Abstract
In a highly developed analysis of methods for investigating the stability of columns under pressure as well as for determining the critical force for columns and column-type structures is given. In particular, it is shown that the onset of static instability in a column is marked by a zero natural vibration frequency. It is of great practical importance to determine the stability of the elements of structures formed from multilayer composite materials which satisfy requirements of durability against a variety of effective factors. Often the supports of a real-world structure, understood as elements of the structure itself, are themselves complex structures possessing all the technological types of irregularities inherent to real-world structures, a fact which leads to significant spread of the actual critical loads of the structure within one and the same series.
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