Details
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the ASME Turbo Expo: Turbomachinery Technical Conference and Exposition - 2018 |
| Subtitle of host publication | Structures and Dynamics |
| Volume | 7A |
| Publication status | Published - 30 Aug 2018 |
| Event | ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition, GT 2018 - Oslo, Norway Duration: 11 Jun 2018 → 15 Jun 2018 |
Publication series
| Name | Proceedings of the ASME Turbo Expo |
|---|---|
| Volume | 7A-2018 |
Abstract
Bladed Disks are subjected to different types of excitations, which cannot in any case be described in a deterministic manner. Fuzzy factors, such as slightly varying airflow or density fluctuation, can lead to an uncertain excitation in terms of amplitude and frequency, which has to be described by random variables. The computation of frictionally damped blades under random excitation becomes highly complex due to the presence of nonlinearities. Only a few publications are dedicated to this particular problem. Most of these deal with systems of only one or two degrees of freedom and use computational expensive methods, like finite element method (FEM) or finite differences method (FDM), to solve the determining differential equation. The stochastic stationary response of a mechanical system is characterized by the joint probability density function (JPDF), which is driven by the FOKKER-PLANCK equation (FPE). Exact stationary solutions of the FPE only exist for a few classes of mechanical systems. This paper presents the application of a semi-analytical GALERKINtype method to a frictionally damped bladed disk under influence of GAUSSIAN white noise (GWN) excitation in order to calculate its stationary response. One of the main difficulties is the selection of a proper initial approximate solution, which is applicable as a weighting function. Comparing the presented results with those from the FDM, Monte-Carlo Simulation (MCS) as well as analytical solutions proves the applicability of the methodology.
ASJC Scopus subject areas
- Engineering(all)
- General Engineering
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Proceedings of the ASME Turbo Expo: Turbomachinery Technical Conference and Exposition - 2018: Structures and Dynamics. Vol. 7A 2018. GT2018-75755 (Proceedings of the ASME Turbo Expo; Vol. 7A-2018).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Approximate Solution of the Fokker-Planck Equation for a Multi-Degree of Freedom Frictionally Damped Bladed Disk Under Random Excitation
AU - Förster, Alwin
AU - Panning-von Scheidt, Lars
AU - Wallaschek, Jörg
N1 - Publisher Copyright: Copyright © 2018 by ASME. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2018/8/30
Y1 - 2018/8/30
N2 - Bladed Disks are subjected to different types of excitations, which cannot in any case be described in a deterministic manner. Fuzzy factors, such as slightly varying airflow or density fluctuation, can lead to an uncertain excitation in terms of amplitude and frequency, which has to be described by random variables. The computation of frictionally damped blades under random excitation becomes highly complex due to the presence of nonlinearities. Only a few publications are dedicated to this particular problem. Most of these deal with systems of only one or two degrees of freedom and use computational expensive methods, like finite element method (FEM) or finite differences method (FDM), to solve the determining differential equation. The stochastic stationary response of a mechanical system is characterized by the joint probability density function (JPDF), which is driven by the FOKKER-PLANCK equation (FPE). Exact stationary solutions of the FPE only exist for a few classes of mechanical systems. This paper presents the application of a semi-analytical GALERKINtype method to a frictionally damped bladed disk under influence of GAUSSIAN white noise (GWN) excitation in order to calculate its stationary response. One of the main difficulties is the selection of a proper initial approximate solution, which is applicable as a weighting function. Comparing the presented results with those from the FDM, Monte-Carlo Simulation (MCS) as well as analytical solutions proves the applicability of the methodology.
AB - Bladed Disks are subjected to different types of excitations, which cannot in any case be described in a deterministic manner. Fuzzy factors, such as slightly varying airflow or density fluctuation, can lead to an uncertain excitation in terms of amplitude and frequency, which has to be described by random variables. The computation of frictionally damped blades under random excitation becomes highly complex due to the presence of nonlinearities. Only a few publications are dedicated to this particular problem. Most of these deal with systems of only one or two degrees of freedom and use computational expensive methods, like finite element method (FEM) or finite differences method (FDM), to solve the determining differential equation. The stochastic stationary response of a mechanical system is characterized by the joint probability density function (JPDF), which is driven by the FOKKER-PLANCK equation (FPE). Exact stationary solutions of the FPE only exist for a few classes of mechanical systems. This paper presents the application of a semi-analytical GALERKINtype method to a frictionally damped bladed disk under influence of GAUSSIAN white noise (GWN) excitation in order to calculate its stationary response. One of the main difficulties is the selection of a proper initial approximate solution, which is applicable as a weighting function. Comparing the presented results with those from the FDM, Monte-Carlo Simulation (MCS) as well as analytical solutions proves the applicability of the methodology.
UR - http://www.scopus.com/inward/record.url?scp=85054144566&partnerID=8YFLogxK
U2 - 10.1115/GT2018-75755
DO - 10.1115/GT2018-75755
M3 - Conference contribution
SN - 978-0-7918-5113-5
VL - 7A
T3 - Proceedings of the ASME Turbo Expo
BT - Proceedings of the ASME Turbo Expo: Turbomachinery Technical Conference and Exposition - 2018
T2 - ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition, GT 2018
Y2 - 11 June 2018 through 15 June 2018
ER -