壳板叶片的固有特性分析  

Inherent Characteristics of the Cylindrical Panel Blade

作　　者：李红影[1,2] 谢里阳[1] 郭星辉[2] 

机构地区：[1]东北大学机械工程与自动化学院,辽宁沈阳110819 [2]东北大学理学院,辽宁沈阳110819

出　　处：《东北大学学报（自然科学版）》2011年第11期1627-1630,共4页Journal of Northeastern University(Natural Science)

基　　金：创新团队发展计划项目(IRT0816);国家高技术研究发展计划项目(2007AA04Z428)

摘　　要：提出一种计算壳板叶片固有特性的解析方法.将叶片简化成固定在轮盘上的悬臂开口薄壁圆柱壳,采用将已知的轴向悬臂梁的振型函数代入壳板的振型变分方程降为另一方向的常微分方程的方法,解此常微分方程可以求得叶片的静频、动频以及相应的振型函数,并与有限元结果进行了比较.结果表明:提出的求解方法具有较好的计算精度.利用求得的固有频率和振型函数可以进一步研究单叶片或组合叶片的非线性振动特性以及疲劳寿命.An analytical method for calculating the inherent characteristic of cylindrical panel blade was proposed.The blade was simplified as a cantilevered open cylindrical shell mounted on a disc.By making mode shapes function of cantilevered girder in the longitudinal direction substitute for variational equations so as to simplify it into a constant differential equation in the other direction,the natural frequencies and the mode shapes were thus achieved by solving the equation.The results were also compared with that of the FEM.It showed that the analytical method provides high calculation precision.The as-obtained natural frequencies and the mode shape function can be further used to study the nonlinear characteristics and fatigue life of single blade or multi-blades.

关 键 词：悬臂 壳板 叶片 固有频率 振型 

分 类 号：O322[理学—一般力学与力学基础]