An eigenanalysis-based bifurcation indicator proposed in the framework of a reduced-order modeling technique for nonlinear structural analysis

Liang, K., Ruess, M. and Abdalla, M. (2016) An eigenanalysis-based bifurcation indicator proposed in the framework of a reduced-order modeling technique for nonlinear structural analysis. International Journal of Non-Linear Mechanics, 81, pp. 129-138. (doi: 10.1016/j.ijnonlinmec.2016.01.013)

Abstract

The Koiter-Newton method is a reduced order modeling technique which allows to trace efficiently the entire equilibrium path of a nonlinear 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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Ruess, Dr Martin
• Authors: Liang, K., Ruess, M., and Abdalla, M.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: International Journal of Non-Linear Mechanics
• Publisher: Elsevier
• ISSN: 0020-7462
• ISSN (Online): 1878-5638