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Free vibration analysis of rotating sandwich beams with FG-CNTRC face sheets in thermal environments with general boundary conditions

  • Zedong Lai , Zewei Li , Baichuan Lin and Huaiping Tang EMAIL logo
Published/Copyright: September 7, 2022
Zeitschrift für Naturforschung A
From the journal Zeitschrift für Naturforschung A Volume 77 Issue 12

Abstract

This paper provides a numerical solution for the free vibration of a rotating sandwich beam using FG-CNTRC as the face sheet in a thermal environment. The artificial spring technique is used to imitate classical and nonclassical boundary conditions (BCs) of the rotating sandwich beam. All materials of core and face sheets are considered temperature dependent. Employing the first-order shear deformation theory (FSDT) and Hamilton’s principle, the vibration equation of the beam is derived. Using the differential quadrature method (DQM), the discrete forms of vibration equations and numerical results of the current problem are presented. Then, the applicability of the proposed solution is verified by comparing the corresponding results available in the existing literature. The effects of the distribution of CNTs, thermal effect, rotation, core to face thickness, and geometric parameters on the free vibration of the beam are discussed. More significantly, the different types of FG-CNTRC face sheets produce unusual stiffness enhancement effects on the beam and lead to different stability domains of the beam. The advantage of the proposed method is that the solution for free vibration of the beam with various BCs can be calculated only by changing the stiffness of the artificial spring without re-substituting the BCs in the solution matrix.

Keywords: differential quadrature method; first-order shear deformation theory; functionally graded carbon nanotubes reinforced composite; general boundary conditions; rotating sandwich beams
Corresponding author: Huaiping Tang, School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu 610031, PR China, E-mail:

Funding source: National Natural Science Foundation of China

Award Identifier / Grant number: 51778548

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: This work was supported by the National Natural Science Foundation of China (No. 51778548).

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2022-06-21
Revised: 2022-08-11
Accepted: 2022-08-17
Published Online: 2022-09-07
Published in Print: 2022-12-16

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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  2. General
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  4. Atomic, Molecular & Chemical Physics
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  6. Dynamical Systems & Nonlinear Phenomena
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  8. Free vibration analysis of rotating sandwich beams with FG-CNTRC face sheets in thermal environments with general boundary conditions
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https://doi.org/10.1515/zna-2022-0169
Keywords for this article
differential quadrature method; first-order shear deformation theory; functionally graded carbon nanotubes reinforced composite; general boundary conditions; rotating sandwich beams

Articles in the same Issue

  1. Frontmatter
  2. General
  3. The electrostatic wave modes and formation of dust voids in an externally magnetized cylindrical dusty plasma
  4. Atomic, Molecular & Chemical Physics
  5. Accurate theoretical calculation of relativistic atomic data of Zn-like, Ga-like and Ge-like Re ions
  6. Dynamical Systems & Nonlinear Phenomena
  7. Evolution of ion-acoustic shock waves in magnetized plasma with hybrid Cairns–Tsallis distributed electrons
  8. Free vibration analysis of rotating sandwich beams with FG-CNTRC face sheets in thermal environments with general boundary conditions
  9. Phase synchronization of Wien bridge oscillator-based Josephson junction connected by hybrid synapse
  10. Gravitation & Cosmology
  11. Formulation of axion-electrodynamics with Dirac fields
  12. Solid State Physics & Materials Science
  13. Tunable properties of the defect mode of a ternary photonic crystal with a high TC superconductor and semiconductor layers
  14. Trace cadmium ion detection using optical fiber Mach–Zehnder interferometer coated with PVA/TEOS/APTES
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