DYNAMIC STABILITY PROBLEM OF A NON-PRISMATIC ROD

A dynamic stiffness matrix for a non-prismatic rod finite element resting on a two-parameter non-homogenous elastic foundation has been determined. To obtain the solution the shape function was approximated by Chebyshev series. This yielded closed analytical formulae for the coefficients of the matrices sought. The finite element obtained was used to solve the dynamic stability problem for a non-prismatic cantilever column. The results were compared with those reported by other authors.