A NEW APPROACH FOR CONVERGENCE ACCELERATION OF ITERATIVE METHODS IN STRUCTURAL ANALYSIS-Reference-Cited by-同舟云学术

A NEW APPROACH FOR CONVERGENCE ACCELERATION OF ITERATIVE METHODS IN STRUCTURAL ANALYSIS

Published:2013-04-23 Issue:04 Volume:10 Page:1350022
ISSN:0219-8762
Container-title:International Journal of Computational Methods
language:en
Short-container-title:Int. J. Comput. Methods

Author:

SAFFARI HAMED¹,BAGHLANI ABDOLHOSSEIN²,MIRZAI NADIA M.³,MANSOURI IMAN¹

Affiliation:

1. Department of Civil Engineering, Shahid Bahonar University of Kerman, P.O. Box 76169-133, Kerman, Iran

2. Faculty of Civil and Environmental Engineering, Shiraz University of Technology, P.O. Box 71555-313, Shiraz, Iran

3. Department of Civil Engineering, Shiraz University, P.O. Box 71345-3341, Shiraz, Iran

Abstract

In this paper, a new approach is presented to accelerate the nonlinear analysis of structures with low computational cost. The method is essentially based on Newton–Raphson method, which has been improved in each iteration to achieve faster convergence. The normal flow algorithm has been employed to pass successfully through the limit points and through the entire equilibrium path. Subsequently, numerical examples are performed to demonstrate the efficiency of the formulation. The results show better performance, accuracy and rate of convergence of the present method to deal with nonlinear analysis of structures.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Mathematics,Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219876213500229

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