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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