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Free vibration of functionally graded, magneto-electro-elastic, and multilayered plates

Free vibration of functionally graded, magneto-electro-elastic, and multilayered plates Abstract The state-space method is employed to evaluate the modal parameters of functionally graded, magneto-electro-elastic, and multilayered plates. Based on the assumption that the properties of the functionally graded material are exponential, the state equation of structural vibration which takes the displacement and stress of the structure as state variables is derived. The natural frequencies and modal shapes are calculated based on the general solutions of the state equation and boundary conditions given in this paper. The influence of the functionally graded exponential factor on the elastic displacement, electric, and magnetic fields of the structure are discussed by assuming a sandwich plate model with different stacking sequences. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mechanica Solida Sinica" Springer Journals

Free vibration of functionally graded, magneto-electro-elastic, and multilayered plates

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Publisher
Springer Journals
Copyright
2006 The Chinese Society of Theoretical and Applied Mechanics and Technology
ISSN
0894-9166
eISSN
1860-2134
DOI
10.1007/s10338-006-0619-3
Publisher site
See Article on Publisher Site

Abstract

Abstract The state-space method is employed to evaluate the modal parameters of functionally graded, magneto-electro-elastic, and multilayered plates. Based on the assumption that the properties of the functionally graded material are exponential, the state equation of structural vibration which takes the displacement and stress of the structure as state variables is derived. The natural frequencies and modal shapes are calculated based on the general solutions of the state equation and boundary conditions given in this paper. The influence of the functionally graded exponential factor on the elastic displacement, electric, and magnetic fields of the structure are discussed by assuming a sandwich plate model with different stacking sequences.

Journal

"Acta Mechanica Solida Sinica" – Springer Journals

Published: Jun 1, 2006

Keywords: Theoretical and Applied Mechanics; Surfaces and Interfaces, Thin Films; Classical Mechanics

References

  • Effective properties of layered magneto-electro-elastic composites
    ZR Chen, SW Yu, L Meng
  • Layered versus multiphase magneto-electro-elastic composites
    GR Buchanan
  • Three dimensional analysis for free vibration of rectangle composite laminates with piezoelectric layers
    JX Gao, YP Shen, J Wang
  • Exact solution for simply supported and multilayered magneto-electric-elastic plates
    E Pan
  • State vector approach to analysis of multilayered magneto-electro-elastic plates
    JG Wang, LF Chen, SS Fang
  • Free vibrations of simply supported and multilayered magneto- electro-elastic plates
    E Pan, PR Heyliger
  • Static analysis of functionally graded elastic anisotropic plates using a discrete layer approach
    F Ramirez, PR Heyliger, E Pan
  • Exact electroelastic analysis of piezoelectric laminate via state space approach
    JS Lee, ZL Jiang
  • Layerwise partial mixed finite element analysis of magneto-electro-elastic plates
    RG Lage, CMM Soares, CAM Soares