摘要
基于拉格朗日和欧拉框架,该文对压电层合曲梁在力电载荷下的有限变形进行了分析。以梁曲率半径和弧切角为基本参数,首先推导了压电曲梁在外载荷作用下的控制方程;然后将控制方程简化为只含弧切角参变量的形式;并利用谐函数对方程进行了求解。最后以圆弧曲梁为研究对象,利用该文的方法进行了分析,通过与有限元法进行比较,验证了所提方法的有效性。
Based on Lagrangian and Eulerian description,the finite deformation is analyzed for piezoelectric laminated curved beams under mechanical and electrical static loading.Choosing the deformed radius of curvature and tangent slope angle as fundamental parameters,the governing equations of laminated curved smart beam under mechanical and electrical static loading are derived.Firstly the equilibrium equations are deduced by using the deformed angle of tangent slope as the only variant.Then the analytical solutions of laminated curved smart beams are presented using harmonic functions.Finally the static deformations of the laminated curved smart beams are calculated by this method and the finite element method.The results show the validation of the presented method.
出处
《压电与声光》
CAS
CSCD
北大核心
2016年第1期88-93,共6页
Piezoelectrics & Acoustooptics
基金
湖南省高校科学研究基金资助项目(12B054)
关键词
压电层合曲梁
压电材料
有限变形
变曲率
有限元
piezoelectric laminated curved beam
piezoelectric
finite deformation
variable curvature
finite element
