Abstract
Dynamic numerical simulation of large-scale complicated beam-type structures is unavoidable in modern engineering calculations; however, the inherent nature of the models often leads to unmanageable demands on the computational resources. The model reduction method aims to reduce this computational burden by generating reduced-order models (ROMs) that are faster and cheaper to simulate, yet accurately represent the original structures behavior. Therefore, a novel reduced order model is proposed to determine the natural frequencies of the beam-type structures in this study, which is established by using a reduction basis along with the polynomial interpolation function (PIF) depends on a set of parameters. The basic idea is to translate the displacements of FEM nodes in each cross section into a small amount of nodes with a few generalized DOFs. Moreover, the proposed ROMs have the ability to identify shell lobe-type modes and coupled modes. Then, a fast optimization framework for thin-walled cylinders is established based on the reduced order model. Finally, numerical examples demonstrate the effectiveness of proposed method.
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Li, Y., Wang, B., Hao, P., Zhou, Y., Zhao, Y. (2018). Fast Dynamic Analysis of Beam-Type Structures Based on Reduced-Order Model. In: Schumacher, A., Vietor, T., Fiebig, S., Bletzinger, KU., Maute, K. (eds) Advances in Structural and Multidisciplinary Optimization. WCSMO 2017. Springer, Cham. https://doi.org/10.1007/978-3-319-67988-4_45
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DOI: https://doi.org/10.1007/978-3-319-67988-4_45
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