含固支边的压电层合开口圆柱壳的精确解法  

ANALYTICAL SOLUTION FOR LAMINATED PIEZOELECTRIC CYLINDRICAL OPEN SHELLS WITH CLAMPED EDGES

作　　者：刘艳红[1] 陈庆远[1] 卿光辉[1] 

机构地区：[1]中国民航大学航空工程学院,天津300300

出　　处：《机械强度》2010年第6期946-952,共7页Journal of Mechanical Strength

基　　金：天津市自然科学基金资助项目(07JCYBJC02100)~~

摘　　要：通过柱坐标系下压电材料的广义Hellinger-Reissner变分原理,推导压电开口圆柱壳的非齐次状态方程,然后假设边界应力函数,建立含固支边压电开口圆柱壳的非齐次状态方程,接着应用增维方法将非齐次状态方程转化为齐次状态方程,最后采用状态转移矩阵技术,得出含固支边的压电层合开口圆柱壳的齐次状态方程。齐次状态方程的求解避免了求解非齐次状态方程过程中的矩阵求逆运算,有利于程序的实现和数值运算稳定性的提高,大大地提高了计算效率。数值算例表明文中方法是有效的。Firstly,the non-homogeneous state equation of piezoelectric cylindrical open shells was derived from Hellinger-Reissner mixed variational principle in the cylindrical coordinate system.And then,non-homogeneous state equation for the piezoelectric cylindrical open shells with clamped edges was established by assuming boundary stress function.Finally the non-homogeneous state equation was transformed into the homogeneous state equation by employing the dimensional expanding method,and the homogeneous state eq...

关 键 词：压电层合开口壳 非齐次状态方程 齐次状态方程 增维方法 

分 类 号：TM22[一般工业技术—材料科学与工程]