Abstract:

Based on sheet bending theory, the dynamic characteristics of a cantilever sheet were studied by the beam function combination method. Considering the centrifugal force, the obtained analytical solutions of frequency and mode shape  might be applied to cantilever sheet. The theoretical foundation of the frequency and mode shape research on cantilever sheet were obtained. A new method of investigation of frequencies veering was presented. The obtained frequency and mode shape solutions are rather practical for the blade fatigue detection.

Key words: centrifugal force, temperature effect, rotating blade, frequency veering

摘要：

基于薄板弯曲理论，采用梁函数组合法对叶片进行动力特性分析,推导了变转速状态下叶片频率和振型的解析解的一般表达式,提出了在离心力场和温度场效应下研究叶片“频率转向”的一种方法,建立了计算叶片各阶频率和振型的理论依据。研究结果对提高叶片疲劳检测效率具有意义。

关键词: 离心力, 热载荷, 旋转叶片, 频率转向