摘要
研究了半无限长轴对称压电-压磁夹层结构的圆柱体圣维南端部效应的衰减问题。圆柱的端部承受自平衡磁电弹载荷;圆柱的内外表面为机械自由表面,但承受不同的电磁边界条件,即电学短路或电学开路及磁学短路或磁学开路边界条件。基于横贯各向同性压电或压磁材料在轴对称圆柱坐标系下的本构方程,推导了关于衰减率的特征方程并求得问题的数值解。结果表明,边界条件、内外径之比、材料厚度比对结构的衰减率都有显著的影响。
The decay rates of Saint-Venant end effects for semi-infinite axisymmetric piezoelectric-piezomagnetic cylinder of sandwich structures are studied. The end of the cylinder is subjected to a set of self- equilibrated magneto-electro-elastic loads. The inner and outer surfaces of the cylinder are mechanically free,electrically open or short as well as magnetically open or short. Based on the constitutive equations of the transversely isotropic piezoelectric and piezomagnetie materials in the axisymmetric cylinder coordinate system, the characteristic equations of the decay rate are derived and the numerical solutions are calculated. The results show that the boundary conditions ,ratio of the inner radio to outer radio and the thickness ratio have the notable effects on the decay rates.
出处
《计算力学学报》
CAS
CSCD
北大核心
2013年第5期689-692,共4页
Chinese Journal of Computational Mechanics
基金
国家自然科学基金(10972147)
长江学者和创新团队发展计划(IRT0971)资助项目
关键词
圣维南原理
衰减率
压电-压磁夹层结构
圆柱体
轴对称
Principle of Saint-Venant
decay rate
piezoelectric-piezomagnetic sandwich structure
cylinder
axisymmetric
作者简介
薛雁（1975-），女，博士生（E—mail：15187696@qq．com）；
刘金喜（1961-），男，教授，博士生导师
