On free vibration of non-homogeneous transversely isotropic magneto-electro-elastic plates

Two independent state equations are established for transversely isotropic magneto-electro-elastic media by introducing proper stress and displacement functions. The free vibration problem of simply supported rectangular plates with general inhomogeneous (functionally graded) material properties alo...

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Published inJournal of sound and vibration Vol. 279; no. 1; pp. 237 - 251
Main Authors Chen, W.Q., Yong Lee, Kang, Ding, H.J.
Format Journal Article
LanguageEnglish
Published London Elsevier Ltd 06.01.2005
Elsevier
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Abstract Two independent state equations are established for transversely isotropic magneto-electro-elastic media by introducing proper stress and displacement functions. The free vibration problem of simply supported rectangular plates with general inhomogeneous (functionally graded) material properties along the thickness direction is then considered. An approximate laminate model is employed to transform the state equations with variable coefficients to the ones with constant coefficients. Two different classes of vibrations are found. In particular, the frequency of the first class is only related to the elastic property of the plate, while that of the second class is affected by the couplings among the elastic, electric and magnetic fields. Numerical results are presented and some important issues are discussed.
AbstractList Two independent state equations are established for transversely isotropic magneto-electro-elastic media by introducing proper stress and displacement functions. The free vibration problem of simply supported rectangular plates with general inhomogeneous (functionally graded) material properties along the thickness direction is then considered. An approximate laminate model is employed to transform the state equations with variable coefficients to the ones with constant coefficients. Two different classes of vibrations are found. In particular, the frequency of the first class is only related to the elastic property of the plate, while that of the second class is affected by the couplings among the elastic, electric and magnetic fields. Numerical results are presented and some important issues are discussed.
Author Yong Lee, Kang
Chen, W.Q.
Ding, H.J.
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  surname: Ding
  fullname: Ding, H.J.
  organization: Department of Civil Engineering, Zhejiang University, Hangzhou 310027, PR China
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Issue 1
Keywords Stress analysis
Stratified material
Free vibration
Mechanical properties
Simple support
Modeling
Electroelasticity
State variable
Heterogeneous material
Equations of state
Isotropic medium
Functionnally graded material
Transverse isotropy
Rectangular plate
Magnetomechanical properties
Coupling
Magnetoelastic effect
Structural analysis
Electromechanical properties
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PublicationTitle Journal of sound and vibration
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Snippet Two independent state equations are established for transversely isotropic magneto-electro-elastic media by introducing proper stress and displacement...
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SubjectTerms Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Title On free vibration of non-homogeneous transversely isotropic magneto-electro-elastic plates
URI https://dx.doi.org/10.1016/j.jsv.2003.10.033
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Volume 279
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