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Department of Theoretical and Applied Mechanics

Ihor Andriyovych Loza – the Head of the Department, Doctor of Physical and Mathematical Sciences, Professor.

The Department of Theoretical and Applied Mechanics was founded in 1944. Its head was an outstanding Ukrainian scientist, mechanic, Doctor of Physical and Mathematical Sciences, Professor Mykola Oleksandrovych Kilchevskyi, who was later elected Academician of the USSR Academy of Sciences. Further on, Theoretical Mechanics was taught at the Department of Construction Mechanics, later – at the Department of the Resistance of Materials. After the departments reorganization in 1987, the Department of Theoretical and Applied Mechanics was established and was headed by Doctor of Technical Sciences, Professor Olexandr Olehovych Rasskazov. The present Head of the Department Ihor Andriyovych Loza, Doctor of Physical and Mathematical Sciences, Professor has been working since 2015.

The department has six full-time employees, including two doctors of physical and mathematical sciences, two candidates of physical and mathematical sciences, one candidate of technical sciences, including two professors and three associate professors.

Department staff:

Ihor Andriyovych Loza – Head of department,  Doctor of Physical and Mathematical Sciences, Professor.

Lilia Stepanivna Rozhok – Professor at the department, Doctor of Physical and Mathematical Sciences, Professor.

Igor Leonidovich Solovyov – Associate Professor of the Department, Candidate of Technical Sciences, Associate Professor.

Lesya Anatoliivna Kruk – Associate Professor at the department, Candidate of Physical and Mathematical Sciences, Associate Professor.

Vsevolod Mykhaylovych  Melʹnyk –  Associate Professor of the Department, Candidate of Physical and Mathematical Sciences.

Lyubov Vasylivna Lihay –  Head of the Laboratory.

The department’s teachers provide teaching of disciplines of mathematical, natural science, professional and practical training for bachelor’s level higher education applicants, including: theory of mechanisms and machines; theoretical mechanics; theoretical and applied mechanics, technical mechanics; applied mechanics; dynamics of mechanical systems; differential equations; linear algebra and analytic geometry; numerical methods, elements of function theory and functional analysis, theory of unstable sets, as well as for postgraduate students – mathematical modeling in scientific research.

Educational and methodological works of the department’s teachers:

  • Gonchar M.O. Theory of mechanisms and machines: textbook. – Kyiv: Vinnychenko Publishing House, 2011. – 456 p
  • Dmytrychenko M. F., Honchar M. O. and others. Technical Mechanics: textbook for students of higher education institutions / Dmytrychenko M. F., Honchar M. O., Nikolayenko V. A. – K.: NTU,
    2018. – 364 p.
  • Gonchar M. O., Kruk L. A., Nikolayenko V. A., Rozhok L. S., Stepanenko T. S. Theory of mechanisms and machines. Course design: textbook / Ed. M. O. Gonchar. – Kyiv: NTU, 2022. – 222 p.
  • Loza I. A., Rozhok L. S., Kruk L. A. Theoretical mechanics section “Statics”: textbook. Kyiv: NTU. – 2022. – 93 p.
  • L.S. Rozhok, L.A. Kruk, I.L. Solovyov, V.M., Melnyk Methodological instructions for performing the test work in the discipline “Theoretical Mechanics” (part 1: sections “Statics”, “Kinematics”) for applicants: level of higher education – first (bachelor’s), form of obtaining higher education – correspondence, field of knowledge 14 “Electrical Engineering”, specialty 142 “Power Engineering”, educational and professional program “Automobile Engines”. – K.: NTU, 2025. – 59 p.
  • Rozhok L.S., Kruk L.A., Solovyov I.L., Melnyk V.M.. Methodical instructions for performing the test work in the discipline “Theoretical Mechanics” (part 2: sections “Dynamics”, “Analytical Mechanics”) for applicants: level of higher education – first (bachelor’s), form of obtaining higher education – correspondence, field of knowledge 14 “Electrical Engineering”, specialty 142 “Power Engineering”, educational and professional program “Automobile Engines”: K.: NTU, 2025. – 47 p.
  • Loza I. A., Rozhok L.S., Melnyk V.M., Solovyov I.L. Methodological instructions for performing independent work on the discipline “Linear Algebra and Analytical Geometry” for applicants: level of higher education – first (bachelor’s), field of knowledge F “Information Technologies”, specialty F4 “Systems Analysis and Data Science”, educational and professional program “Systems Analysis in Transport Infrastructure”. Kyiv: NTU, 2025. – 70 p.
  • Loza I.A., Rozhok L.S., Glushchenko Y.A., Kruk L.A. Methodological instructions for completing tasks for independent work in the discipline “Mathematical modeling in scientific research” for postgraduate students of the specialty “Construction and civil engineering” – K.: NTU, 2021. −78 p.
  • Loza I.A., Rozhok L.S., Glushchenko Y.A., Kruk L.A. Methodological instructions for completing tasks for independent work in the discipline “Differential equations”. Part I “Differential equations of the first order” for full-time students of the field of knowledge “Information technologies” specialty “System analysis”. – K.: NTU, 2021. −78 p.
  • Loza I.A., Rozhok L.S., Glushchenko Y.A., Kruk L.A. Methodological instructions for completing tasks for independent work in the discipline “Elements of Function Theory and Functional Analysis”. Part 1. Set Theory for students of specialty 124 “System Analysis” of the full-time form of education. – Kyiv: NTU, 2021. – 48 p.
  • Loza I.A., Rozhok L.S., Kruk L.A. Methodological instructions for studying the course and completing tasks for independent work in the discipline “Elements of the Theory of Functions and Functional Analysis”. Part 2. Theory of compressive operators for students of the specialty “System Analysis” of the full-time form of education – K.: NTU, 2022. – 44 p.
  • Rozhok L.S., Loza I.A., Kruk L.A. Methodical instructions for studying the course and completing tasks for independent work in the discipline “Theoretical Mechanics” section STATICS for full-time students of the specialty for full-time students of the specialty 194 “Hydrotechnical construction, water engineering and water technologies” of the educational and professional program “Hydrotechnical structures in transport construction” – K.: NTU, 2023. − 40 p.
  • Rozhok L.S., Loza I.A., Kruk L.A. Methodical instructions for studying the course and completing tasks for independent work in the discipline “Theoretical Mechanics” section STATICS for full-time students of the specialty 192 “Construction and Civil Engineering” of the educational and professional programs “Highways, Streets and Roads of Settlements”, “Airports, Airfield Structures and Facilities”, “Bridges and Transport Tunnels”, “Technologies of Building Structures, Products and Materials” – K.: NTU, 2023. − 40 p.
  • Rozhok L.S., Loza I.A., Kruk L.A. Methodical instructions for studying the course and completing tasks for independent work in the discipline “Theoretical Mechanics” section STATICS for full-time students of the specialty 142 “Power Engineering” of the educational and professional programs “Automotive Engines”, “Maintenance and Diagnostics of Automobile Engines”, “Hybrid and Electric Automobile Power Plants” – K.: NTU, 2023. − 36 p.
  • Rozhok L.S., Loza I.A., Kruk L.A. Methodical instructions for studying the course and completing independent work tasks in the discipline “Theoretical Mechanics” section STATICS for full-time students of the specialty 133 “Industrial Mechanical Engineering” of the educational and professional programs “Automobile Vehicles”, “Construction and Road Machinery and Equipment”, “Operation, Testing and Service of Machines” – Kyiv: NTU, 2023. – 36 p.
  • Loza I.A., Rozhok L.S., Kruk L.A. Methodical instructions for studying the course and completing laboratory work in the discipline “Numerical Methods” for full-time students of the specialty 124 System Analysis of the educational and professional program “System Analysis in Transport Infrastructure”. – Kyiv: NTU, 2023. 64 p.
  • Loza I.A., Rozhok L.S., Kruk L.A. Methodical instructions for studying the course and performing semester tests in the discipline “Theoretical Mechanics” for students of specialty 274 Motor Transport of the educational program “Motor Transport” of the correspondence form of education – Kyiv: NTU, 2023. 72 p.

The Main Research Areas at the Department of Theoretical and Applied Mechanics:

development of layered structures for road and bridge construction, improvement of large-sized dump truck tire designs, including:

  • research of electroelastic vibrational and wave processes in inhomogeneous bodies with piezoelectric properties;
  • mechanics of a deformed solid, in particular the mechanics of plates and shells;
  • dynamics of interaction of a system of bodies of various geometric shapes with an ideal incompressible fluid;
  • nonlinear vibrations of cylindrical shells with a fluid; vibrations and stability of structures subjected to moving inertial loads

Scientific works of the department staff:

  • Ya. Grigorenko, I. A. Loza, V. M. Melnyk, S. O. Sperkach. Effect of electrical boundary conditions and direction of polarization of piezoceramics on spectral characteristics of axisymmetric acoustoelectric waves in hollow cylinder. Int Appl Mech , Vol. 60, No. 3, May, 2024.
  • Rozhok L., Sperkach S., Vasil’eva L. Solving of Stress State Problems of Anisotropic Thick Noncircular Cylindrical Shells with Different Nonhomogeneous Structures Based on Discrete Continual Approach. Selected Problems of Solid Mechanics and Solving Methods. Advanced Structured Materials, vol 204. Springer, Cham., 2024, Chapter, p. 425 – 441.
  • Rozhok L.S., Kruk L.A., Isaienko H.L., Shevchuk L.O.  Stress state modeling of non-circular orthotropic hollow cylinders under different types of loading // Mathematical Modeling and Computing. Vol. 11, No. 2, pp. 583–592 (2024).
  • Rozhok, L.S. Numerical Analysis of the Stress State of Near-Circular Hollow Cylinders Made of Functionally Graded Materials // J. of Mech. Eng., 2024, vol. 27, no. 2, pp. 43-53.
  • Grigorenko O.Ya., Rozhok L.S., Kruk L.A., Boreyko N.P., Kharytonova L.V. Numerical solution of the problem of the stress state of non-thin inhomogeneous cylindrical elliptical shells based on the spatial model // Reports of the National Academy of Sciences of Ukraine, (3), 18–26.
  • Grigorenko, A., Loza, I., Sperkach, S. et al. Propagation of axisymmetric electroelastic waves in a homogeneous and a continuously inhomogeneous piezoceramic solid cylinder under the mechanical excitation. Continuum Mech. Thermodyn. 35, 2053–2079 (2023).
  • Grigorenko, Y.М., Rozhok, L.S. On the Equilibrium of Nonthin Cylindrical Shells with a Dent. J Math Sci 272, 80–92 (2023).
  • Grygorenko, O.Y., Rozhok, L.S. Stress State of Non-Thin Elliptical Cylindrical Shells Under a Local Longitudinal Load. Int Appl Mech 59, 153–165 (2023).
  • Grygorenko, O.Y., Rozhok, L.S., Onyshchenko, A.M. et al. Modeling the Stress State of Non-Thin Cylindrical Shells with a Perturbed Cross-Sectional Shape. Int Appl Mech 59, 270–283 (2023).
  • Grigorenko, Alexander Ya., Müller, Wolfgang H., Loza, Igor. Selected Problems in the Elastodynamics of Piezoceramic Bodies. Advanced Structured Materials. Springer International Publishing. 2021. 210 р.
  • Rozhok L.S. Equilibrium of non-thin cylindrical shells with oval cross section under the action of surface load. Innovative paradigm of the development of modern physicalmathematical sciences: Collective monograph. Riga, Latvia: “Baltija Publishing”, 2022, Р. 125 – 155.
  • Grigorenko Ya.M., Rozhok L.S. Stress Analysis of Hollow Orthotropic Cylinders with Oval Cross-Section // Int. App. Mech. – 2021 – 57, № 2 – P. 160 – 171.
  • Grigorenko, I. A. Loza. Forced Axisymmetric Vibrations of an Electrically Excited Hollow Sphere Made of a Continuously Inhomogeneous Piezoceramic Material. International Applied Mechanics. Vol. 56, is. 6, 2020, pp. 674–689.
  • Ya. Grigorenko, Ya. M. Grigorenko, I. A. Loza. Numerical Analysis of Dynamical Processes in Inhomogeneous Piezoceramic Cylinders (Review). International Applied Mechanics. Vol. 56, is. 5, 2020, pp. 523–571.

Address: office 612, 42 Boychuk Str., 01010 Kyiv, Ukraine.

Phone: +38 (044) 286-38-89

E-mail: tpm.kafedra@ntu.edu.ua

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