APPLICATION OF CHEBYSHEV SERIES TO SOLUTION OF NON-PRISMATIC BEAM VIBRATION PROBLEMS

The problem of the vibration of a non-prismatic beam resting on a two-parameter elastic foundation has been solved by applying the approximation by Chebyshev series. As a result, closed analytical formulas defining the coefficients of the sought solutions were obtained. The method was used to solve the eigenproblem for a simply supported beam and a cantilever beam. The obtained results were compared with the results reported by other authors.