Modal Analysis of the Axial Compressor Blade: Advanced Time-Dependent Electronic Interferometry and Finite Element Method
-
Mykhaylo Tkach
,
Yuri Zolotoy
Abstract
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.
Nomenclature
- λ
-
light wavelength λ, μm
- Q
-
pulse duty ratio
- φ
-
amplitude displacement of the blade
- I
-
brightness value
- L
-
Lagrange function
- П
-
potential energy of the finite element deformation
- T
-
kinetic energy of the element vibration
- qi
-
generalized coordinate of the finite element i-th node
- k
-
number of the finite element nodes
- [K]
-
finite element stiffness matrix
- {u}
-
vector of element nodes generalized movements
- [M]
-
finite element mass matrix
- f
-
natural vibration frequency
- H
-
number of finite elements model degrees of freedom
- x, y, z
-
Cartesian coordinates
- N
-
finite element shape functions
- ρ
-
density, kg/m3
- E
-
Young’s modulus, MPa
- ϑ
-
Poisson’s ratio
- m, n
-
wave numbers
- l
-
blade height, mm
- b
-
blade feather chord, mm
- cmax
-
blade feather thickness, mm
- α
-
blade feather twist angle, degree
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Articles in the same Issue
- Frontmatter
- Original Research Articles
- Novel Closed-Form Equation for Critical Pressure and Optimum Pressure Ratio for Turbojet Engines
- Development of Combustor for a Hybrid Turbofan Engine
- A Parametric Study of Hydrogen Fuel Effects on Exergetic, Exergoeconomic and Exergoenvironmental Cost Performances of an Aircraft Turbojet Engine
- A Model Reference Adaptive Sliding Mode Control Method for Aero-Engine
- Numerical Study of Mixing Enhancement in 2D Supersonic Ejector
- Flow Development Through An S-Shaped Diffusing Duct
- Nozzle Geometry Effect on Twin Jet Flow Characteristics
- Application of Proper Orthogonal Decomposition Method in Unsteady Flow Field Analysis of Axial High Bypass Fan
- A Research on Aero-engine Control Based on Deep Q Learning
- Blade Number Selection for a Splittered Mixed-Flow Compressor Impeller Using Improved Loss Model
- Study of Correctly Expanded Sonic Jet with Air Tabs
- Large-Eddy Simulation of Shaped Hole Film Cooling with the Influence of Cross Flow
- Modal Analysis of the Axial Compressor Blade: Advanced Time-Dependent Electronic Interferometry and Finite Element Method
- Exergy Analysis of a Turboprop Engine at Different Flight Altitude and Speeds Using Novel Consideration
- Thermal Optimization Design of Heat Exchanger in Supersonic Engine with Parameters’ Fluctuation
Articles in the same Issue
- Frontmatter
- Original Research Articles
- Novel Closed-Form Equation for Critical Pressure and Optimum Pressure Ratio for Turbojet Engines
- Development of Combustor for a Hybrid Turbofan Engine
- A Parametric Study of Hydrogen Fuel Effects on Exergetic, Exergoeconomic and Exergoenvironmental Cost Performances of an Aircraft Turbojet Engine
- A Model Reference Adaptive Sliding Mode Control Method for Aero-Engine
- Numerical Study of Mixing Enhancement in 2D Supersonic Ejector
- Flow Development Through An S-Shaped Diffusing Duct
- Nozzle Geometry Effect on Twin Jet Flow Characteristics
- Application of Proper Orthogonal Decomposition Method in Unsteady Flow Field Analysis of Axial High Bypass Fan
- A Research on Aero-engine Control Based on Deep Q Learning
- Blade Number Selection for a Splittered Mixed-Flow Compressor Impeller Using Improved Loss Model
- Study of Correctly Expanded Sonic Jet with Air Tabs
- Large-Eddy Simulation of Shaped Hole Film Cooling with the Influence of Cross Flow
- Modal Analysis of the Axial Compressor Blade: Advanced Time-Dependent Electronic Interferometry and Finite Element Method
- Exergy Analysis of a Turboprop Engine at Different Flight Altitude and Speeds Using Novel Consideration
- Thermal Optimization Design of Heat Exchanger in Supersonic Engine with Parameters’ Fluctuation
