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On the basis of method of symmetries correlations, allowing to conduct the search of new configurations of acoustic thickeners of enhanceable efficiency, which can find a wide use in an ultrasonic technique and technologies, are got. Mathematical models, which the pre-production models of thickeners by which by the lead through of technical experiment verification of positions of the offered theory is executed are created on the basis of, are built. The offered standards of thickeners were used for the study of fatigue of high-strength modern metals and alloys. Advantages of the offered models are exposed above existing, on the values of amplification of vibrations factors, and also on the values of the dispersed energy, during work of the last.