GTP-19-1586.pdf (2.33 MB)
Analytical formulation of friction contact elements for frequency-domain analysis of nonlinear vibrations of structures with high-energy rubs
In gas-turbine engines and other rotating machinery structures rubbing contact interactions can occur when the contacting components have large relative motion between components: such as in rotating bladed disc-casing rubbing contacts, rubbing in rotor bearing and labyrinth seals, etc. The analysis of vibrations of structures with rubbing contacts requires the development of a mathematical model and special friction contact elements that would allow for the prescribed relative motion of rubbing surfaces in addition to the motion due to vibrations of the contacting components. In the proposed paper, the formulation of the friction contact elements is developed which includes the effects of the prescribed relative motion on the friction stick-slip transitions and, therefore, on the contact interaction forces. For a first time, the formulation is made for the frequency domain analysis of coupled rubbing and vibrational motion, using the multiharmonic representation of the vibration displacements. The formulation is made fully analytically to express the multiharmonic contact interaction forces and multiharmonic tangent stiffness matrix in an explicit analytical form allowing their calculation accurately and fast. The dependency of the friction and contact stiffness coefficients on the energy dissipated during high-energy rubbing contacts and, hence, on the corresponding increase of the contact interface temperature is included in the formulation. The efficiency of the developed friction elements is demonstrated on a set of test cases including simple models and a large-scale realistic blade.
History
Publication status
- Published
File Version
- Accepted version
Journal
Journal of Engineering for Gas Turbines and PowerISSN
0742-4795Publisher
American Society of Mechanical EngineersExternal DOI
Issue
12Volume
141Article number
a121006Department affiliated with
- Engineering and Design Publications
Research groups affiliated with
- Dynamics, Control and Vehicle Research Group Publications
Full text available
- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2019-09-11First Open Access (FOA) Date
2020-11-09First Compliant Deposit (FCD) Date
2019-09-10Usage metrics
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