A method for normal-mode-based model reduction in nonlinear dynamics of slender structures
File(s)
Author(s)
Wang, Y
Palacios, R
Wynn, A
Type
Journal Article
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.
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.
Date Issued
2015-07-28
Date Acceptance
2015-07-07
Citation
Computers & Structures, 2015, 159, pp.26-40
ISSN
0045-7949
Publisher
Elsevier
Start Page
26
End Page
40
Journal / Book Title
Computers & Structures
Volume
159
Copyright Statement
© 2015 The Authors. This article is available under the terms of the Creative Commons Attribution License (CC BY).
License URL
Publication Status
Published