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含裂纹旋转叶片结构的振动特征分析
引用本文:赵迪,尚新春.含裂纹旋转叶片结构的振动特征分析[J].武汉大学学报(工学版),2011,44(4):487-491.
作者姓名:赵迪  尚新春
作者单位:1. 北京科技大学土木与环境工程学院,北京,100083
2. 北京科技大学数学力学系,北京100083/北京科技大学国家材料服役安全科学中心,北京100083
基金项目:暨南大学重大工程灾害与控制教育部重点实验室开放基金项目
摘    要:利用铁摩辛柯悬臂梁简化模型分析计算含裂纹旋转叶片结构的固有振动特征.通过传递矩阵法推导出含裂纹悬臂梁固有频率及模态的数学方程式.分别应用传递矩阵法和有限单元法对实际悬臂梁的固有频率和模态进行计算,比较两种计算结果的差异和变化趋势.最后分析裂纹的位置和尺寸对固有频率和模态的影响.计算结果表明:传递矩阵方法能够很好地描述结构的固有振动特征,为实际工程应用提供有效的解析计算方法.

关 键 词:旋转叶片  裂纹梁  传递矩阵  固有频率

Analysis of vibration characteristics of rotating blade with cracks
ZHAO Di,SHANG Xinchun.Analysis of vibration characteristics of rotating blade with cracks[J].Engineering Journal of Wuhan University,2011,44(4):487-491.
Authors:ZHAO Di  SHANG Xinchun
Affiliation:ZHAO Di1,SHANG Xinchun2,3(1.School of Civil and Environment Engineering,University of Science and Technology Beijing,Beijing 100083,China,2.School of Applied Science,3.National Center for Materials Service Safety,China)
Abstract:The resonant vibration characteristics of rotating cracked blade is analyzed on the bases of Timoshenko cantilever beam theory.The natural frequency and the mode functions of the cracked cantilever beam are computed by the means of transfer matrix method.The resonant frequency and the mode functions of real cantilever beam were calculated through transfer matrix way and finite element method respectively;then the differences between the two results and the changing trends were compared.Finally,the influence...
Keywords:rotating blade  cracked beam  transfer matrix  natural frequency  
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