Investigation of Nonlinear Vibrations in Multi-Degree-of-Freedom Mechanical Systems: Regular and Chaotic Behavior Research Group
1. Research Team
Principal Investigator: Prof. Oleksiy Larin
Prof. Yuri Mikhlin
Ms. Yulia Surganova
Ms. Yana Lebedenko
2. Research Focus
Exploring nonlinear oscillations and resonances in mechanical and structural systems
Analyzing bifurcation scenarios that lead to chaotic dynamics in coupled oscillatory systems
Applying asymptotic and perturbation techniques based on nonlinear normal modes to predict stability and transitions to chaos
3. Key Projects
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 Mathematical Modeling and Intelligent Computing in Engineering NTU KhPI, the project granted by the National Research Foundation of Ukraine “ Excellence Science in Ukraine entitled “Vibration protection of devices, equipment, cargo and people from dynamic influences in emergency conditions based on the study of nonlinear oscillations of complex structure systems with controlled and passive elements” is being carried out (2024-2026):
The project focuses on developing theoretical foundations and efficient algorithmic procedures to enhance vibration protection for people and goods exposed to significant dynamic impacts, particularly those arising from emergencies, including military operations. It involves computational and analytical studies to investigate the dynamic behavior of active and passive damping models for dynamically loaded equipment, especially during transportation under cyclic, random, and impulsive external loads. The research aims to identify the regularities of dynamic damping, assess the influence of model parameters on vibration protection effectiveness, and develop control algorithms for active vibration protection components. Additionally, practical recommendations for optimal design solutions will be provided.
In collaboration with the Department of Computer Modeling of Processes and Systems NTU KhPI, the project entitled Composite Metamaterials for Aerospace Structures‘ was conducted with funding from the Ministry of Education and Science of Ukraine (0124U003710), (completed in September 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.
4. Contact Information
Department of MMI , NTU “KhPI”
Principal Investigator Contact:
Prof. Oleksiy Larin
Email: