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A method for normal-mode-based model reduction in nonlinear dynamics of slender structures
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Wang, Yinan, Palacios, Rafael and Wynn, Andrew (2015) A method for normal-mode-based model reduction in nonlinear dynamics of slender structures. Computers & Structures, 159 . pp. 26-40. doi:10.1016/j.compstruc.2015.07.001 ISSN 1879-2243.
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Official URL: http://dx.doi.org/10.1016/j.compstruc.2015.07.001
Abstract
This paper introduces a nonlinear reduced-order modelling methodology for finite-element models of structures with slender subcomponents and inertia represented by lumped masses along main load paths. The constructed models have dynamics described by 1-D intrinsic equations of motion, which are further written in modal co-ordinates. This yields finite-dimensional approximations of the system dynamics with only quadratic nonlinearities. Evaluation of the problem coefficients is performed from static condensation of the original model on the lumped masses. The method exploits the multi-point constraints typically used to obtain sectional loads in aircraft aeroelastic analysis. The technique is illustrated on simple 3D structural models built using solid elements.
Item Type: | Journal Article | ||||||||||
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Subjects: | Q Science > QA Mathematics T Technology > TA Engineering (General). Civil engineering (General) |
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Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering | ||||||||||
Library of Congress Subject Headings (LCSH): | Structural frames, Structural frames -- Mathematical models, Structural dynamics, Structural analysis (Engineering) , Nonlinear theories | ||||||||||
Journal or Publication Title: | Computers & Structures | ||||||||||
Publisher: | Elsevier BV | ||||||||||
ISSN: | 1879-2243 | ||||||||||
Official Date: | 15 October 2015 | ||||||||||
Dates: |
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Volume: | 159 | ||||||||||
Page Range: | pp. 26-40 | ||||||||||
DOI: | 10.1016/j.compstruc.2015.07.001 | ||||||||||
Status: | Peer Reviewed | ||||||||||
Publication Status: | Published | ||||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||||
Date of first compliant deposit: | 5 September 2019 | ||||||||||
Date of first compliant Open Access: | 5 September 2019 | ||||||||||
RIOXX Funder/Project Grant: |
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