计算旋转叶片动态频率的一种新方法  

A new method for computing dynamic frequencies of rotating blade

作　　者：王伯平[1] 翟敬宇[2] 韩清凯[3] 刘滨春[1] 杨永志[1] 

机构地区：[1]空军航空大学航空理论系,吉林长春130022 [2]东北大学机械工程与自动化学院,辽宁沈阳110819 [3]大连理工大学机械工程学院,辽宁大连116024

出　　处：《福州大学学报（自然科学版）》2013年第5期897-902,共6页Journal of Fuzhou University(Natural Science Edition)

基　　金：国家重点基础研究发展计划资助项目(2012CB026000);国家自然科学基金资助项目(51175070)

摘　　要：针对旋转叶片的结构和工作特点,基于旋转态下的悬臂梁理论,建立了考虑叶片离心力作用的动力学方程.采用梁函数法推导了在变转速状态下悬臂梁频率的解析表达式,进而确定了叶片在离心力作用下的固有频率随转速的变化规律,获得了叶片动频率、静频率与转速之间的关系,得到了一种新的叶片动频系数公式.最后,采用解析法和经验公式法分别计算某叶片的前三阶动频,结果表明该方法的合理性.Based on the cantilever beam theory in the state of rotary, the dynamic equation of the blade is established. A cantilever beam frequency analytical expression is deduced by using the beam function method. The change rules of blade frequency under varying rotating speed and the action of centrifugal force are researched. The mathematical relationship between the dynamic frequency, static frequency and rotating frequency coefficients are also qualitatively analyzed and the expressions of dy- namic frequency are obtained. The first three dynamic frequencies of the blade are calculated by ana- lytical method and empirical formula respectively. The results indicate that the numerical results by this method are consistent with the results through empirical formula.

关 键 词：旋转叶片 动频率 动频系数 

分 类 号：TH133[机械工程—机械制造及自动化] O327[理学—一般力学与力学基础]