Abstract

Abstract. The studies were carried out in order to develop effective methodology for the statistical analysis of the results of geodetic surveys of the rails of overhead cranes. The findings will provide generalization of the measurement results, demonstration of their changes over time, as well as comparison with the permissible values of deviations from the design position. The analysis includes the results of geodetic surveys of the position of the rails of overhead cranes in machine-building shops during four years. The position of the heads of the crane rails was determined using a level, a transit theodolite, and a laser sight. In accordance with the requirements of regulatory documents for the operation of overhead cranes, three parameters of the position of the crane rail heads were controlled: the height difference on adjacent pillars of the same row; height difference on pillars of different rows in one transverse frame; deviation of the distance between the rails from the design value. The controlled parameters are random variables that should be analyzed by statistical methods. Deviations of the distance between the axes of the crane rails from the design value are presented in the form of a random variable with the normal distribution law. The differences in the elevation marks of the heads of the crane rails, which are monitored without taking into account the sign, are described by the distribution law of the modulus of a random variable. As a generalized characteristic of the state of crane rails, it is proposed to use the probabilities of horizontal and vertical deviations of the crane rails beyond maximum permissible values established by the norms. Based on the results of the research, conclusions were drawn about the need for systematic control of the position of overhead crane rails by geodetic methods, the applicability of the above distributions for the probabilistic description of deviations of crane rails from the design position, as well as the feasibility of using the probability of deviations of the crane rails geometry beyond the permissible values established by the norms.

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