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Free vibration analysis of a bidirectional functionally graded carbon nanotube reinforced composite beam
M. Pang, S. M. Zhou, B. L. Hu, Y. Q. Zhang College of Civil Engineering and Architecture, Zhejiang University, Hangzhou, China
Abstract:
Based on the Timoshenko beam theory, the vibration properties of a bidirectional functionally graded carbon nanotube reinforced composite beam are investigated. The governing equation of free vibration for the composite beam is derived, which considers the main influential factors, such as the gradient index and the distribution, aspect ratio, and volume ratio of carbon nanotubes. The differential quadrature method is used to solve the governing equation. The natural frequency of the composite beam is obtained. It is found that the natural frequency and vibration mode shapes of the beam are dependent upon the gradient index, nanotube distribution, and volume ratio of nanotubes. However, it should be pointed out that the nanotube distribution in the height direction and the volume ratio of nanotubes have very limited effects on the mode shapes of the composite beam.
Keywords:
free vibration, bidirectional functionally graded beam, Timoshenko beam theory, differential quadrature method, carbon nanotube.
Received: 11.05.2022 Revised: 05.05.2023 Accepted: 29.05.2023
Citation:
M. Pang, S. M. Zhou, B. L. Hu, Y. Q. Zhang, “Free vibration analysis of a bidirectional functionally graded carbon nanotube reinforced composite beam”, Prikl. Mekh. Tekh. Fiz., 64:5 (2023), 166–178; J. Appl. Mech. Tech. Phys., 64:5 (2024), 878–889
Linking options:
https://www.mathnet.ru/eng/pmtf1819 https://www.mathnet.ru/eng/pmtf/v64/i5/p166
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Abstract page: | 30 | References: | 9 | First page: | 4 |
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