Analytical formulation of friction contact elements for frequency-domain analysis of nonlinear vibrations of structures with high-energy rubs

Petrov, E P (2019) Analytical formulation of friction contact elements for frequency-domain analysis of nonlinear vibrations of structures with high-energy rubs. Journal of Engineering for Gas Turbines and Power, 141 (12). a121006. ISSN 0742-4795

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Abstract

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.

Item Type: Article
Keywords: Nonlinear vibrations, Friction, Rubbing, Bladed disks
Schools and Departments: School of Engineering and Informatics > Engineering and Design
Research Centres and Groups: Dynamics, Control and Vehicle Research Group
Subjects: T Technology > TJ Mechanical engineering and machinery
T Technology > TL Motor vehicles. Aeronautics. Astronautics
Depositing User: Yevgen Petrov
Date Deposited: 11 Sep 2019 10:24
Last Modified: 20 Jan 2020 12:45
URI: http://sro.sussex.ac.uk/id/eprint/86100

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