Print Email Facebook Twitter A momentum subspace method for the model-order reduction in nonlinear structural dynamics Title A momentum subspace method for the model-order reduction in nonlinear structural dynamics: Theory and experiments Author Sinha, Kautuk (Student TU Delft) Singh, Niels K. (Student TU Delft) Abdalla, Mostafa M. (Zewail City of Science and Technology) De Breuker, R. (TU Delft Aerospace Structures & Computational Mechanics) Alijani, F. (TU Delft Dynamics of Micro and Nano Systems) Date 2020 Abstract The article proposes a method developed for model order reduction in a Finite Element (FE) framework that is capable of computing higher order stiffness tensors. In the method, a truncated third order asymptotic expansion is used for transformation of an FE model to a reduced system. The basis matrix in the formulation of the reduced-order model (ROM) is derived from linear mode shapes of the structure. The governing equations are derived using Hamilton's principle and the method is applied to geometrically nonlinear vibration problems to test its effectiveness. An initial validation of the numerical formulation is obtained by comparison of results from time domain nonlinear vibration analyses of a rectangular plate using Abaqus. Subsequently, a stiffened plate is modeled to test a more complex structure and a continuation algorithm is used in combination with the ROM to compute nonlinear frequency response curves. The validation of the stiffened plate has been performed through comparisons with the results of nonlinear vibration experiments. The experiments are conducted with Polytec Laser Doppler Vibrometer and PAK MK-II measurement systems for large amplitude vibrations to validate the nonlinear vibration analyses. Subject Finite element methodHamiltonian mechanicsModel order reductionNonlinear vibrations To reference this document use: http://resolver.tudelft.nl/uuid:b4961059-3521-45fe-8e3a-9ac63685cb2a DOI https://doi.org/10.1016/j.ijnonlinmec.2019.103314 Embargo date 2021-10-31 ISSN 0020-7462 Source International Journal of Non-Linear Mechanics, 119 Part of collection Institutional Repository Document type journal article Rights © 2020 Kautuk Sinha, Niels K. Singh, Mostafa M. Abdalla, R. De Breuker, F. Alijani Files PDF NLM_Momentum_subspace_noRedText.pdf 2.75 MB Close viewer /islandora/object/uuid:b4961059-3521-45fe-8e3a-9ac63685cb2a/datastream/OBJ/view