Natural frequencies and vibration modes of axial compressor blades are investigated. A refined mathematical model based on the usage of an eight-nodal curvilinear isoparametric finite element was applied. The verification of the model is carried out by finding the frequencies and vibration modes of a smooth cylindrical shell and comparing them with experimental data. A high-precision experimental setup based on an advanced method of time-dependent electronic interferometry was developed for this aim. Thus, the objective of the study is to verify the adequacy of the refined mathematical model by means of the advanced time-dependent electronic interferometry experimental method. The divergence of the results of frequency measurements between numerical calculations and experimental data does not exceed 5 % that indicates the adequacy and high reliability of the developed mathematical model. The developed mathematical model and experimental setup can be used later in the study of blades with more complex geometric and strength characteristics or in cases when the real boundary conditions or mechanical characteristics of material are uncertain.

中文翻译：

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轴流压气机叶片的模态分析：先进的时变电子干涉法和有限元方法

研究了轴向压缩机叶片的固有频率和振动模式。应用了基于八节点曲线等参有限元的精炼数学模型。通过找到光滑圆柱壳的频率和振动模式并将其与实验数据进行比较来进行模型验证。为此目的，开发了一种基于时变电子干涉测量的先进方法的高精度实验装置。因此，本研究的目的是通过先进的时变电子干涉法实验方法验证精制数学模型的适当性。数值计算和实验数据之间的频率测量结果差异不超过5％，这表明所开发的数学模型具有足够的可靠性。所开发的数学模型和实验设置可稍后用于研究具有更复杂的几何和强度特性的叶片，或者用于不确定实际边界条件或材料的机械特性的情况。