Sessions 2024-2025

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Man is a slow, sloppy, and brilliant thinker;
computers are fast, accurate, and stupid.

October 7, 2025

A.A. Pikulina (St. Petersburg State University)
Biomechanical Model of the Tibia
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.
Anna A. Pikulina – a first-year master's student of the Faculty of Mathematics and Mechanics at St. Petersburg State University and a graduate of Saratov National Research State University. Her research interests include biomechanics.

September 9, 2025

G.T. Dzebisashvili (St. Petersburg State University)
Free vibrations of the prismatic shells with square cross-section
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.
Georgii T. Dzebisashvili – graduate of the Department of Theoretical and Applied Mechanics, Faculty of Mathematics and Mechanics, St. Petersburg State University. Research Interests: shell theory, vibrations of thin-walled constructions.