- 1. On the issue of load’s external ballistics under low-speed transportation
- (Content №4 2024)
- ... dynamic process for cargo falling from low-speed aircraft, which makes it possible to obtain an analytical solution, which is possible in combination with a geometric representation of the dynamic process ...
- Created on 28 August 2024
- 2. Determining the parameters of the functioning for a nonlinear ballistic system in a real external environment
- (Content №2 2024)
- ... proposed, assuming the prevailing influence of the speed function along the ordinate axis compared to the function along the abscissa axis. To obtain an approximate analytical solution of the basic nonlinear ...
- Created on 01 May 2024
- 3. Mathematical models for determining and analyzing thermal regimes in mining industry mechanism structures
- (Content №6 2023)
- ... of heat conduction with appropriate boundary conditions. Findings. Quadratic equations are obtained to determine the analytical solutions of linear and nonlinear boundary problems of heat conduction ...
- Created on 23 December 2023
- 4. Analysis of numeric results for analogue of Galin’s problem in curvilinear coordinates
- (Content №1 2023)
- ... solution of the potential theory problems. Findings. An analytical solution to the interaction of an elastic anisotropic plate in the form of a curvilinear sector and a rigid stamp problem was obtained ...
- Created on 25 February 2023
- 5. Stress state of the grinding tool loaded with tangential force
- (Content №3 2022)
- ... processing in the case of its loading with a tangentially directed cutting force. Methodology. Development and analytical solution to a mathematical model formulated on the basis of static equilibrium ...
- Created on 29 June 2022
- 6. Determination of the stability of a three-layer shell of a traveling wheel with light filler
- (Content №2 2022)
- ... potential energy per unit of length equation, an equation for the critical pressure determination is determined. The analytical solution obtained was proposed for the structure of the crane travelling ...
- Created on 30 April 2022
- 7. Direct method of studying heat exchange in multilayered bodies of basic geometric forms with imperfect heat contact
- (Content №1 2021)
- ... and heat equations.Thermal Science,21(1, Part A), 133-140. https://doi.org/10.2298/TSCI160411246Y. 6. Jiang, J., & Zhou, J. (2020). Analytical solutions of Laplaces equation for layered media in a ...
- Created on 05 March 2021
- 8. Maximum surface settlement induced by shallow tunneling in layered ground
- (Contens №5 2020)
- ... https://doi.org/10.1016/j.tust.2015.04.021. 11. Pinto, F., Whittle, A. J., & Asce, M. (2014). Ground Movements due to Shallow Tunnels in Soft Ground. I: Analytical Solutions. Journal of Geotechnical ...
- Created on 30 October 2020
- 9. Simulation of heat transfer process in a multilateral cylindrical shell taking into account the internal heat sources
- (Contens №3 2020)
- Authors: R. M. Tatsiy, Dr. Sc. (Phys.-Math.), Prof., Head of the Department of Applied Mathematics and Mechanics, orcid.org/0000-0001-7764-2528, Lviv State University of Life Safety, Lviv, Ukraine, ...
- Created on 02 July 2020
- 10. Asymptotic method in two-dimensional problems of electroelasticity
- (Content №1 2020)
- ... value. With the help of the proposed approach, analytical solutions of practically important problems of electroelasticity can be obtained; estimates of the stress-strain state of products from piezoelectric ...
- Created on 10 March 2020
- 11. Prediction of transient processes in oil pipelines with the purpose of emergency incident prevention
- (Content №1 2020)
- ... of the boundary conditions at the point of origin of leakage for their implementation in the analytical solution of the transient process model in a hypothetical main oil pipeline. Practical value. According ...
- Created on 10 March 2020
- 12. Two-dimensional elastic theory methods for describing the stress state and the modes of elastic boring
- (Content №1 2020)
- ... boundary value problems of spatial theory of elasticity has been considered for finding an exact analytical solution of a two-dimensional boundary value problem that describes the distribution of stresses ...
- Created on 10 March 2020
- 13. Modeling of the heat transfer process taking into account bursting expansion of fire-retardant coating
- (Content №1 2020)
- Authors: R.M.Tatsii, Dr. Sc. (Phys.-Math.), Prof., orcid.org/0000-0001-7764-2528, Lviv State University of Life Safety, Lviv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. O.Yu.Pazen, Cand. Sc. (Tech.), ...
- Created on 10 March 2020
- 14. Mathematical modeling in the calculation of reinforcing elements
- (Geotechnical and mining mechanical engineering, machine building)
- ... considered task is new and rather difficult. It causes significant difficulties when considered. Therefore, the obtained analytical solution is a useful result for further analysis or numerical calculations. ...
- Created on 26 October 2019
- 15. Deformation of the long casing string on centralizers in the process of its installation in a horizontal well
- (Geotechnical and mining mechanical engineering, machine building)
- ... and Axial Load Transferring of Pipe in a Horizontal Well. Society of Petroleum Engineers Journal, 15(4), 1110-1124. DOI: 10.2118/120084-PA. 6. Mitchell, R. F. (2002). Exact Analytical Solutions ...
- Created on 26 October 2019
- 16. Improving the efficiency of using dump trucks under conditions of career at open mining works
- (Geotechnical and mining mechanical engineering, machine building)
- ... trucks by using the inertia forces of a moving dump truck to overcome the elevated slopes of the career roads. There is given an analytical solution of traction and braking problems when trucks overcome ...
- Created on 24 April 2019
- 17. Determination of temperature field in thermally sensitive layered medium with inclusions
- (Geotechnical and mining mechanical engineering, machine building)
- ... Brichkin, V. N. and Kuskov, V. B., 2014. Analytical solutions to certain problems of heat exchange in the processes of mining. Fiziko-tekhnicheskiye problemy razrabotki poleznykh iskopayemykh / Gornaya ...
- Created on 03 March 2019
- 18. Method for determining high-speed vehicle contact forces of the ground transport
- (Geotechnical and mining mechanical engineering, machine building)
- ... involving design variable considering reactivity or inactivity of the supporting point. The verification of obtained analytical solution is carried out on the basis of kinetostatic invariants. Findings. The ...
- Created on 03 March 2019
- 19. Control laws of electric drives as a result of an in-depth kinematic analysis of the delta robot
- (Information technologies, systems analysis and administration)
- ... model is used to describe positioning of the elements, which allows obtaining the analytical solution for the forward and inverse kinematics problem. For the verification of the proposed solution, the ...
- Created on 11 March 2018
- 20. Analytical solution of the dirichlet generalized boundary problem of heat-exchange in the finite cylinder with homogeneous layers
- (Information technologies, systems analysis and administration)
- ... cylinder with homogeneous layers in the form of convergence orthogonal series by Bessel and Fourier functions. Practical value. The obtained analytical solution of the generalized boundary problem ...
- Created on 11 January 2018