Grid convergence in finite element analysis (FEA), despite a wide variety of tools available to date, remains an elusive and challenging task. Due to the complex and time-consuming process of remeshing and solving the finite element model (FEM), convergence studies can be a part of the most arduous portion of the modeling process and can even be impossible with FEMs unassociated with CAD. Existing a posteriori methods, such as relative error in the energy norm, provide a near arbitrary indication of the model convergence for eigenfrequencies. This paper proposes a new approach to evaluate the harmonic convergence of an existing model without conducting a convergence study. Strain energy superconvergence (SES) takes advantage of superconvergence points within a FEM and accurately recovers the strain energy within the model using polyharmonic splines, thus providing a more accurate estimate of the system's eigenfrequencies without modification of the FEM. Accurate eigenfrequencies are critical for designing for airfoil resonance avoidance and mistuned rotor response prediction. Traditional error estimation strategies fail to capture harmonic convergence as effectively as SES, potentially leading to a less accurate airfoil resonance and rotor mistuning prediction.
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October 2016
Research-Article
Harmonic Convergence Estimation Through Strain Energy Superconvergence
Joseph A. Beck,
Joseph A. Beck
Turbine Engine Division,
U.S. Air Force Research Laboratory,
Wright-Patterson AFB, OH 45431
U.S. Air Force Research Laboratory,
Wright-Patterson AFB, OH 45431
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Jeffrey M. Brown
Jeffrey M. Brown
Turbine Engine Division,
U.S. Air Force Research Laboratory,
Wright-Patterson AFB, OH 45431
U.S. Air Force Research Laboratory,
Wright-Patterson AFB, OH 45431
Search for other works by this author on:
Alexander A. Kaszynski
Joseph A. Beck
Turbine Engine Division,
U.S. Air Force Research Laboratory,
Wright-Patterson AFB, OH 45431
U.S. Air Force Research Laboratory,
Wright-Patterson AFB, OH 45431
Jeffrey M. Brown
Turbine Engine Division,
U.S. Air Force Research Laboratory,
Wright-Patterson AFB, OH 45431
U.S. Air Force Research Laboratory,
Wright-Patterson AFB, OH 45431
Contributed by the Structures and Dynamics Committee of ASME for publication in the JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER. Manuscript received January 15, 2016; final manuscript received February 22, 2016; published online April 12, 2016. Editor: David Wisler.
J. Eng. Gas Turbines Power. Oct 2016, 138(10): 102501 (9 pages)
Published Online: April 12, 2016
Article history
Received:
January 15, 2016
Revised:
February 22, 2016
Citation
Kaszynski, A. A., Beck, J. A., and Brown, J. M. (April 12, 2016). "Harmonic Convergence Estimation Through Strain Energy Superconvergence." ASME. J. Eng. Gas Turbines Power. October 2016; 138(10): 102501. https://doi.org/10.1115/1.4033059
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