In many structures of civil engineering, rotating machinery, flying objects with rocket propulsion and other systems, problems of stability arise and have to be addressed. The optimal cross-section layout in maximization of critical loads of such systems needs a deep knowledge concerning their modal properties and stability behavior, to enable one to effectively control them. The present paper is devoted to discussion of the relations between the eigenfrequencies and the eigen-modes of selected discrete and continuous models of columns subjected to conservative and non-conservative follower loads.
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