# Large deflections and stability of spring-hinged cantilever beam

## TL;DR

This paper analyzes how springs affect the large deflections and stability of a cantilever beam with a spring hinge under various forces, providing closed-form solutions and stability analysis.

## Contribution

It introduces closed-form solutions for the equilibrium and stability of spring-hinged cantilever beams under conservative and follower forces, enhancing understanding of their behavior.

## Key findings

- Spring influences large deflections and stability.
- Closed-form solutions for equilibrium states.
- Graphical and tabular results illustrating behavior.

## Abstract

In the article, we investigate the influence of spring on the large deflections and stability of a spring-hinged cantilever subject to conservative tip force. Using the closed form solution of the equilibrium equation and closed form solution of Jacobi accessory equation, we determine the beam equilibrium forms and their stability. Also, the solution for spring-hinged cantilever bema subject to a follower force is given. Results are present in the graphical and the tabular form.

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Source: https://tomesphere.com/paper/1812.09164