Aerodynamic Damping Predictions in Turbomachines Using a Coupled Fluid-Structure Model

Gottfried, Dana A.; Fleeter, Sanford

doi:10.2514/1.4720

Cited by 9 publications

(11 citation statements)

References 2 publications

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“…Description of deformation modes. 9 Included with permission from Gottfried. As a result, a convective velocity is defined by equation 18, in which u i is the material, fluid velocity, and U i is a mesh velocity.…”

Section: Fluid-structure Interaction Solution Proceduresmentioning

confidence: 99%

Procedure for 2D fluid–structure interaction simulation

Zorn

Davis

2019

Journal of Algorithms & Computational Technology

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A numerical technique for the solution of the structural dynamics equations of motion is presented. The structural dynamics mass and momentum conservation equations are solved using a control volume technique which is secondorder accurate in space along with a dual time-step scheme that is second order accurate in time. The momentum conservation equation is written in terms of the Piola-Kirchoff stresses and the displacement velocity components. The stress tensor is related to the Lagrangian strain and displacement tensors using the St. Venant-Kirchoff constitutive relationship. Source terms are included to account for surface pressure and body forces. Verification of the structural dynamics solution procedure is presented for a two-dimensional vibrating cantilever beam. In addition, the structural dynamics solution procedure has been implemented into a general purpose two dimensional conjugate heat transfer solution procedure that uses a similar dual time-step control volume technique to solve the fluid mass, energy, and Navier-Stokes equations as well as the structural energy heat conduction equation. The resulting overall solution procedure allows for solutions to fluid/structure, fluid/thermal, or fluid/thermal/structure interaction problems. Verification of the multidisciplinary procedure is performed using a cylinder with a flexible solid protruding downstream that mimics a cylinder-flag configuration. The approach is a proof of concept for compressible flow with continuum based solids. The methods are currently being extended to 3D flow fields and solids.

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Section: Fluid-structure Interaction Solution Proceduresmentioning

confidence: 99%

Procedure for 2D fluid–structure interaction simulation

Zorn

Davis

2019

Journal of Algorithms & Computational Technology

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“…The Lamé parameters λ and μ are related to Young's modulus, E, and Poisson's Ratio, ν, as denoted in equations ( 4) and (5). Finally, the 2nd Piola-Kirchhoff stress and the Cauchy stress, σ ij , are related by equation (8). The temperature field in the solid domain is modeled with the heat conduction equation, as shown in equation (10).…”

Section: Structural Dynamics Solution Proceduresmentioning

confidence: 99%

“…Due to the second-order accurate discretization of the solid domain using finite volumes, a numerical issue arises called hourglassing. 8 For hexahedral cells, there are eight deformation modes; four of the eight deformation modes pertain to rigid body motion, expansion/contraction, and two shear modes that are all permissible modes of deformation. However, four hourglass modes exist which represent unconstrained motion that can lead to the destruction (decoupling) of the solution.…”

Section: Hourglass Stiffeningmentioning

confidence: 99%

Computational structural dynamics general solution procedure using finite volumes

Graff

Davis

Clark

2022

Journal of Algorithms & Computational Technology

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A method for the solution of the three-dimensional structural dynamics equations with large strains using a finite volume technique is presented. The proposed solution procedure is second order accurate in space and employs a second-order accurate dual time-stepping scheme. The momentum conservation equations are written in terms of the Piola-Kirchhoff stresses. The stress tensor is related to the Lagrangian strain tensor through the St. Venant-Kirchhoff constitutive relationship. The structural solver presented is verified through two test cases. The first test case is a three-dimensional cantilever beam subject to a gravitational load that is verified using theory and two-dimensional simulations reported in literature. The second test case is a three-dimensional highly deformable cantilever plate subject to a gravitational load. The results of this case are verified through a comparison with the modal response calculated by commercially available software. The focus of the current effort is the development and verification of the structural dynamics portion of a future fully coupled monolithic fluid-thermal-structure interaction code package.

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“…Aerodynamic damping calculation methods for coupled fluid-structure method are essential to quantify the flutter margin of turbomachinery. Gottfried and Fleeter [17] developed an approach to predict aerodynamic damping with the fluid-structure coupled method and demonstrated it by using a transonic compressor. The same finite element model was applied to both the Euler and structural equations.…”

Section: Introductionmentioning

confidence: 99%

Aerodynamic Damping Prediction for Turbomachinery Based on Fluid-Structure Interaction with Modal Excitation

Yang²,

Hou

et al. 2019

Applied Sciences

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Aerodynamic damping predictions are critical when analyzing aeroelastic stability. A novel method has been developed to predict aerodynamic damping by employing two single time-domain simulations, specifically, one with the blade impulsed naturally in a vacuum and one with the blade impulsed in flow. The focus is on the aerodynamic damping prediction using modal excitation and the logarithmic decrement theory. The method is demonstrated by considering the first two bending modes with an inter-blade phase angle (IBPA) of 0° on a transonic compressor. The results show that the flutter boundary prediction is basically consistent with the experiment. The aerodynamic damping prediction with an IBPA of 180° is also performed, demonstrating that the method is suitable for different traveling wave mode representations. Furthermore, the influence of the amplitude of modal excitation and mechanical damping using the Rayleigh damping model for aerodynamic damping was also investigated by employing fluid-structure coupled simulations.

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Aerodynamic Damping Predictions in Turbomachines Using a Coupled Fluid-Structure Model

Cited by 9 publications

References 2 publications

Procedure for 2D fluid–structure interaction simulation

Procedure for 2D fluid–structure interaction simulation

Computational structural dynamics general solution procedure using finite volumes

Aerodynamic Damping Prediction for Turbomachinery Based on Fluid-Structure Interaction with Modal Excitation

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