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Free vibration analysis of power-law and sigmoidal sandwich FG plates using refined zigzag theory

  • Aman Garg (Department of Civil and Environmental Engineering, The NorthCap University) ;
  • Simmi Gupta (Department of Civil Engineering, National Institute of Technology Kurukshetra) ;
  • Hanuman D. Chalak (Department of Civil Engineering, National Institute of Technology Kurukshetra) ;
  • Mohamed-Ouejdi Belarbi (Laboratoire de Recherche en Genie Civil, LRGC. Universite de Biskra) ;
  • Abdelouahed Tounsi (YFL (Yonsei Frontier Lab), Yonsei University) ;
  • Li Li (State Key Laboratory of Digital Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science and Technology) ;
  • A.M. Zenkour (Department of Mathematics, Faculty of Science, King Abdulaziz University)
  • Received : 2022.04.15
  • Accepted : 2022.05.06
  • Published : 2023.03.25
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Abstract

Free vibration analysis of power law and sigmoidal sandwich plates made up of functionally graded materials (FGMs) has been carried out using finite element based higher-order zigzag theory. The present model satisfies all-important conditions such as transverse shear stress-free conditions at the plate's top and bottom surface along with continuity condition for transverse stresses at the interface. A Nine-noded C0 finite element having eleven degrees of freedom per node is used during the study. The present model is free from the requirement of any penalty function or post-processing technique and hence is computationally efficient. The present model's effectiveness is demonstrated by comparing the present results with available results in the literature. Several new results have been proposed in the present work, which will serve as a benchmark for future works. It has been observed that the material variation law, power-law exponent, skew angle, and boundary condition of the plate widely determines the free vibration behavior of sandwich functionally graded (FG) plate.

Keywords

Acknowledgement

Simmi Gupta thanks MHRD, Government of India for financially supporting the present work through Ph. D. scholarship grant no. 2K18/NITK/PHD/6180093.

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