Sessions 2024-2025

The possibility of improving the efficiency of the diffuser at supersonic speeds is analyzed in the research. The aim of the work is to investigate ways to increase the total pressure in the working part of the diffuser due to the reorganisation of the shock-wave structure formed by the interaction of the shock wave with the heated region. The study is carried out by means of numerical modelling of the problem in Ansys Fluent. The geometry of a diffuser with a central pipe has been proposed, and the effect of energy input on the stability of the system of shock waves has been investigated. It is found out that no strong local heating is required to create such a shock-wave structure and its control. The regime at which the pressure rise has a pulsation character is obtained and described in detail.

Tibial fractures constitute a significant proportion of all lower leg injuries, which underscores the relevance of improving the efficacy of their treatment. This paper presents a study aimed at developing a biomechanical model of the tibia for the personalization of surgical treatment. A three-dimensional solid model was created and verified based on computed tomography data, enabling the analysis of stress and strain under various types of load. The simulation results demonstrate the advantages of individualized preoperative planning, including the selection of the optimal method of osteosynthesis and implant, which serves to reduce the risk of complications and improve treatment outcomes. The application of this approach holds promise for significantly enhancing the quality of care in traumatology and orthopedics.

Free vibrations of a thin prismatic isotropic shell with square cross-section are studied in the paper. It was shown previously that the vibration frequencies and modes may be divided into “shell-like”, “plate-like” and “beam-like”. The impact of the shell length, thickness, and side edges’ boundary conditions imposed on the spectrum the vibration frequencies and modes is discussed in the report. Vibration modes classification, which is related to the shell side edges' boundary conditions, is obtained. A good agreement between the results from both numerical experiments and analytical calculations is attained.