Prediction of displacement and stress fields of a notched panel with geometric nonlinearity by reduced order modeling
TLDR
In this paper, the authors assess the predictive capabilities of nonlinear geometric reduced order models for the prediction of the large displacement and stress fields of panels with localized geometric defects, the case of a notch serving to exemplify the analysis.About:
This article is published in Journal of Sound and Vibration.The article was published on 2014-12-02 and is currently open access. It has received 13 citations till now. The article focuses on the topics: Displacement field & Stress field.read more
Citations
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Journal ArticleDOI
Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques
TL;DR: In this article, a review of nonlinear methods for model order reduction in structures with geometric nonlinearity is presented, with a special emphasis on the techniques based on invariant manifold theory.
Journal ArticleDOI
Non-intrusive reduced order modelling for the dynamics of geometrically nonlinear flat structures using three-dimensional finite elements
Alessandra Vizzaccaro,Arthur Givois,Arthur Givois,Pierluigi Longobardi,Yichang Shen,Jean-François Deü,Loic Salles,Cyril Touzé,Olivier Thomas +8 more
TL;DR: A modified STEP is proposed, where the prescribed displacements are imposed solely on specific degrees of freedom of the structure, and it is shown that this adjustment also provides efficiently a converged solution.
Journal ArticleDOI
Non-intrusive reduced order modelling for the dynamics of geometrically nonlinear flat structures using three-dimensional finite elements
Alessandra Vizzaccaro,Arthur Givois,Arthur Givois,Pierluigi Longobardi,Yichang Shen,Jean-François Deü,Loic Salles,Cyril Touzé,Olivier Thomas +8 more
TL;DR: In this paper, a modified version of the STiffness evaluation procedure is proposed, where the prescribed displacements are imposed solely on specific degrees of freedom of the structure, and this adjustment also provides efficiently a converged solution.
Journal ArticleDOI
Locally enhanced reduced order modeling for the nonlinear geometric response of structures with defects
TL;DR: In this paper, the authors focus on the reduced order modeling of structures with local defects undergoing large deformations, i.e., within the nonlinear geometric range, and propose to construct such ROMs by enhancing the non-linear reduced order model of the corresponding virgin structure, not by carrying out a separate modeling effort.
Journal ArticleDOI
Reduced Order Modeling with Local Enrichment for the Nonlinear Geometric Response of a Cracked Panel
TL;DR: In this article, high-speed flight vehicles operating in extreme environments are likely to undergo significant nonlinear dynamic deformation and the accurate response and life prediction of such structures require m...
References
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Book
Nonlinear Continuum Mechanics for Finite Element Analysis
Javier Bonet,Richard D. Wood +1 more
TL;DR: Bonet and Wood as discussed by the authors provide a complete, clear, and unified treatment of nonlinear continuum analysis and finite element techniques under one roof, providing an essential resource for postgraduates studying non-linear continuum mechanics and ideal for those in industry requiring an appreciation of the way in which their computer simulation programs work.
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Classical and Computational Solid Mechanics
TL;DR: In this paper, a tensor analysis of strain conservation laws elastic and plastic behaviour of materials linearized theory of elasticity solutions of problems by potentials two-dimensional problems in variational calculus, energy theorems, Saint-Venant's principle Hamilton's principle, wave propagation, applications of generalized co-ordinates elasticity and thermodynamics irreversible thermodynamics and viscoelasticity thermoelasticness visco-elasticy large deformation incremental approach to solving some nonlinear problems.
Journal ArticleDOI
A review of indirect/non-intrusive reduced order modeling of nonlinear geometric structures
TL;DR: In this article, a review of reduced order modeling techniques for geometrically nonlinear structures, more specifically those techniques that are applicable to structural models constructed using commercial finite element software, is presented.
Journal ArticleDOI
Determination of nonlinear stiffness with application to random vibration of geometrically nonlinear structures
TL;DR: In this paper, a method for determining the nonlinear modal stiffness coefficients for an arbitrary finite element model is presented, which is suitable for use with commercial finite element codes having a geometrically nonlinear static capability.
Journal ArticleDOI
Nonlinear modal models for sonic fatigue response prediction: a comparison of methods
TL;DR: In this article, several methods used to construct the nonlinear modal models are compared using a clamped-clamped beam as an example problem, and the modal equations can then be integrated in the time domain.