Nuclear and High Energy Physics, Mathematical Physics, Nuclear Energy and Engineering, Multidisciplinary
18
Scopus Publications
Scopus Publications
Mathematical analogy of the propagation of mechanical motion in a robotic structure through the model of the equation of thermal conductivity Ibratjon X. Aliyev, Sherzod B. Karimov, Boxodir X. Karimov, Tursun A. Ahmedov, Maksadjon M. To'xtasinov, Fayzullo Sh. Baratov Proceedings of SPIE the International Society for Optical Engineering, 2026 In this study, mathematical modeling of the problem of increasing the smoothness of the mechanical movement of robotic structures is performed. Important analogies have been established with the physico-mathematical model of the thermal conductivity equation, which in this case describes the degree of propagation of mechanical motion in various positions of a robotic limb. The method of separation of Fourier variables and spatial transformation is applied to reduce the solution with 15 degrees of freedom. The method is also common for cases of different spatial locations of the described model along with its corresponding cylindrical coordinate system. As a conclusion, the main theses and the necessary evidence are presented, demonstrating a decrease in the degree of wear and friction forces for models with an increased degree of smoothness. At the same time, it is assumed that the model will be further expanded using visualization.
On the modern possibilities of transmitting a discrete signal between systems using the tunneling effect Ibratjon X. Aliyev, Sultonali M. Abdurakhmonov, Erkinjon Kholmatov, Nurmakhamad Juraev, Mamatisa Djalilov Proceedings of SPIE the International Society for Optical Engineering, 2025 The paper presents a study on modeling the quantum mechanical process of tunneling a beam of charged particles to transmit information over long distances. The Schrodinger equation was used to solve the problem and boundary and initial conditions were formulated in the course of the work. The established initial conditions are the values of the quantum mechanical probability function at a different point in time, depending on the distance. Experimental data were used as data for the calculation, the solution of the problems was carried out using the method of separation of Fourier variables. The parameters of the simulated system with its features and corresponding graphical representations are established. Conclusions on the effect of tunneling in the transmission of information are formulated on the basis of the results obtained.
Analysis of the process of heat transfer in space Inomjon Bilolov, Jamshid Otajonov, Sharobiddin Isroilov, Dilnozaxon Mavlonova, Sultonali Abdurakhmonov, Ibratjon Aliev E3s Web of Conferences, 2024