Dynamic Characteristics Analysis of a Rod Fastening Rotor System Considering Contact Roughness
Abstract
:1. Introduction
2. Dynamics Modeling of Rod Fastening Rotor
3. Characterization of Contact Stiffness of Joint’s Interface
- (1)
- The isotropic fractal characteristics of each grade asperity are considered.
- (2)
- The interaction between each level of asperity is ignored.
- (3)
- The material hardening phenomenon induced by contact deformation is not taken into consideration.
- (4)
- The contact behavior in the normal direction is only taken account.
3.1. Contact of Joint’s Interface
3.2. Size Distribution Function
3.3. Contact Load and Normal Contact Stiffness
4. Results and Discussion
4.1. Normal Contact Stiffness of Joint’s Interface
4.2. Dynamic Characteristics of Rod Fastening Rotor System
5. Conclusions
- (1)
- For the rod fastening rotor system, its dynamic characteristics are different from that of a traditional integral rotor system due to the contact effects of the joint’s interface.
- (2)
- The contact stiffness of the joint’s interface is closely related to the grade of asperities and the fractal parameters. The contact stiffness increases with an increase in the fractal dimension and a decrease in the characteristic length scale, respectively.
- (3)
- For the rod fastening rotor, the roughness of the joint’s interface can directly affect the dynamic characteristics and natural frequency of the system. Because the fractal parameters of the joint’s interface are mainly determined by the contact roughness, the natural frequencies of the system are changed accordingly.
- (4)
- During the dynamic analysis of the rod fastening rotor system, both the structural stiffness of the flexible shaft and the contact stiffness of the joint’s interface should be taken into consideration.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Nomenclature
, | Bending stiffness of the shaft |
, | Mass of discs 1 and 2 |
Elastic modulus of the shaft | |
Length of shaft | |
Height of the surface profile | |
Fractal dimension of surface profile | |
Length scale of a surface | |
Frequency spectrum of surface roughness | |
Frequency index of surface profile | |
Length scale of asperity | |
Radius of asperity | |
Deformation of single asperity | |
Material hardness | |
Critical elastic deformation | |
Hardness coefficient | |
, | Elastic modulus of hard and soft materials |
, | Poisson’s ratio of hard and soft materials |
Critical contact area at the elastic stage | |
Critical contact load at the elastic stage | |
Maximum contact area of asperities | |
Real contact area of joint’s interface | |
Contact load of the joint’s interface | |
Contact load of elastic deformation | |
Contact load of elastoplastic deformation | |
Contact load of elastoplastic deformation | |
Contact load of plastic deformation | |
Critical elastoplastic contact area | |
Critical plastic contact area | |
Normal contact stiffness | |
Contact stiffness of elastic deformation | |
Contact stiffness of elastoplastic deformation | |
Contact stiffness of elastoplastic deformation | |
Contact stiffness of plastic deformation | |
Dimensionless contact load | |
Dimensionless contact stiffness | |
Bending stiffness of interface | |
Actual second moment of area |
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Fractal dimension | 1.34 |
Characteristic length scale (m) | |
Grade of asperity | |
Equivalent elastic modulus (GPa) | 115.4 |
Hardness (GPa) | 6.1 |
Poisson’s ratio | 0.3 |
Disc mass (kg) | 29.18 |
Disc radius (mm) | 100 |
Shaft length (mm) | 448.8 |
Shaft radius (mm) | 30 |
Shaft elastic modulus (GPa) | 210 |
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Zhao, W.; Gao, Y.; Ren, X.; Lu, K.; Yang, Y. Dynamic Characteristics Analysis of a Rod Fastening Rotor System Considering Contact Roughness. Appl. Sci. 2023, 13, 5009. https://doi.org/10.3390/app13085009
Zhao W, Gao Y, Ren X, Lu K, Yang Y. Dynamic Characteristics Analysis of a Rod Fastening Rotor System Considering Contact Roughness. Applied Sciences. 2023; 13(8):5009. https://doi.org/10.3390/app13085009
Chicago/Turabian StyleZhao, Wei, Yang Gao, Xiu Ren, Kuan Lu, and Yang Yang. 2023. "Dynamic Characteristics Analysis of a Rod Fastening Rotor System Considering Contact Roughness" Applied Sciences 13, no. 8: 5009. https://doi.org/10.3390/app13085009