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研究了反平面状态下压电-压磁夹层结构的圣维南端部效应的衰减特征.夹层结构端部的力-电-磁载荷是自平衡的;外层的边界是应力自由的,但承受四种不同的电磁边界条件,即电学短路/磁学短路、电学短路/磁学开路、电学开路/磁学开路和电学开路/磁学短路.基于磁电弹全耦合的控制方程,推导了问题的精确解和关于衰减率的特征方程.利用得到的特征方程,计算了压电-压磁-压电和压磁-压电-压磁两种夹层结构的衰减率,结果表明电磁边界条件、压电层的材料性能和体积分数对衰减特征有显著的影响.作为特例,分析了压电-弹性-压电夹层结构的衰减特征.
The decay characteristics of the Saint-Venant end effect of the piezoelectric-piezomagnetic sandwich structure under anti-plane condition are studied. The force-electro- magnetic load at the end of the sandwich structure is self-balanced; the boundary of the outer layer is stress-free, Four different electromagnetic boundary conditions, namely, electrical short circuit / magnetic short circuit, electrical short circuit / magnetic open circuit, electrical open circuit / magnetic open circuit and electrical open circuit / magnetic short circuit, were derived. And the eigenvalue equation of decay rate.The attenuation rate of piezoelectric-piezomagnetic-piezoelectrics and piezomagnetic-piezocompression-piezomagnetic sandwich was calculated by using the eigenvalue equation.The results show that the electromagnetic boundary conditions, Piezoelectric layer material properties and volume fraction of the attenuation characteristics have a significant impact.As a special case, the piezoelectric-elastic - piezoelectric sandwich structure attenuation characteristics.