The problem of stability maintenance for underground workings becomes more urgent as the depth of mining increases. Currently, combination of rock bolts or cables and steel frames has become popular among practitioners. Manufacturer use such support for providing entry stabilities in complex geologic environments. However, the number of publication concerning testing of steel frame yielding support is limited, especially benchmark testing when parameters of the frame are controlled in laboratory and may be monitored comprehensively. Purpose. To establish variation regularities of resistance and steel yielding arches during its benchmark testing. Methodology. Methods are based on thermodynamics of irreversible processes and consideration of interactions of the adjacent frames and their elements when under the ground pressure. We employed the probability theory and mathematical statistics to investigate these regularities. Findings. It was found that fluctuations of the frames resistance and their yielding provide a lot of important information concerning non-linear behavior of metal support systems. We have done spectral and correlation analysis to investigate parameters of the fluctuations and proved that the yielding occurs in an anti-phase mode. Originality. It was the first time when spectral characteristics of the frame resistance and yielding fluctuation have been determined as well as the fact that resistance of adjacent frames and their structural elements is realized in an anti-phase mode. Practical value. Necessity to improve frame support systems by decreasing the fluctuation period of resistance to ground pressure and yielding was substantiated. Possible range of fluctuation of yielding and resistance were justified.

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