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Аннотация

The paper considers the effect on the value of the frequency of oscillations of the relative height of the rod, which is determined by the ratio of the height of its cross-section to length. Obtained dependencies, each branch of which corresponds to one or another type of cross-section of the rod in a certain form bend its elastic line. Similar curves, or the corresponding tables, can be constructed for any cases of oscillations. The problem of determining the influence of imperfection of the fastening of the rod on the frequency of the latter fluctuations is solved. On the basis of comparison of the elastic properties of the rod and the actual site of its mounting, it was concluded that they are comparable in some cases. It is assumed that in this case the zero crossing of the rod is shifted in the transverse direction and at the same time it returns. In this case, the method of fastening the rod schematically can be represented in the form of two springs with linear properties, one of which works in conditions of stretching-compression, and the second - twists. As a result of the calculations of the real model, all the data necessary to determine the value of the frequency of the internal oscillations of the rack were obtained. The resulting value corresponds to a cyclic frequency of 1006 min-1. Comparison of the results of the experiment (1050 min-1) and the calculated calculation indicates their satisfactory coincidence and allows us to conclude that the proposed method for calculating the frequencies of the own transverse oscillations of the straight cores gives quite reliable results. This effect is obtained as a result of the abandonment of the excessive idealization of the mechanical system and the consideration of a number of real significant features.