Academic Journal of Mathematical Sciences, 2024, 5(3); doi: 10.25236/AJMS.2024.050303.

## Direct Iterative Algorithm for Limit Lower Limit Analysis of Axisymmetric Structures

Author(s)

Shucong Xiao1,2

Corresponding Author:
Shucong Xiao
Affiliation(s)

1College of Physical Science and Technology, Yichun University, Yichun, Jiangxi, 336000, China

2School of Architecture and Engineering, Xinyu University, Xinyu, Jiangxi, 338000, China

### Abstract

Axisymmetric structure is a common structural form, and its stability analysis is the key to ensure structural safety. However, for complex axisymmetric structures, the conventional limit analysis method has the problems of low computational efficiency and low computational accuracy. The research in this paper will utilize the direct iterative algorithm to improve the computational accuracy and efficiency. The algorithm transforms the limit analysis problem into a series of easy-to-solve sub-problems by defining a suitable iterative function, and gradually converges to the limit state of the structure through gradual approximation. Experimental results show that the algorithm can achieve the highest prediction accuracy of 95.5% and the fastest computation can be realized within 0.1 seconds. In addition to the advantages in prediction accuracy and computational efficiency, the direct iterative algorithm shows good stability of the algorithm under different material properties and structural conditions.

### Keywords

Axisymmetric Structures, Ultimate Lower Bound Analysis, Direct Iterative Algorithm, Computational Efficiency, Ultimate Load Carrying Capacity

### Cite This Paper

Shucong Xiao. Direct Iterative Algorithm for Limit Lower Limit Analysis of Axisymmetric Structures. Academic Journal of Mathematical Sciences (2024) Vol. 5, Issue 3: 16-22. https://doi.org/10.25236/AJMS.2024.050303.

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