Structural Engineering and Mechanics

  • 제23권5호
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  • Pages.525-542
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  • 2006
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Spherically symmetric transient responses of functionally graded magneto-electro-elastic hollow sphere

  • Wang, H.M. (Department of Mechanics, Zhejiang University) ;
  • Ding, H.J. (Department of Civil Engineering, Zhejiang University)
  • 투고 : 2005.10.31
  • 심사 : 2006.03.10
  • 발행 : 2006.07.30
⟨ 이전 논문 다음 논문 ⟩

초록

On the basis of equilibrium equations for static electric and magnetic fields, two unknown functions related to electric and magnetic fields were firstly introduced to rewrite the governing equations, boundary conditions and initial conditions for mechanical field. Then by introducing a dependent variable and a special function satisfying the inhomogeneous mechanical boundary conditions, the governing equation for a new variable with homogeneous mechanical boundary conditions is obtained. By using the separation of variables technique as well as the electric and magnetic boundary conditions, the dynamic problem of a functionally graded magneto-electro-elastic hollow sphere under spherically symmetric deformation is transformed to two Volterra integral equations of the second kind about two unknown functions of time. Cubic Hermite polynomials are adopted to approximate the two undetermined functions at each time subinterval and the recursive formula for solving the integral equations is derived. Transient responses of displacements, stresses, electric and magnetic potentials are completely determined at the end. Numerical results are presented and discussed.

키워드

참고문헌

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  5. A unified formulation for vibration analysis of functionally graded shells of revolution with arbitrary boundary conditions vol.50, 2013, https://doi.org/10.1016/j.compositesb.2013.02.028
  6. Elastic and viscoelastic response of heterogeneous annular structures under arbitrary transient pressure vol.89, 2014, https://doi.org/10.1016/j.ijmecsci.2014.08.021
  7. Transient Thermal Stress Problem of a Functionally Graded Magneto-Electro-Thermoelastic Hollow Sphere vol.4, pp.12, 2011, https://doi.org/10.3390/ma4122136
  8. Free vibration and static analysis of functionally graded skew magneto-electro-elastic plate vol.21, pp.4, 2006, https://doi.org/10.12989/sss.2018.21.4.493