Method of natural oscillations and critical load determination for framed structure with discrete-continuous parameters distributions is proposed. Procedure is based on BEM, element discretization and quasi-differential equations methods.
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Equilibrium stability of a cantilever under the action of following force, taking into account distributed and concentrated point masses has been investigated using a solution of the generalized quasi-differential equation. The investigations to have been carried out show dependence of a critical force value on arrangement of the concentrated masses on the column for the cantilevers with distributed masses and either one concentrated mass or two concentrated ones. The results of the investigations given in the article point places for the optimum arrangement of the concentrated mass according to the critical force value. The algorithm of the investigation of a cone column with any quantity of concentrated masses is submitted as well.
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