Abstract
The objective of this paper is to obtain an approximate solution of the title problem by using Rayleigh's optimization technique when the mechanical system, and its excitation in the case where it is subject to a p 0 cos ωt -type loading, is symmetric. It is shown that if one takes into account the symmetry of the system the calculated eigenvalues are, in general, more accurate than those which would result if the complete structural system were analyzed. It is also assumed that the beam is subject to an axial force and results for the buckling problem are also presented. The analytically determined eigenvalues are compared with values calculated by using the finite element method in several instances.
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