Paper published in a book (Scientific congresses and symposiums)
Reduced Order Modeling Research Challenge 2023: Nonlinear Dynamic Response Predictions for an Exhaust Cover Plate
Park, Kyusic; Allen, Matthew S.; de Bono, Maxet al.
2024 • In Brake, Matthew R. W. (Ed.) Nonlinear Structures and Systems - Proceedings of the 42nd IMAC, A Conference and Exposition on Structural Dynamics 2024
Geometric nonlinearity; Nonlinear dynamics; Reduced order modeling; Cover plate; Geometric non-linearity; Geometrically nonlinear structures; Model method; Models comparisons; Nonlinear dynamic response; Reduced order modelling; Reduced-order model; Research challenges; Response prediction; Engineering (all); Computational Mechanics; Mechanical Engineering
Abstract :
[en] A variety of reduced order modeling (ROM) methods for geometrically nonlinear structures have been developed over recent decades, each of which takes a distinct approach, and may have different advantages and disadvantages for a given application. This research challenge is motivated by the need for a consistent, reliable, and ongoing process for ROM comparison. In this chapter, seven state-of-the-art ROM methods are evaluated and compared in terms of accuracy and efficiency in capturing the nonlinear characteristics of a benchmark structure: a curved, perforated plate that is part of the exhaust system of a large diesel engine. Preliminary results comparing the full-order and ROM simulations are discussed. The predictions obtained by the various methods are compared to provide an understanding of the performance differences between the ROM methods participating in the challenge. Where possible, comments are provided on insight gained into how geometric nonlinearity contributes to the nonlinear behavior of the benchmark system.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Park, Kyusic; Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, United States
Allen, Matthew S.; Department of Mechanical Engineering, Brigham Young University, Provo, United States
de Bono, Max; Department of Mechanical Engineering, University of Bristol, Bristol, United Kingdom
Colombo, Alessio; Department of Civil and Environmental Engineering, Politecnico di Milano, Milano, Italy
Frangi, Attilio; Department of Civil and Environmental Engineering, Politecnico di Milano, Milano, Italy
Gobat, Giorgio; Department of Civil and Environmental Engineering, Politecnico di Milano, Milano, Italy
Haller, George; Institute for Mechanical Systems, ETH Zürich, Zürich, Switzerland
Hill, Tom; Department of Mechanical Engineering, University of Bristol, Bristol, United Kingdom
Jain, Shobhit; Delft Institute of Applied Mathematics, TU Delft, CD Delft, Netherlands
Kramer, Boris; Department of Structural Engineering, University of California San Diego, La Jolla, United States
Li, Mingwu; Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen, China
Salles, Loïc ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Mechanical aspects of turbomachinery and aerospace propulsion
Najera-Flores, David A.; Department of Structural Engineering, University of California San Diego, La Jolla, United States
Neild, Simon; Department of Mechanical Engineering, University of Bristol, Bristol, United Kingdom
Renson, Ludovic; Department of Mechanical Engineering, Imperial College London, London, United Kingdom
Saccani, Alexander; Institute for Mechanical Systems, ETH Zürich, Zürich, Switzerland
Sharma, Harsh; Department of Structural Engineering, University of California San Diego, La Jolla, United States
Shen, Yichang; Department of Mechanical Engineering, Imperial College London, London, United Kingdom
Tiso, Paolo; Institute for Mechanical Systems, ETH Zürich, Zürich, Switzerland
Todd, Michael D.; Department of Structural Engineering, University of California San Diego, La Jolla, United States
Touzé, Cyril; IMSIA, ENSTA Paris, CNRS, EDF, CEA, Institut Polytechnique de Paris, Palaiseau Cedex, France
Van Damme, Christopher; ATA Engineering, Inc., San Diego, United States
Vizzaccaro, Alessandra; College of Engineering, Mathematics and Physical Sciences, University of Exeter, Exeter, United Kingdom
Xu, Zhenwei; Institute for Mechanical Systems, ETH Zürich, Zürich, Switzerland
Elliot, Ryan; Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, United States
Tadmor, Ellad; Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, United States
Touzé, C., Vizzaccaro, A., Thomas, O.: Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques. Nonlinear Dyn. 105(2), 1141–1190 (2021)
McEwan, M., Wright, J.R., Cooper, J.E., Leung, A.Y.T.: A combined modal/finite element analysis technique for the dynamic response of a non-linear beam to harmonic excitation. J. Sound Vib. 243(4), 601–624 (2001)
Hollkamp, J.J., Gordon, R.W.: Reduced-order models for nonlinear response prediction: implicit condensation and expansion. J. Sound Vib. 318(4–5), 1139–1153 (2008)
Park, K., Allen, M.S.: A gaussian process regression reduced order model for geometrically nonlinear structures. Mech. Syst. Signal Process. 184, 109720 (2023)
Nicolaidou, E., Hill, T.L., Neild, S.A.: Indirect reduced-order modelling: using nonlinear manifolds to conserve kinetic energy. Proc. R. Soc. A 476(2243), 20200589 (2020)
Nicolaidou, E., Hill, T.L., Neild, S.A.: Detecting internal resonances during model reduction. Proc. R. Soc. A 477(2250), 20210215 (2021)
Sombroek, C.S.M., Tiso, P., Renson, L., Kerschen, G.: Numerical computation of nonlinear normal modes in a modal derivative subspace. Comput. Struct. 195, 34–46 (2018)
Marconi, J., Tiso, P., Braghin, F.: A nonlinear reduced order model with parametrized shape defects. Comput. Methods Appl. Mech. Eng. 360, 112785 (2020)
Marconi, J., Tiso, P., Quadrelli, D.E., Braghin, F.: A higher-order parametric nonlinear reduced-order model for imperfect structures using neumann expansion. Nonlinear Dyn. 104(4), 3039–3063 (2021)
Jain , S., Haller, G.: How to compute invariant manifolds and their reduced dynamics in high-dimensional finite element models. Nonlinear Dyn. 107, 1–34 (2022)
Cenedese, M., Axås, J., Bäuerlein, B., Avila, K., Haller, G.: Data-driven modeling and prediction of non-linearizable dynamics via spectral submanifolds. Nat. Commun. 13(1), 872 (2022)
Vizzaccaro, A., Shen, Y., Salles, L., Blahoš, J., Touzé, C.: Direct computation of nonlinear mapping via normal form for reduced-order models of finite element nonlinear structures. Comput. Methods Appl. Mech. Eng. 384, 113957 (2021)
Opreni, A., Vizzaccaro, A., Frangi, A., Touzé, C.: Model order reduction based on direct normal form: application to large finite element mems structures featuring internal resonance. Nonlinear Dyn. 105(2), 1237–1272 (2021)
Opreni, A., Vizzaccaro, A., Touzé, C., Frangi, A.: High-order direct parametrisation of invariant manifolds for model order reduction of finite element structures: application to generic forcing terms and parametrically excited systems. Nonlinear Dyn. 111(6), 5401–5447 (2023)
Najera-Flores, D.A., Todd, M.D.: A structure-preserving neural differential operator with embedded hamiltonian constraints for modeling structural dynamics. Comput. Mech. 72, 1–12 (2023)
Sharma, H., Kramer, B.: Preserving lagrangian structure in data-driven reduced-order modeling of large-scale dynamical systems (2022). arXiv preprint arXiv:2203.06361
Ehrhardt, D.A., Allen, M.S., Beberniss, T.J., Neild, S.A.: Finite element model calibration of a nonlinear perforated plate. J. Sound Vib. 392, 280–294 (2017)
Kerschen, G., Peeters, M., Golinval, J.-C., Vakakis, A.F.: Nonlinear normal modes, part I: a useful framework for the structural dynamicist. Mech. Syst. Signal Process. 23(1), 170–194 (2009)
Kuether, R.J., Deaner, B.J., Hollkamp, J.J., Allen, M.S.: Evaluation of geometrically nonlinear reduced-order models with nonlinear normal modes. AIAA J. 53(11), 3273–3285 (2015)
Detroux, T., Renson, L., Masset, L., Kerschen, G.: The harmonic balance method for bifurcation analysis of large-scale nonlinear mechanical systems. Comput. Methods Appl. Mech. Eng. 296, 18–38 (2015)
Dankowicz, H., Schilder, F.: Recipes for Continuation. SIAM, Philadelphia (2013)
