cell-shaped steel frames through numerical and experimental modal analyses. Inspired by re-entrant honeycomb structures, individual frame units were modeled to explore how natural frequencies vary with beam cross-sectional dimensions and frame angles. Twenty distinct frame models—incorporating four cross-sectional sizes (4 × 4 mm, 8 × 8 mm, 12 × 12 mm, and 16 × 16 mm) and five main frame angles (120°, 150°, 180°, 210°, and 240°)—were developed using 3D modeling and finite element analysis (FEA) tools, and the first eight natural frequencies and corresponding mode shapes were extracted for each model. The results reveal that lower modes exhibit global bending and torsional behaviors, whereas higher modes demonstrate increasingly localized deformations. It is found that the natural frequencies decrease in the straight frame configuration and increase in the hexagonal configurations, highlighting the critical influence of the frame geometry. Increasing the cross-sectional size consistently enhances the dynamic stiffness, particularly in hexagonal frames. A quadratic polynomial surface regression analysis was performed to model the relationship of the natural frequency with the cross-sectional dimension and frame angle, achieving high predictive accuracy (R2 > 0.98). The experimental validation results were in good agreement with the numerical results, with discrepancies generally remaining below 7%. The developed regression model provides an efficient design tool for predicting vibrational behaviors and optimizing frame configurations without extensive simulations; furthermore, experimental modal analyses validated the numerical results, confirming the effectiveness of the model. Overall, this study provides a comprehensive understanding of the dynamic characteristics of re-entrant frame structures and proposes practical design strategies for improving vibrational performance, which is particularly relevant in applications such as machine foundations, vibration isolation systems, and aerospace structures. [ABSTRACT FROM AUTHOR] |
| Copyright of Applied Mechanics is the property of MDPI 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.) | |
| Βάση Δεδομένων: | Complementary Index |
| FullText | Text: Availability: 0 |
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| Header | DbId: edb DbLabel: Complementary Index An: 192658492 RelevancyScore: 1061 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 1060.7568359375 |
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| Items | – Name: Title Label: Title Group: Ti Data: Numerical and Experimental Modal Analyses of Re-Entrant Unit-Cell-Shaped Frames. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Yucel%2C+Adil%22">Yucel, Adil</searchLink><br /><searchLink fieldCode="AR" term="%22Arpaci%2C+Alaeddin%22">Arpaci, Alaeddin</searchLink><br /><searchLink fieldCode="AR" term="%22Bal%2C+Asli%22">Bal, Asli</searchLink><br /><searchLink fieldCode="AR" term="%22Ciftci%2C+Cemre%22">Ciftci, Cemre</searchLink> – Name: TitleSource Label: Source Group: Src Data: Applied Mechanics; Mar2026, Vol. 7 Issue 1, p10, 35p – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Modal+analysis%22">Modal analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+frames%22">Structural frames</searchLink><br /><searchLink fieldCode="DE" term="%22Eigenfrequencies%22">Eigenfrequencies</searchLink><br /><searchLink fieldCode="DE" term="%22Vibration+isolation%22">Vibration isolation</searchLink><br /><searchLink fieldCode="DE" term="%22Model+validation%22">Model validation</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamic+stiffness%22">Dynamic stiffness</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This study investigates the dynamic behaviors of re-entrant unit-cell-shaped steel frames through numerical and experimental modal analyses. Inspired by re-entrant honeycomb structures, individual frame units were modeled to explore how natural frequencies vary with beam cross-sectional dimensions and frame angles. Twenty distinct frame models—incorporating four cross-sectional sizes (4 × 4 mm, 8 × 8 mm, 12 × 12 mm, and 16 × 16 mm) and five main frame angles (120°, 150°, 180°, 210°, and 240°)—were developed using 3D modeling and finite element analysis (FEA) tools, and the first eight natural frequencies and corresponding mode shapes were extracted for each model. The results reveal that lower modes exhibit global bending and torsional behaviors, whereas higher modes demonstrate increasingly localized deformations. It is found that the natural frequencies decrease in the straight frame configuration and increase in the hexagonal configurations, highlighting the critical influence of the frame geometry. Increasing the cross-sectional size consistently enhances the dynamic stiffness, particularly in hexagonal frames. A quadratic polynomial surface regression analysis was performed to model the relationship of the natural frequency with the cross-sectional dimension and frame angle, achieving high predictive accuracy (R<superscript>2</superscript> > 0.98). The experimental validation results were in good agreement with the numerical results, with discrepancies generally remaining below 7%. The developed regression model provides an efficient design tool for predicting vibrational behaviors and optimizing frame configurations without extensive simulations; furthermore, experimental modal analyses validated the numerical results, confirming the effectiveness of the model. Overall, this study provides a comprehensive understanding of the dynamic characteristics of re-entrant frame structures and proposes practical design strategies for improving vibrational performance, which is particularly relevant in applications such as machine foundations, vibration isolation systems, and aerospace structures. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of Applied Mechanics is the property of MDPI 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.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.3390/applmech7010010 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 35 StartPage: 10 Subjects: – SubjectFull: Modal analysis Type: general – SubjectFull: Structural frames Type: general – SubjectFull: Eigenfrequencies Type: general – SubjectFull: Vibration isolation Type: general – SubjectFull: Model validation Type: general – SubjectFull: Dynamic stiffness Type: general – SubjectFull: Finite element method Type: general Titles: – TitleFull: Numerical and Experimental Modal Analyses of Re-Entrant Unit-Cell-Shaped Frames. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Yucel, Adil – PersonEntity: Name: NameFull: Arpaci, Alaeddin – PersonEntity: Name: NameFull: Bal, Asli – PersonEntity: Name: NameFull: Ciftci, Cemre IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 26733161 Numbering: – Type: volume Value: 7 – Type: issue Value: 1 Titles: – TitleFull: Applied Mechanics Type: main |
| ResultId | 1 |