Lateral Stability of Bending Non-prismatic Thin-walled Beams Using Orthogonal Series

AbstractThe lateral stability of bending non-prismatic thin walled beams is carried out using orthogonal Chebyshev series. The considerations apply to a system with variable geometrical parameters. The problem leads to fourth order coupled partial differential equations with variable coefficients. Equations were solved using orthogonal Chebyshev series. The presented method of solution is based on the theorem leads to an infinite system of algebraic equations. In order to verify the results were compared with results obtained by FEM and other authors