Experimental and Numerical Analysis of Triply Coupled Vibration of Thin-Walled Beam with Arbitrary Closed Cross-Section
In this paper, a numerical experimental study about coupled vibration and natural frequency of thin-walled beams with an arbitrary closed cross-section is presented. A new thin-walled beam dynamic transfer matrix method, named TDTMM, is presented in the frequency domain for the thin-walled beam, whi...
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| Format: | Article |
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MDPI AG
2023-02-01
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| Series: | Machines |
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| Online Access: | https://www.mdpi.com/2075-1702/11/2/251 |
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| author | Jianglin Yang Ting Xu Haolong Zhong Meng Sun Fei Gao |
| author_facet | Jianglin Yang Ting Xu Haolong Zhong Meng Sun Fei Gao |
| author_sort | Jianglin Yang |
| collection | DOAJ |
| description | In this paper, a numerical experimental study about coupled vibration and natural frequency of thin-walled beams with an arbitrary closed cross-section is presented. A new thin-walled beam dynamic transfer matrix method, named TDTMM, is presented in the frequency domain for the thin-walled beam, which expands the advantages of the general dynamic transfer matrix method (GDTMM). The theory takes into account the influence of warping effect, that is, both the bimoment <b><i>B</i></b> and the rate of twist <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ϕ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> of the beam are considered, and the TDTMM is derived by solving the governing differential equations of motion for coupled bending and torsional vibration of the thin-walled beam. Finally, two numerical examples and one experimental example are given and compared with the GDTMM and the finite element method (FEM) results to validate the developed theory. |
| first_indexed | 2024-03-11T08:31:05Z |
| format | Article |
| id | doaj.art-057f9d3e6c9640bd91e0deeccf56d7a8 |
| institution | Directory Open Access Journal |
| issn | 2075-1702 |
| language | English |
| last_indexed | 2024-03-11T08:31:05Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
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| series | Machines |
| spelling | doaj.art-057f9d3e6c9640bd91e0deeccf56d7a82023-11-16T21:45:59ZengMDPI AGMachines2075-17022023-02-0111225110.3390/machines11020251Experimental and Numerical Analysis of Triply Coupled Vibration of Thin-Walled Beam with Arbitrary Closed Cross-SectionJianglin Yang0Ting Xu1Haolong Zhong2Meng Sun3Fei Gao4Ji Hua Laboratory, Foshan 528200, ChinaJi Hua Laboratory, Foshan 528200, ChinaJi Hua Laboratory, Foshan 528200, ChinaJi Hua Laboratory, Foshan 528200, ChinaState Key Laboratory of Automotive Simulation and Control, Changchun 130025, ChinaIn this paper, a numerical experimental study about coupled vibration and natural frequency of thin-walled beams with an arbitrary closed cross-section is presented. A new thin-walled beam dynamic transfer matrix method, named TDTMM, is presented in the frequency domain for the thin-walled beam, which expands the advantages of the general dynamic transfer matrix method (GDTMM). The theory takes into account the influence of warping effect, that is, both the bimoment <b><i>B</i></b> and the rate of twist <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>ϕ</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> of the beam are considered, and the TDTMM is derived by solving the governing differential equations of motion for coupled bending and torsional vibration of the thin-walled beam. Finally, two numerical examples and one experimental example are given and compared with the GDTMM and the finite element method (FEM) results to validate the developed theory.https://www.mdpi.com/2075-1702/11/2/251coupled vibrationarbitrary closed cross-sectionthin-walled beambimomentrate of twist |
| spellingShingle | Jianglin Yang Ting Xu Haolong Zhong Meng Sun Fei Gao Experimental and Numerical Analysis of Triply Coupled Vibration of Thin-Walled Beam with Arbitrary Closed Cross-Section Machines coupled vibration arbitrary closed cross-section thin-walled beam bimoment rate of twist |
| title | Experimental and Numerical Analysis of Triply Coupled Vibration of Thin-Walled Beam with Arbitrary Closed Cross-Section |
| title_full | Experimental and Numerical Analysis of Triply Coupled Vibration of Thin-Walled Beam with Arbitrary Closed Cross-Section |
| title_fullStr | Experimental and Numerical Analysis of Triply Coupled Vibration of Thin-Walled Beam with Arbitrary Closed Cross-Section |
| title_full_unstemmed | Experimental and Numerical Analysis of Triply Coupled Vibration of Thin-Walled Beam with Arbitrary Closed Cross-Section |
| title_short | Experimental and Numerical Analysis of Triply Coupled Vibration of Thin-Walled Beam with Arbitrary Closed Cross-Section |
| title_sort | experimental and numerical analysis of triply coupled vibration of thin walled beam with arbitrary closed cross section |
| topic | coupled vibration arbitrary closed cross-section thin-walled beam bimoment rate of twist |
| url | https://www.mdpi.com/2075-1702/11/2/251 |
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