Bifurcation; Continuation method; Finite element; Harmonic balance method; Rubbing; Turbomachinery; Bifurcation structures; Continuation techniques; Frequency response functions; Harmonic Balance method; Imperfect bifurcations; Numerical efficiency; Control and Systems Engineering; Aerospace Engineering; Ocean Engineering; Mechanical Engineering; Electrical and Electronic Engineering; Applied Mathematics
Abstract :
[en] The analysis of whole engine rotordynamic models is an important element in the design of aerojet engines. The models include gyroscopic effects and allow for rubbing contact between rotor and stator components such as bladed discs and casing. Due to the nonlinearities inherent to the system, bifurcations in the frequency response may arise. Reliable and efficient methods to determine the bifurcation points and solution branches are required. For this purpose, a multi-harmonic balance approach is presented that allows a numerically efficient detection of bifurcation points and the calculation of both continuous and isolated branches of the frequency response functions. The method is applied to a test case derived from a commercial aeroengine. A bifurcation structure with continuous and isolated solution branches is observed and studied in this paper. The comparison with time marching based on simulations shows both accuracy and numerical efficiency of the newly developed approach.
Salles, Loïc ; Université de Liège - ULiège > Aérospatiale et Mécanique (A&M) ; Department of Mechanical Engineering, Vibration University Technology Centre, Imperial College London, London, United Kingdom
Staples, Bernard; Rolls-Royce plc, Derby, United Kingdom
Hoffmann, Norbert; Department of Mechanical Engineering, Vibration University Technology Centre, Imperial College London, London, United Kingdom
Schwingshackl, Christoph; Department of Mechanical Engineering, Vibration University Technology Centre, Imperial College London, London, United Kingdom
Language :
English
Title :
Continuation techniques for analysis of whole aeroengine dynamics with imperfect bifurcations and isolated solutions
The authors are grateful to Innovate UK and Rolls-Royce Plc. for providing the financial support for this work and for giving permission to publish it.
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