Research advisor Andrieiev Yurii

Research profiles

E-mail: Yurii.Andrieiev@khpi.edu.ua

Research profile

Scientific research is related to the development and implementation of analytical computer algorithms and programs in the field of multibody discrete mechanical systems with planar and spatial motions with geometric and kinematic constraints, including nonholonomic, unilateral, and nonstationary constraints. Nowadays, these are various robotic systems – spatial manipulators, walking and other transport robots. Such algorithms include analytical computer algorithms for solving direct and inverse kinematics problems of spatial mechanisms of modern robots, calculations of steady-state and transient dynamic processes in such mechanisms and machines, and implementation of such algorithms in the developed special computer algebra system SCAS KiDyM.

Proposed PhD Research Areas

1Computer modeling of motions of spatial mechanisms of robotic systems based on analytical solutions of kinematics problems.

2Computer modeling of motions of spatial mechanisms of robotic systems based on the automatic formulation of dynamic equations and construction of a mechanical and mathematical model.

3Computer modeling of motions of walking, wheeled, tracked, and flying robots based on analytical and numerical solutions of mechanic’s problems.

Research Projects and International Collaboration

1Performer in the state-funded research project “Development of algorithmic support for aircraft navigation and control systems under interference or incomplete information”, № ДР 0125U002362, 2025.

2Performer in the state-funded research project “Development of methods and algorithms for modeling UAV swarm behavior”, № ДР 0122U200637, 2024.

3Consultant at the NPO “Vertical” (Kharkiv) on issues of mechanic’s calculations of spatial manipulators and walking robots.

Selected publications

1Andrieiev Y. M., Shabanov H. V. Analitychne rozviazannia obernenoi zadachi kinematyky shestystupenevykh kutovykh manipuliatoriv z urakhuvanniam nespivvisnostei. Bulletin of the National Technical University “KhPI”. Series: Mathematical Modeling in Engineering and Technologies. 2026. No. 1(10). pp. 3–19. DOI: https://doi.org/10.20998/2222-0631.2026.01(10).01 [in Ukrainian].

2Andrieiev Y., Breslavsky D., Shabanov H., Naumenko K., Altenbach H. Solution to the Inverse Problem of the Angular Manipulator Kinematics with Six Degrees of Freedom. Applied Sciences. 2025. Vol. 15, No. 5. Article 2840. DOI: https://doi.org/10.3390/app15052840 (Q2).

3Andrieiev Y. M., Holovnia O. O. Vektorno-matrychni rivniannia dynamiky dyskretnykh neholonomnykh mekhanichnykh system u psevdokoordynatakh i kvaternionakh. Bulletin of the National Technical University “KhPI”. Series: Dynamics and Strength of Machines. 2025. No. 2. pp. 115–126. DOI: https://doi.org/10.20998/2078-9130.2025.2.347534 [in Ukrainian].

4Andrieiev Y. M., Lavinsky D. V., Druzhynin Ye. I. Teoretychne obgruntuvannia dlia praktychnoi realizatsii analitychnoho kompiuternoho pobuduvannia dynamichnykh rivnian v psevdokoordynatakh kerovanoho polotu BPLA. Bulletin of the National Technical University “KhPI”. Series: Dynamics and Strength of Machines. 2025. No. 1. pp. 12–20. DOI: https://doi.org/10.20998/2078-9130.2025.1.332027 [in Ukrainian].