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Structural Engineering and Mechanics Volume 18, Number 2, August 2004 , pages 195-209 DOI: https://doi.org/10.12989/sem.2004.18.2.195 |
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Analytical solutions to magneto-electro-elastic beams |
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Aimin Jiang and Haojiang Ding
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| Abstract | ||
| By means of the two-dimensional basic equations of transversely isotropic magneto-electro-elastic media and the strict differential operator theorem, the general solution in the case of distinct eigenvalues is derived, in which all mechanical, electric and magnetic quantities are expressed in four harmonic displacement functions. Based on this general solution in the case of distinct eigenvalues, a series of problems is solved by the trial-and-error method, including magneto-electro-elastic rectangular beam under uniform tension, electric displacement and magnetic induction, pure shearing and pure bending, cantilever beam with point force, point charge or point current at free end, and cantilever beam subjected to uniformly distributed loads. Analytical solutions to various problems are obtained. | ||
| Key Words | ||
| general solution; magneto-electro-elastic plane; harmonic function; analytical solution. | ||
| Address | ||
| Aimin Jiang; West Branch of Zhejiang University of Technology, Quzhou 324006, P.R. China Haojiang Ding; Department of Civil Engineering, Zhejiang University, Hangzhou 310027, P.R. China | ||