Details
| Original language | English |
|---|---|
| Title of host publication | Structures and Dynamics |
| Subtitle of host publication | Probabilistic Methods; Rotordynamics; Structural Mechanics and Vibration |
| Publisher | American Society of Mechanical Engineers(ASME) |
| ISBN (electronic) | 9780791886076 |
| Publication status | Published - 28 Oct 2022 |
| Event | ASME Turbo Expo 2022: Turbomachinery Technical Conference and Exposition, GT 2022 - Rotterdam, Netherlands Duration: 13 Jun 2022 → 17 Jun 2022 |
Publication series
| Name | Proceedings of the ASME Turbo Expo |
|---|---|
| Volume | 8-B |
Abstract
Stochastic excitation is a rarely discussed topic regarding the vibrational behavior of turbine blades. While the calculation of stochastic quantities describing the stochastic steady-state vibration response is comparatively straightforward in the linear case, it becomes much more challenging in the case of nonlinear couplings. A method suitable for calculating approximations of the stochastic steady-state vibration response is the equivalent linearization method. However, the efficiency of this method decreases with an increasing number of degrees of freedom. This is especially challenging if the number of nonlinearly coupled degrees of freedom is large, as in the case of an extended contact interface, such as a shroud contact. While the uncoupled part of the system can be reduced using a component mode synthesis, the remaining nonlinear interface degrees of freedom have to remain unreduced to evaluate the nonlinear forces. To address this problem, this paper presents an approach to reduce the interface degrees of freedom within the framework of the equivalent linearization method. The presented method is based on a representation of the dynamics of the contact interface by means of a reduced set of Legendre polynomials. However, the evaluation of the nonlinear force still takes place in physical coordinates. The presented procedure is demonstrated using a beam model with different contact pairings as well as a more realistic model of a bladed disk assembly.
ASJC Scopus subject areas
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Structures and Dynamics: Probabilistic Methods; Rotordynamics; Structural Mechanics and Vibration. American Society of Mechanical Engineers(ASME), 2022. V08BT27A001 (Proceedings of the ASME Turbo Expo; Vol. 8-B).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Interface Reduction in an Equivalent Linearization Algorithm for Nonlinearly Coupled Systems Under Random Excitation
AU - Förster, Alwin
AU - Panning-von Scheidt, Lars
N1 - Funding Information: The investigations were conducted as part of the joint research program SchauTex in the frame of AG Turbo. The work was supported by the Bundesministerium für Wirtschaft und En-ergie (BMWi) as per resolution of the German Bundestag under grant number 03424292D. The authors gratefully acknowledge MAN Energy Solutions, MTU Aero Engines and Siemens En- ergy for their support and permission to publish this paper. The responsibility for the content lies solely with its authors.
PY - 2022/10/28
Y1 - 2022/10/28
N2 - Stochastic excitation is a rarely discussed topic regarding the vibrational behavior of turbine blades. While the calculation of stochastic quantities describing the stochastic steady-state vibration response is comparatively straightforward in the linear case, it becomes much more challenging in the case of nonlinear couplings. A method suitable for calculating approximations of the stochastic steady-state vibration response is the equivalent linearization method. However, the efficiency of this method decreases with an increasing number of degrees of freedom. This is especially challenging if the number of nonlinearly coupled degrees of freedom is large, as in the case of an extended contact interface, such as a shroud contact. While the uncoupled part of the system can be reduced using a component mode synthesis, the remaining nonlinear interface degrees of freedom have to remain unreduced to evaluate the nonlinear forces. To address this problem, this paper presents an approach to reduce the interface degrees of freedom within the framework of the equivalent linearization method. The presented method is based on a representation of the dynamics of the contact interface by means of a reduced set of Legendre polynomials. However, the evaluation of the nonlinear force still takes place in physical coordinates. The presented procedure is demonstrated using a beam model with different contact pairings as well as a more realistic model of a bladed disk assembly.
AB - Stochastic excitation is a rarely discussed topic regarding the vibrational behavior of turbine blades. While the calculation of stochastic quantities describing the stochastic steady-state vibration response is comparatively straightforward in the linear case, it becomes much more challenging in the case of nonlinear couplings. A method suitable for calculating approximations of the stochastic steady-state vibration response is the equivalent linearization method. However, the efficiency of this method decreases with an increasing number of degrees of freedom. This is especially challenging if the number of nonlinearly coupled degrees of freedom is large, as in the case of an extended contact interface, such as a shroud contact. While the uncoupled part of the system can be reduced using a component mode synthesis, the remaining nonlinear interface degrees of freedom have to remain unreduced to evaluate the nonlinear forces. To address this problem, this paper presents an approach to reduce the interface degrees of freedom within the framework of the equivalent linearization method. The presented method is based on a representation of the dynamics of the contact interface by means of a reduced set of Legendre polynomials. However, the evaluation of the nonlinear force still takes place in physical coordinates. The presented procedure is demonstrated using a beam model with different contact pairings as well as a more realistic model of a bladed disk assembly.
UR - http://www.scopus.com/inward/record.url?scp=85141416318&partnerID=8YFLogxK
U2 - 10.1115/gt2022-78367
DO - 10.1115/gt2022-78367
M3 - Conference contribution
AN - SCOPUS:85141416318
T3 - Proceedings of the ASME Turbo Expo
BT - Structures and Dynamics
PB - American Society of Mechanical Engineers(ASME)
T2 - ASME Turbo Expo 2022: Turbomachinery Technical Conference and Exposition, GT 2022
Y2 - 13 June 2022 through 17 June 2022
ER -