The solution of the Euler problem on the stability of a rod with nonclassical boundary conditions

Abstract

The solution of the Euler problem on the stability of a rod with nonclassical boundary conditions

Baragunova L.A., Shogenova M.M., Shogenov О.M.

Incoming article date: 12.10.2021

Traditional analytical methods for determining critical forces lead to difficult solutions of transcendental equations, therefore they are not universal and are ineffective for rods with complex design schemes. The proposed numerical-graphical method for determining critical forces, can be easily adapted to complex non-classical problems.

Keywords: Euler problem, rod, critical force, stability, differential equations, boundary conditions, finite difference method, eigenvalues