Nonsmooth Thermoelastic Simulations of Blade-Casing Contact Interactions

Thorin, Anders; Guérin, Nicolas; Legrand, Mathias; Thouverez, Fabrice; Almeida, Patricio

doi:10.1115/gt2018-75959

Cited by 4 publications

(11 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The penalty approach is known to induce numerical stiffness [21,22,1]. The forward Lagrange multiplier method relies on an explicit scheme which suffers from stability limitations, especially coping with a thermomechanical model [17]. However, a robust numerical method dedicated to nonsmooth problems, namely, the Moreau-Jean scheme [22], is employed in the present work.…”

Section: Thermomechanical Contactmentioning

confidence: 99%

“…However, a robust numerical method dedicated to nonsmooth problems, namely, the Moreau-Jean scheme [22], is employed in the present work. Its description is detailed in a companion paper [17]. Contact conditions are incorporated via a signed gap function g.u/.…”

Section: Thermomechanical Contactmentioning

confidence: 99%

“…Attention is now paid to the performance of the thermomechanical reduced models in practical use, that is simulations of time evolutions. Again, the numerical method employed to enforce the contact conditions are detailed in [17]. Results are provided for boundary node 3.…”

Section: Thermomechanical Contact Simulationsmentioning

confidence: 99%

“…As for the reduction process, the simulation of thermomechanical contact problems poses modeling and solving issues. The robust treatment of unilateral contact conditions inspired by numerical methods developed in nonsmooth dynamics is detailed in a companion paper [17]. The model of interest is first introduced (section 1), then the reduction methodology is described (section 2).…”

Section: Introductionmentioning

confidence: 99%

“…A validation analysis is now conducted through comparison with other existing methods. Unless stated otherwise, results are presented for a time step h D 10 5 s as in the companion paper[17] and m u D 10.…”

mentioning

confidence: 99%

See 4 more Smart Citations

Thermomechanical Model Reduction for Efficient Simulations of Rotor-Stator Contact Interaction

Guérin

Thorin

Thouverez

et al. 2018

Journal of Engineering for Gas Turbines and Power

Self Cite

View full text Add to dashboard Cite

Turbomachinery rotor–stator unilateral contact induced interactions play a growing role in lifecycle analysis and thus motivate the use of accurate numerical prediction tools. Recent literature confirmed by ongoing in-house experiments have shown the importance of thermomechanical coupling effects in such interactions. However, most available (possibly reduced-order) models are restricted to the sole mechanical aspects. This work describes a reduction technique of thermomechanical models involving unilateral contact and frictional contact occurrences between rotor and stator components. The proposed methodology is grounded on Guyan and Craig–Bampton methods for the reduction of the structural dynamics in conjunction with Krylov subspace techniques, and specifically the Craig–Hale approach, for the reduction of the thermal equations. The method has the capability to drastically reduce the size of the model while preserving accuracy. It stands as a reliable strategy to perform simulations of thermomechanical models with localized mechanical and thermal loads.

show abstract

Section: Thermomechanical Contactmentioning

confidence: 99%

Section: Thermomechanical Contactmentioning

confidence: 99%

Section: Thermomechanical Contact Simulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Thermomechanical Model Reduction for Efficient Simulations of Rotor-Stator Contact Interaction

Guérin

Thorin

Thouverez

et al. 2018

Journal of Engineering for Gas Turbines and Power

Self Cite

View full text Add to dashboard Cite

show abstract

Development of a Harmonic Balance Method-Based Numerical Strategy for Blade-Tip/Casing Interactions: Application to NASA Rotor 37

Colaïtis

Batailly

2021

Volume 9B: Structures and Dynamics — Fatigue, Fracture, and Life Prediction; Probabilistic Methods; Rotordynamics; Structural M

View full text Add to dashboard Cite

In this study, a frequency-domain approach based on the harmonic balance method coupled to a predictor-corrector continuation algorithm is implemented for the qualitative analysis of blade-tip/casing contacts in aircraft engines. Unilateral contact and dry friction are taken into account through a regularized penalty law. To enhance the robustness of the methodology, particular attention is paid to the mitigation of the Gibbs phenomenon. To this end, the employed Alternating Frequency/Time scheme features a Lanczos σ-approximation so that spurious oscillations of the computed nonlinear contact forces become negligible. This approach is applied in combination with a model reduction technique on an industrial compressor blade: NASA rotor 37. In order to assess the influence of both the contact law regularization and the Lanczos σ-approximation, obtained results are thoroughly compared to an existing time integration-based numerical strategy relying on a Lagrange multiplier-based approach for contact treatment and that was previously confronted to experimental results. Presented results underline the very good agreement between the proposed methodology and the reference time integration numerical strategy. The proposed developments thus complement existing results on blade-tip/casing contact adding a much needed qualitative understanding of the interaction and an accurate assessment of the contact stiffening phenomenon.

show abstract

A Harmonic Balance-based Method to Predict Nonlinear Forced Response and Temperature Rise of Dry Friction Systems Including Frictional Heat Transfer

Gao

Fan

et al. 2023

Preprint

View full text Add to dashboard Cite

Dry friction dampers in turbomachinery not only decrease the vibration level, but also generates frictional heat. This thermal process may cause a significant temperature rise at the contact interface, producing thermal expansion and altering tribological properties subsequently. These effects in turn can change structural dynamics. Besides, the temperature rise may also cause the material melting and ablation, leading to damper failure. Hence, the structural dynamics and the thermal process in dry friction systems are interacting. The thermomechanical coupling should be included in analyses. In this paper, a novel numerical method, namely Dry Friction ThermoMechanical Coupling Response Prediction (DFTMCP), is proposed. Based on the multi-harmonic balance method, the DFTMCP can synchronously predict the nonlinear forced response and interface temperature in the steady state. This method is under the framework of steady heat transfer assumption, and a dimensionless number is proposed to determine the rationality of the assumption. To guarantee efficiency and convergence, an ad-hoc model reduction technique for the nonlinear thermomechanical coupling problem and the corresponding analytical Jacobian matrix, which are also the highlights of the work, are implemented. The former reduces the dimension of the governing equations by over 98.6% while the latter makes the time cost drop over 37 times. By using the proposed numerical scheme, two essential coupling factors, the thermoelastic deformation and the friction coefficient variation at the interface, are considered and discussed quantitatively for the influence on the forced response through the finite element model of a blade with a flat under-platform damper in engineering. Results show that under the specific rotational speed, the average temperature at the contact surface rises by 364.16°C, and the maximum local temperature increases to 1198°C, which is close to the melting point. Ignoring the thermomechanical coupling effect leads to a 25% misprediction of the optimal centrifugal force and a 27.4% underestimation of the resonant peak.

show abstract

Nonsmooth Thermoelastic Simulations of Blade-Casing Contact Interactions

Cited by 4 publications

References 14 publications

Thermomechanical Model Reduction for Efficient Simulations of Rotor-Stator Contact Interaction

Thermomechanical Model Reduction for Efficient Simulations of Rotor-Stator Contact Interaction

Development of a Harmonic Balance Method-Based Numerical Strategy for Blade-Tip/Casing Interactions: Application to NASA Rotor 37

A Harmonic Balance-based Method to Predict Nonlinear Forced Response and Temperature Rise of Dry Friction Systems Including Frictional Heat Transfer

Contact Info

Product

Resources

About