Some comments on Gao beam model

TL;DR

This paper analyzes a nonlinear beam model used for post-buckling studies, identifies an inconsistency in its formulation, and proposes an adjustment to resolve the issue.

Contribution

It provides a critical analysis of an existing nonlinear beam model and proposes a correction to improve its consistency.

Findings

Identified inconsistency between bending and buckling formulations

Proposed an adjustment to the integral constant in the model

Enhanced the model's applicability to post-buckling analysis

Abstract

In this small comment mathematical formulations concerning the nonlinear beam model published in [1] are analyzed. The beam is subjected to vertical and axial loading (at its right end). This nonlinear model can be used to study post-buckling problems. Unfortunately, some inconsistency between pure bending and pure buckling problems was discovered by the authors of this comment. This is concerned with definition of an integral constant, which is not in [1] strictly determined. In this comment there is proposed the adjustment of of this constant which should solve the mentioned troubles.