Coupled Modal Analysis and Aerodynamics of Rotating Composite Beam
This study primarily focuses on conducting, both experimentally and numerically, a modal analysis of a cantilever composite beam. Through extended numerical simulations, we investigate Campbell diagrams, which, depending on the rotation speed of the structure, comprise natural frequencies and their...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-11-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/16/23/7356 |
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| author | Grzegorz Stachyra Lukasz Kloda Zofia Szmit |
| author_facet | Grzegorz Stachyra Lukasz Kloda Zofia Szmit |
| author_sort | Grzegorz Stachyra |
| collection | DOAJ |
| description | This study primarily focuses on conducting, both experimentally and numerically, a modal analysis of a cantilever composite beam. Through extended numerical simulations, we investigate Campbell diagrams, which, depending on the rotation speed of the structure, comprise natural frequencies and their corresponding modal shapes. Our results are categorized into two main aspects: the classical single-mode behavior and an innovative extension involving linearly coupled modal analysis. One key novelty of our research lies in the introduction of an analytical description for coupled mode shapes, which encompass various deformations, including bending, longitudinal deformations, and twisting. The most pronounced activation of dynamic couplings within the linear regime for a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>45</mn><mo>∘</mo></msup></semantics></math></inline-formula> preset angle is observed, though the same is not true of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>0</mn><mo>∘</mo></msup></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>90</mn><mo>∘</mo></msup></semantics></math></inline-formula> preset angles, for which these couplings are not visible. In addition to the modal analysis, our secondary goal is to assess the lift, drag forces, and moment characteristics of a rectangular profile in uniform flow. We provide insights into both the static and dynamic aerodynamic responses experienced by the beam within an operational frequency spectrum. This study contributes to a deeper understanding of the dynamics of composite rotating beams and their aerodynamic characteristics. |
| first_indexed | 2024-03-09T01:48:11Z |
| format | Article |
| id | doaj.art-b3f9c836cc1946a7bc174e51c15f174f |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-09T01:48:11Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-b3f9c836cc1946a7bc174e51c15f174f2023-12-08T15:20:52ZengMDPI AGMaterials1996-19442023-11-011623735610.3390/ma16237356Coupled Modal Analysis and Aerodynamics of Rotating Composite BeamGrzegorz Stachyra0Lukasz Kloda1Zofia Szmit2Department of Applied Mechanics, Faculty of Mechanical Engineering, Lublin University of Technology, 20-618 Lublin, PolandDepartment of Applied Mechanics, Faculty of Mechanical Engineering, Lublin University of Technology, 20-618 Lublin, PolandDepartment of Applied Mechanics, Faculty of Mechanical Engineering, Lublin University of Technology, 20-618 Lublin, PolandThis study primarily focuses on conducting, both experimentally and numerically, a modal analysis of a cantilever composite beam. Through extended numerical simulations, we investigate Campbell diagrams, which, depending on the rotation speed of the structure, comprise natural frequencies and their corresponding modal shapes. Our results are categorized into two main aspects: the classical single-mode behavior and an innovative extension involving linearly coupled modal analysis. One key novelty of our research lies in the introduction of an analytical description for coupled mode shapes, which encompass various deformations, including bending, longitudinal deformations, and twisting. The most pronounced activation of dynamic couplings within the linear regime for a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>45</mn><mo>∘</mo></msup></semantics></math></inline-formula> preset angle is observed, though the same is not true of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>0</mn><mo>∘</mo></msup></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mn>90</mn><mo>∘</mo></msup></semantics></math></inline-formula> preset angles, for which these couplings are not visible. In addition to the modal analysis, our secondary goal is to assess the lift, drag forces, and moment characteristics of a rectangular profile in uniform flow. We provide insights into both the static and dynamic aerodynamic responses experienced by the beam within an operational frequency spectrum. This study contributes to a deeper understanding of the dynamics of composite rotating beams and their aerodynamic characteristics.https://www.mdpi.com/1996-1944/16/23/7356composite materialrotating structuremodal interactions |
| spellingShingle | Grzegorz Stachyra Lukasz Kloda Zofia Szmit Coupled Modal Analysis and Aerodynamics of Rotating Composite Beam Materials composite material rotating structure modal interactions |
| title | Coupled Modal Analysis and Aerodynamics of Rotating Composite Beam |
| title_full | Coupled Modal Analysis and Aerodynamics of Rotating Composite Beam |
| title_fullStr | Coupled Modal Analysis and Aerodynamics of Rotating Composite Beam |
| title_full_unstemmed | Coupled Modal Analysis and Aerodynamics of Rotating Composite Beam |
| title_short | Coupled Modal Analysis and Aerodynamics of Rotating Composite Beam |
| title_sort | coupled modal analysis and aerodynamics of rotating composite beam |
| topic | composite material rotating structure modal interactions |
| url | https://www.mdpi.com/1996-1944/16/23/7356 |
| work_keys_str_mv | AT grzegorzstachyra coupledmodalanalysisandaerodynamicsofrotatingcompositebeam AT lukaszkloda coupledmodalanalysisandaerodynamicsofrotatingcompositebeam AT zofiaszmit coupledmodalanalysisandaerodynamicsofrotatingcompositebeam |