Analytical solutions to magneto-electro-elastic beams
Analytical solutions to magneto-electro-elastic beams
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DOI：
10.12989/sem.2004.18.2.195
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发表时间：
2004-08
影响因子：
2.2
通讯作者：
A. Jiang;H. Ding
中科院分区：
文献类型：
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作者：
A. Jiang;H. Ding
本文从横观各向同性电磁弹性介质的二维基本方程出发，利用严格微分算子定理，导出了特征值不同情况下的通解，其中所有力、电、磁量均用四个简谐位移函数表示。在此基础上，用试凑法求解了一系列问题，包括均匀拉伸、电位移和磁感应、纯剪切和纯弯曲作用下的磁电弹性矩形梁，自由端受点力、点电荷或点电流作用的悬臂梁，以及均布载荷作用下的悬臂梁。各种问题的解析解。
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.