Journal ArticleDOI
An eigenanalysis-based bifurcation indicator proposed in the framework of a reduced-order modeling technique for non-linear structural analysis
Reads0
Chats0
TLDR
In this article, the authors extend the original Koiter-Newton approach with a reliable and accurate bifurcation indicator which is based on an eigenanalysis of the reduced order tangent stiffness matrix.Abstract:
The Koiter–Newton method is a reduced order modeling technique which allows us to trace efficiently the entire equilibrium path of a non-linear structural analysis. In the framework of buckling the method is capable to handle snap-back and snap-through phenomena but may fail to predict reliably bifurcation branches along the equilibrium path. In this contribution we extend the original Koiter–Newton approach with a reliable and accurate bifurcation indicator which is based on an eigenanalysis of the reduced order tangent stiffness matrix. The proposed indicator has a negligible numerical effort since all computations refer to the reduced order model which is typically of very small dimension. The extension allows the identification of bifurcation points and a tracing of corresponding bifurcation branches in each sector of the equilibrium path. The performance of the method in terms of reliability, accuracy and computational effort is demonstrated with several examples.read more
Citations
More filters
Journal ArticleDOI
A review of recent researches on FGM cylindrical structures under coupled physical interactions, 2000–2015
TL;DR: In this article, the authors reviewed most of the researches done in recent years (2005-2015) on FGM cylindrical structures with an emphasis on coupled mechanics, including thermo-elastic coupling, multi-physic fields coupling, structure-foundation coupling and fluid-solid coupling.
Journal ArticleDOI
An efficient mixed variational reduced‐order model formulation for nonlinear analyses of elastic shells
TL;DR: In this article, a robust mixed solid-shell formulation is proposed to further enhance the efficiency of stability analyses in various aspects, and a Hellinger-Reissner variational formulation facilitates the reduced order model construction omitting an expensive evaluation of the inherent fourth order derivatives of the strain energy.
Journal ArticleDOI
Koiter asymptotic analysis of multilayered composite structures using mixed solid-shell finite elements
TL;DR: In this article, the authors propose a tool for the evaluation of the initial postbuckling behavior of multi-layered composite shells and beams in both bifurcation and limit load cases, including mode interaction and imperfection sensitivity.
Journal ArticleDOI
Nonlinear buckling analysis of the conical and cylindrical shells using the SGL strain based reduced order model and the PHC method
Ke Liang,Martin Ruess +1 more
TL;DR: In this article, the improved Koiter-Newton method is proposed to trace the post-buckling path of cylinders and cones, in the framework of the reduced-order modeling technique.
Journal ArticleDOI
Deformation modes for the post-critical analysis of thin-walled compressed members by a Koiter semi-analytic approach
TL;DR: In this paper, a semi-analytic solution for the post-critical behavior of compressed thin walled members with generic cross sections is presented based on the Koiter approach and the method of separation of variables.
References
More filters
Journal ArticleDOI
A fast incremental/iterative solution procedure that handles "snap-through"
TL;DR: In this article, a modified version of the Newton-Raphson method is proposed to overcome limit points in the finite element method with a fixed load level and a constraint equation.
Journal ArticleDOI
An arc‐length method including line searches and accelerations
TL;DR: In this paper, a line search method was proposed to improve the convergence of the arc-length solution for both geometrically nonlinear analysis of shallow shells and material nonlinear analyses of reinforced concrete beams and slabs.
Journal ArticleDOI
Reduced Basis Technique for Nonlinear Analysis of Structures
Ahmed K. Noor,Jeanne M. Peters +1 more
TL;DR: In this paper, a reduced basis technique and a computational algorithm are presented for predicting the nonlinear static response of structures, where a total Lagrangian formulation is used and the structure is discretized by using displacement finite element models.
Journal ArticleDOI
Popular benchmark problems for geometric nonlinear analysis of shells
Kam Yim Sze,X. H. Liu,S. H. Lo +2 more
TL;DR: In this article, the results of geometric nonlinear benchmark problems of shells are presented in the form of load-deflection curves and the relative convergent difficulty of the problems are revealed by the number of load increments and the total number of iterations required by an automatic load increment scheme for attaining the converged solutions under the maximum loads.
Related Papers (5)
The Koiter-Newton approach using von Kármán kinematics for buckling analyses of imperfection sensitive structures
A Koiter‐Newton approach for nonlinear structural analysis
Finite element based coupled mode initial post-buckling analysis of a composite cylindrical shell ☆
T. Rahman,Eelco Jansen +1 more