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2000
Volume 1, Issue 1
  • ISSN: 2666-1845
  • E-ISSN: 2666-1853

Abstract

Carbon nanotubes (CNTs) reinforced structures are the main elements of structural equipment. Hence a wide range of investigations has been performed on the response of these structures. A lot of studies covered the static and dynamic phenomenon of CNTs reinforced beams, plates and shells. However, there is no study on the free vibration analysis of a doubly-curved nano-size shell made of CNTs reinforced composite materials.

This work utilized a general third-order shear deformation theory to model the nanoshell where the general strain gradient theory is used in order to capture both nonlocality and strain gradient size-dependency. The Navier solution solving procedure is adopted to solve the partial differential equations (PDEs) and get the natural frequency of the system which is obtained through the Hamilton principle.

The current study shows the importance of small-scale coefficients. The natural frequency increases with rising the strain gradient-size dependency which is because of stiffness enhancement, while the natural frequency decreases by increasing the nonlocality. In addition, the numerical examples covered the CNTs distribution patterns.

This work also studied the importance of shell panel’s shape. It has been observed that spherical shell panel has a higher frequency compared to the hyperbolic one. Furthermore, the frequency of the system increases with growing length-to-thickness ration.

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2020-10-05
2025-10-03

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/content/journals/cmam/10.2174/2666184501999201005211608
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Free Vibration of Functionally Graded Carbon Nanotube-reinforced Doubly-curved Shells
Current Mechanics and Advanced Materials 1, 39 (2021); https://doi.org/10.2174/2666184501999201005211608
/content/journals/cmam/10.2174/2666184501999201005211608
/content/journals/cmam/10.2174/2666184501999201005211608
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  • Article Type:     Research Article
Keyword(s): Carbon nanotube-reinforced nanocomposites; doubly-curved shell; free vibration; hamilton principle; higher-order shear deformation theory; nonlocal strain gradient theory

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