Nonlinear modal condensation of large finite element models: An application of Hodges’ intrinsic theory
File(s)nonlinear-modal-condensation.pdf (2.76 MB)
Accepted version
Author(s)
Palacios Nieto, Rafael
Cea, Alvaro
Type
Journal Article
Abstract
A method to obtain geometrically nonlinear reduced-order descriptions of structures defined by a large finite element model is presented. The full model is used to identify all the coefficients in a modal projection of Hodges’s intrinsic beam equations, with the geometric reduction introduced through static or dynamic condensation along the main load paths on the original structure. The only information retrieved from the full model is the linear normal modes as well as condensed mass and stiffness and nodal coordinates. The approach aims to solve geometrically nonlinear problems of industrial complexity in an efficient manner, while preserving the linear model under small displacements. Examples of increasing complexity will be shown with the built-up finite element models made with beams and shells and both lumped and distributed masses. Nonlinear static and dynamic analyses, including rigid-body dynamics, are then demonstrated using the resulting nonlinear modal description.
Date Issued
2019-10-01
Date Acceptance
2018-10-11
Citation
AIAA Journal, 2019, 57 (10), pp.4255-4268
ISSN
0001-1452
Publisher
American Institute of Aeronautics and Astronautics
Start Page
4255
End Page
4268
Journal / Book Title
AIAA Journal
Volume
57
Issue
10
Copyright Statement
© 2018 by Alvaro Cea and Rafael Palacios. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission. All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the ISSN 0001-1452 (print) or 1533-385X (online) to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp.
Sponsor
Engineering & Physical Science Research Council (E
Grant Number
EP/M006224/1
Subjects
Science & Technology
Technology
Engineering, Aerospace
Engineering
GEOMETRICALLY EXACT
FLIGHT DYNAMICS
FORMULATION
FRAMEWORK
MOTIONS
SPACE
0901 Aerospace Engineering
0913 Mechanical Engineering
0905 Civil Engineering
Aerospace & Aeronautics
Publication Status
Published
Date Publish Online
2018-12-18