Dynamic relaxation method with arc-length parameter for analysis of reinforced concrete columns

Abstract

The paper presents the modification of the dynamic relaxation method in order to increase its effectiveness in the range of the post-critical analysis. For this purpose, the arc-length parameter on the equilibrium path was introduced into the computational procedure. The additional constraints equation that combines increment of load parameter and the vector of displacement increments with the arc-length increment on the solution path was incorporated to analysis of the equations of motion. Solution of nonlinear equilibrium equations is obtained recursively in subsequent pseudo-time instants. The proposed method allows for tracking the global softening phenomenon of the structural element in the post-critical range, which leads to failure. We ran numerical experiments for the reinforced concrete eccentrically loaded column. Our comparative analysis with previously published numerical results demonstrated that the proposed computational method is effective.[b]Keywords[/b]: reinforced concrete columns, dynamic relaxation method, arc-length method, load-carrying capacity

Keywords

• reinforced concrete columns
• dynamic relaxation method
• arc-length method
• Load-carrying capacity