# A Meshless-based Local Reanalysis Method for Structural Analysis

## TL;DR

This paper introduces a meshless local reanalysis method that enhances computational efficiency and flexibility in structural analysis, overcoming limitations of mesh connection and handling mesh distortion more easily.

## Contribution

It extends reanalysis techniques to a meshless Kriging interpolation method and proposes a local reanalysis approach to reduce computational costs.

## Key findings

- Significant efficiency improvement over full meshless methods.
- Effective handling of mesh distortion problems.
- Validated performance through numerical examples.

## Abstract

This study presents a meshless-based local reanalysis (MLR) method. The purpose of this study is to extend reanalysis methods to the Kriging interpolation meshless method due to its high efficiency. In this study, two reanalysis methods: combined approximations CA) and indirect factorization updating (IFU) methods are utilized. Considering the computational cost of meshless methods, the reanalysis method improves the efficiency of the full meshless method significantly. Compared with finite element method (FEM)-based reanalysis methods, the main superiority of meshless-based reanalysis method is to break the limitation of mesh connection. The meshless-based reanalysis is much easier to obtain the stiffness matrix even for solving the mesh distortion problems. However, compared with the FEM-based reanalysis method, the critical challenge is to use much more nodes in the influence domain due to high order interpolation. Therefore, a local reanalysis method which only needs to calculate the local stiffness matrix in the influence domain is suggested to improve the efficiency further. Several typical numerical examples are tested and the performance of the suggested method is verified.

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Source: https://tomesphere.com/paper/1703.04355