Vibration, Stability, and Damage Assessment in Composite and Functionally Graded Structures Using Analytical-Numerical Approaches and the Finite Element Method Research Group
1. Research Team
Principal Investigator: Prof. Oleksiy Larin
Prof. Lidiya Kurpa
Mr. Vyacheslav Burlayenko
Ms. Olga Mazur
Ms. Galina Timchenko
2. Research Focus
Developing analytical-numerical approaches for solving vibration and stability problems in composite and functionally graded material structures
Utilizing R-functions, differential transform method and finite element method to model beams, plates, and shells with complex geometries
Investigating the effects of delamination, cutouts, and size-scale influences on the dynamic behavior, stability, and structural strength of composite and functionally graded material structures
3. Key Projects
In collaboration with the Department of Mathematical Modeling and Intelligent Computing in Engineering NTU KhPI, the project granted by the Ministry of Education and Science of Ukraine (0124U000975), entitled ‘Development of Mathematical Models and Methods for Solving Problems of Dynamics and Strength of Structures Made of Single-Crystal Alloys and Metal Matrix Composites,’ is being carried out. (2024-2026):
This project focuses on the development of mathematical models for the elasticity, plasticity, and creep behavior of monocrystalline alloys and metal-matrix composites. It aims to create innovative methods for designing composite materials with tailored anisotropic physical properties by integrating advanced numerical micromechanical analysis techniques. Additionally, the project seeks to develop new approaches for evaluating the stress-strain state of structural elements made from monocrystalline alloys under high-temperature static and dynamic loading conditions
In collaboration with the Department of Computer Modeling of Processes and Systems NTU KhPI, the project granted by NATO Science for Peace and Security Programme entitled «Composite Metamaterials for Aerospace Structures – CoMetA» is being carried out (2024-2026):
The project focuses on developing innovative composite metamaterials for aerospace structures. By integrating fiber-reinforced layers with 3D-printed honeycomb cores, the project aims to propose lightweight materials with superior mechanical and thermal properties for demanding aerospace applications.
In collaboration with the Department of Computer Modeling of Processes and Systems NTU KhPI, the project granted by the Ministry of Education and Science of Ukraine (0124U003710), entitled Composite Metamaterials for Aerospace Structures‘ has been completed (2024):
The project addressed the analysis of metamaterial panels, including mechanical characterization of the inner layer, auxetic plate bending, and comparison of 3D and 2D orthotropic models. It also examined the eigenvalue problem of three-layer plates and the static bending of honeycomb-filled composites made via additive manufacturing. Additionally, the dynamics of shallow shells were studied using Donnell’s equations and the Galerkin method, highlighting vibration and beating modes. The vibrations of functionally graded porous sigmoid sandwich plates with complex geometries were also analyzed using the Rayleigh-Ritz method to assess natural frequencies and porosity effects.
In collaboration with the Department of Technical Mechanics at Ruse University, the research project 22-МТФ-01, titled “Investigation of Technological Parameters of Friction Stir Welding of Aluminum Alloys”, was conducted with funding from the Scientific Research Fund of Angel Kanchev University of Ruse, Bulgaria (completed in December 2022):
The project investigated critical parameters affecting the friction stir welding (FSW) of aluminum alloys, including tool geometry, rotational speed, traverse speed, tilt angle, and axial force. These factors significantly influence heat generation, weld quality, residual stresses, and resulting deformations. Combining experimental studies with numerical simulations, the research aimed to optimize welding conditions to enhance joint integrity and structural performance.
4. Contact Information
Department of MMI , NTU “KhPI”
Principal Investigator Contact:
Prof. Oleksiy Larin
Email: