Scientific Activity

The department's staff addresses fundamental and applied problems related to the development and improvement of theories and methods for calculating the strength and stability of elements of modern structures used in construction, machine engineering, and aviation and space technology. Research is conducted on flat and spatial structural elements made of homogeneous and multilayer shells of revolution with complex shapes, panels, and plates made of composite materials, which are characterized by significant anisotropy of physical properties.

Main research directions:

• development of modified variational principles for obtaining geometrically nonlinear systems of equations for the stress-deformed state (SDS) and stability of shells of revolution in three-dimensional and refined formulations;
• use of variants of geometrically nonlinear theory to solve problems of SDS, stability, and post-critical behavior of shells of revolution with anisotropic layers that have one plane of elastic symmetry;
• study of the effects on anisotropic shells of axial compression, uniform external compression, twisting, and combinations of these loads;
• creation of new physically linear and nonlinear refined models for calculating the SDS of plates with orthotropic layers, including on elastic and rigid foundations; accounting for effects from transverse compression deformations, transverse shear, full or partial delaminations, and the influence of thermal fields;
• development of calculation methods for SDS of shells of arbitrary shape using the hypothesis of straight verticals;
• solving problems of finding optimal parameters of rod systems under dynamic loads.

At the request of the Ministry of Education and Science of Ukraine, under the guidance of Prof. Trach V.M., the department's staff carried out scientific programs on the following research topics: I-3 'Development of theoretical foundations for the calculation of statically indeterminate structures made of composite materials under different loading modes' (State registration No. 0101U001892), I-59 'Scientific and technical aspects of the development of mathematical models and the implementation of calculation methods for structures made of composite materials based on them' (State registration No. 0199U001924), I-17 'Development of nonlinear theory and construction of methods for solving stability problems of layered shells of complex geometry' (State registration No. 0104U003125), I-28 'Development of a mixed variational principle and methods for solving nonlinear problems in the mechanics of composite shells' (State registration No. 0107U004177), I-60 'Solving problems of nonlinear mechanics of anisotropic composite and nanocomposite shells of revolution in refined formulations' (State registration No. 0113U004051).

In the post-war period, the Departments of Strength of Materials and Construction Mechanics employed four doctors of technical and physical-mathematical sciences, 28 candidates of technical sciences. Five doctoral and ten candidate theses were prepared for defense and defended. Five monographs were published, eight contractual and five state budget works were completed. Five author certificates were obtained, and more than 1000 scientific articles were published.

Since 2010, a postgraduate program in 'Construction Mechanics' and a scientific laboratory 'Applied Mechanics' have been functioning at the department.

Doctoral dissertations

1. Kolenchuk Kuzma Ivanovich (Doctor of Technical Sciences since 20.11.1948) 'The effect of humidity changes on the strength of wooden structure elements'.
2. Trach Volodymyr Myroslavovych (Doctor of Technical Sciences since 20.03.2009) 'Nonlinear deformation and stability of anisotropic shells of revolution made of layered fiber composites'.
3. Kundrat Mykola Mykhailovych (Doctor of Technical Sciences since 05.07.2007) 'Models and methods for predicting local destruction in plate elements of structures with thin inclusions and reinforcements under steady and cyclic loads'.
4. Trach Roman Volodymyrovych (Doctor of Technical Sciences since 01.02.2022) 'Cognitive mechanisms for managing construction projects based on BIM technologies'.
5. Podvornyi Andriy Volodymyrovych (Doctor of Technical Sciences since 02.10.2024) 'Deformation, dynamics, and stability of structurally anisotropic cylindrical shells in spatial formulations'.

The department of bridges, tunnels, and construction mechanics has student scientific clubs.

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