Direct calculation of critical points in parameter sensitive systems

Authors:
Behrang Moghaddasie;Ilinca Stanciulescu
Affiliations:
Department of Civil Engineering, Ferdowsi University of Mashhad, P.O. Box 91775-1111, Mashhad, Iran;Department of Civil and Environmental Engineering, Rice University, Houston, TX 77005-1892, USA
Venue:
Computers and Structures
Year:
2013

Citing 5
Cited 0

A quadratically convergent procedure for the calculation of stability points in finite element analysis

Computer Methods in Applied Mechanics and Engineering
Sensitivity analysis of all eigenvalues of a symmetric matrix

Numerische Mathematik
Stability analysis using a geometrically nonlinear assumed strain solid shell element model

Finite Elements in Analysis and Design
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)

Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
Design sensitivity analysis of nonlinear structures subjected to thermal loads

Computers and Structures

Quantified Score

Hi-index	0.00

Visualization

Abstract

At critical points along the equilibrium path, sudden and sometimes catastrophic changes in the structural behaviour are observed. The equilibrium path, load-bearing capacity and locations of critical points can be sensitive to variations in parameters, such as geometrical imperfections, multi-parameter loadings, temperature and material properties. This paper introduces an incremental-iterative procedure to directly calculate the critical load for parameterized elastic structures. A modified Newton's method is proposed to simultaneously set the residual force and the minimum eigenvalue of the tangent stiffness matrix to zero by using an iterative algorithm. To demonstrate the performance of this method, numerical examples are presented.