Advances in nano research

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Analytical solution for analyzing initial curvature effect on vibrational behavior of PM beams integrated with FGP layers based on trigonometric theories

  • Mousavi, S. Behnam (Department of Mechanical Engineering, Sirjan University of Technology) ;
  • Amir, Saeed (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan) ;
  • Jafari, Akbar (Department of Mechanical Engineering, Sirjan University of Technology) ;
  • Arshid, Ehsan (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan)
  • Received : 2020.04.12
  • Accepted : 2020.12.18
  • Published : 2021.03.25
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Abstract

In the current study, the free vibrational behavior of a Porous Micro (PM) beam which is integrated with Functionally Graded Piezoelectric (FGP) layers with initial curvature is considered based on the two trigonometric shear deformation theories namely SSDBT and Tan-SDBT. The structure's mechanical properties are varied through its thicknesses following the given functions. The curved microbeam is exposed to electro-mechanical preload and also is rested on a Pasternak type of elastic foundation. Hamilton's principle is used to extract the motion equations and the MCST is used to capture the size effect. Navier's solution method is selected as an analytical method to solve the motion equations for a simply supported ends case and by validating the results for a simpler state with previously published works, effects of different important parameters on the behavior of the structure are considered. It is found that although increasing the porosity reduces the natural frequency, but enhancing the volume fraction of CNTs increasing it. Also, by increasing the central angle of the curved beam the vibrations of the structure increases. Designing and manufacturing more efficient smart structures such as sensors and actuators are of the aims of this study.

Keywords

Acknowledgement

The authors would like to thank the reviewers for their valuable comments and suggestions to improve the clarity of this study.

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