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research-article

Rotational Speed-Dependent Contact Formulation for Nonlinear Blade Dynamics Prediction

[+] Author and Article Information
Torsten Heinze

Institute of Dynamics and Vibration Research, Leibniz Universität Hannover, 30167 Hannover, Germany
heinze@ids.uni-hannover.de

Lars Panning-von Scheidt

Institute of Dynamics and Vibration Research, Leibniz Universität Hannover, 30167 Hannover, Germany
panning@ids.uni-hannover.de

Jörg Wallaschek

Institute of Dynamics and Vibration Research, Leibniz Universität Hannover, 30167 Hannover, Germany
wallaschek@ids.uni-hannover.de

Andreas Hartung

MTU Aero Engines AG, 80995 München, Germany
andreas.hartung@mtu.de

1Corresponding author.

ASME doi:10.1115/1.4040843 History: Received June 25, 2018; Revised July 03, 2018

Abstract

Considering rotational speed-dependent stiffness for vibrational analysis of friction-damped bladed disk models has proven to lead to significant improvements in nonlinear frequency response computations. The accuracy of the result is driven by a suitable choice of reduction bases. Multi-model reduction combines various bases which are valid for different parameter values. This composition reduces the solution error drastically. The resulting set of equations is typically solved by means of the harmonic balance method. Nonlinear forces are regularized by a Lagrangian approach embedded in an alternating frequency/time domain method providing the Fourier coefficients for the frequency domain solution. The aim of this paper is to expand the multi-model approach to address rotational speed-dependent contact situations. Various reduction bases derived from composing CMS methods will be investigated with respect to their applicability to capture the changing contact situation correctly. The methods validity is examined based on small academic examples and large-scale industrial blade models. Coherent results show that the multi-model composition works successfully, even if multiple different reduction bases are used per sample point of rotational speed. This is an important issue in case that contact situations for specific values of speed are uncertain forcing the algorithm to automatically choose a suitable representation. Additionally, the randomized singular value decomposition (RSVD) is applied to rapidly extract a multi-model basis. This approach improves the computational performance by orders of magnitude compared to the standard SVD, while preserving the ability to provide a best rank approximation.

Copyright (c) 2018 by ASME
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