Techno Press
Techno Press

Smart Structures and Systems
  Volume 3, Number 2, April 2007 , pages 173-188
DOI: https://doi.org/10.12989/sss.2007.3.2.173
 

Analytical solutions for density functionally gradient magneto-electro-elastic cantilever beams
Aimin Jian and Haojiang Ding

 
Abstract
    The general solution for two-dimensional magneto-electro-elastic media in terms of four harmonic displacement functions is proposed analytically. The expressions of specific solutions of magneto-electro-elastic plane problems with specific body forces are derived. Finally, based on the general solution in the case of distinct eigenvalues and the specific solution for density functionally gradient media, two kinds of beam problems with body forces depending only on the z or x coordinate are solved by the trial-and-error method.
 
Key Words
    general solution; magneto-electro-elastic plane; density functionally gradient media; analytical solutions.
 
Address
Aimin Jiang; Department of Civil Engineering, Zhejiang University, Hangzhou, 310027, P. R. China
Department of Civil Engineering, Quzhou College, Zhejiang, 324000, P. R. China
Haojiang Ding; Department of Civil Engineering, Zhejiang University, Hangzhou, 310027, P. R. China
 
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