Free Vibration Analysis of Thin-Walled Beams Using Two-Phase Local–Nonlocal Constitutive ModelSource: Journal of Vibration and Acoustics:;2023:;volume( 145 ):;issue: 003::page 31009-1Author:Gökhan Günay, M.
DOI: 10.1115/1.4056908Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A mathematical model is developed based on the thin-walled beams theory for free vibration analysis of nano/micro scale beams having nonlocal properties and arbitrary cross sections. Constitutive relations are defined by using two-phase local–nonlocal constitutive formulation. Equations of motion are derived by use of Hamilton‘s principle. Both the local and nonlocal part of the model is solved by the displacement-based finite element method. Numerical results are obtained and examined for nonlocal box beams and collapsed carbon nanotubes. In general, it is observed that the natural frequency decreases by increasing the nonlocal parameter or the volume fraction of the nonlocal part.
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| contributor author | Gökhan Günay, M. | |
| date accessioned | 2023-08-16T18:12:47Z | |
| date available | 2023-08-16T18:12:47Z | |
| date copyright | 3/2/2023 12:00:00 AM | |
| date issued | 2023 | |
| identifier issn | 1048-9002 | |
| identifier other | vib_145_3_031009.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4291631 | |
| description abstract | A mathematical model is developed based on the thin-walled beams theory for free vibration analysis of nano/micro scale beams having nonlocal properties and arbitrary cross sections. Constitutive relations are defined by using two-phase local–nonlocal constitutive formulation. Equations of motion are derived by use of Hamilton‘s principle. Both the local and nonlocal part of the model is solved by the displacement-based finite element method. Numerical results are obtained and examined for nonlocal box beams and collapsed carbon nanotubes. In general, it is observed that the natural frequency decreases by increasing the nonlocal parameter or the volume fraction of the nonlocal part. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Free Vibration Analysis of Thin-Walled Beams Using Two-Phase Local–Nonlocal Constitutive Model | |
| type | Journal Paper | |
| journal volume | 145 | |
| journal issue | 3 | |
| journal title | Journal of Vibration and Acoustics | |
| identifier doi | 10.1115/1.4056908 | |
| journal fristpage | 31009-1 | |
| journal lastpage | 31009-8 | |
| page | 8 | |
| tree | Journal of Vibration and Acoustics:;2023:;volume( 145 ):;issue: 003 | |
| contenttype | Fulltext |