Thermal Buckling and Vibrational Analysis of Carbon Nanotube Reinforced Rectangular Composite Plates Based on Third-Order Shear Deformation Theory
Publication: Journal of Engineering Mechanics
Volume 149, Issue 6
Abstract
In this paper, thermal buckling and free vibration of a rectangular plate reinforced with carbon nanotubes (CNT) are investigated within the framework of third-order shear deformation theory (TSDT). CNT distribution along the thickness direction of the plate is uniformly or functionally graded. The equivalent properties of the reinforced composite plate are calculated based on the extended rule of mixture. Governing equations of motion are derived using the Hamilton principle. Obtained governing differential equations are analyzed by utilizing Fourier series expansion along the longitudinal and latitudinal direction for simply supported edges boundary conditions whereas for other edges boundary conditions we used the differential quadrature method (DQM) to solve numerically. Validation of the present formulation is assessed by comparing the results with those reported in the open literature. The effect of CNT volume fraction, the different patterns of CNT distribution, temperature difference, aspect ratio, and thickness-to-length ratio on buckling and vibration behavior of carbon nanotube-reinforced composite (CNTRC) plate is studied. The numerical illustration reveals that in the FG-X pattern of CNT distribution natural frequency and thermal buckling load is more significant compared with the other patterns of CNT distribution.
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Data Availability Statement
No data, models, or code were generated or used during the study.
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Information
Published In
Journal of Engineering Mechanics
Volume 149 • Issue 6 • June 2023
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Aug 2, 2022
Accepted: Jan 11, 2023
Published online: Mar 17, 2023
Published in print: Jun 1, 2023
Discussion open until: Aug 17, 2023
ASCE Technical Topics:
- Buckling
- Carbon fibers
- Composite materials
- Continuum mechanics
- Deformation (mechanics)
- Dynamics (solid mechanics)
- Engineering materials (by type)
- Engineering mechanics
- Fibers
- Material mechanics
- Materials engineering
- Motion (dynamics)
- Nanomechanics
- Plates
- Shear deformation
- Solid mechanics
- Structural dynamics
- Structural engineering
- Structural mechanics
- Structural members
- Structural systems
- Tubes (structure)
- Vibration
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