Acta Mechanica Solida Sinica

, Volume 19, Issue 2, pp 160–166 | Cite as

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

  • Jiangyi Chen
  • Hualing Chen
  • Ernian Pan


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.

Key words

functionally graded material magneto-electro-elastic plates modal shapes state-space method 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2006

Authors and Affiliations

  • Jiangyi Chen
    • 1
  • Hualing Chen
    • 1
  • Ernian Pan
    • 2
  1. 1.School of Mechanical EngineeringXi’an Jiaotong UniversityXi’anChina
  2. 2.Department of Civil EngineeringUniversity of AkronAkronUSA

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