Title of the article | ON NATURAL BOUNDARY CONDITIONS IN THE STABILITY LOSS PROBLEM OF A PLATE WITH AN ELLIPTICAL INCLUSION UNDER TENSION |
Authors |
KASHTANOVA Stanislava V., Ph. D. in Phys. and Math., Researcher, Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, Saint-Petersburg, Russian Federation, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it. RZHONSNITSKIY Alexey V., Senior Lecturer of the Department of Mathematics, Saint-Petersburg State Institute of Technology, Saint-Petersburg, Russian Federation, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it. |
In the section | DYNAMICS, DURABILITY OF VEHICLES AND STRUCTURES |
Year | 2023 |
Issue | 1(62) |
Pages | 18–22 |
Type of article | RAR |
Index UDK | 51-72, 519.635.6 |
DOI | https://doi.org/10.46864/1995-0470-2023-1-62-18-22 |
Abstract | This paper studies the issue of determination and influence of natural boundary conditions in the problem of buckling of a thin plate with an elliptical inclusion under tension. First, the naturalness of the boundary conditions of the “free edge” type for a plate with a hole is proved. Then a plate with welded inclusion is considered and natural boundary conditions are derived. The limit cases are checked for an absolutely soft inclusion and for an absolutely rigid one. It is shown that the first case leads to a problem with a hole and the corresponding natural boundary conditions, and in the second case, to the absence of natural conditions, since a problem with a clamped edge occurs. The authors conclude that the use of additional restrictions will lead to the construction of a basis that will rapid up the convergence of the method. Variational methods are widely used in all fields of mechanics, including in the field of machine, aircraft, and rocket engineering. An exact solution to the problems of elasticity theory and structural mechanics is not always possible to construct, therefore, in practice, great importance is attached to various approximate methods. Among them a special place is occupied by variational methods based on the direct minimization of the corresponding energy of the body and making it possible to build approximate analytical solutions in the form of a functional series. The goal of variational methods is to construct a partial sum of this series, which, with a sufficient number of terms, will be maximum close to the solution. However, the issue of convergence is influenced by many factors, and one of them is the natural boundary conditions, which are derived in this paper for the problem of the stability loss of the plate with the elliptical inclusion under tension. |
Keywords | variational methods, natural boundary conditions, stability loss under tension |
You can access full text version of the article. | |
Bibliography |
|
Title of the article | FEATURES OF STABILIZATION OF RING BLANKS |
Authors |
ANTONYUK Vladimir E., D. Sc. in Eng., Assoc. Prof., Chief Researcher of the Laboratory of Metallurgy in Mechanical Engineering of the R&D Center “Mechanical Engineering Technologies and Processing Equipment”, Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it. NIKIFOROVICH Sergey O., Director General, OJSC “BELAZ” — Management Company of Holding “BELAZ-HOLDING”, Zhodino, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it. |
In the section | DYNAMICS, DURABILITY OF VEHICLES AND STRUCTURES |
Year | 2023 |
Issue | 1(62) |
Pages | 11–17 |
Type of article | RAR |
Index UDK | 621.7 |
DOI | https://doi.org/10.46864/1995-0470-2023-1-62-11-17 |
Abstract | Ring blanks are in demand in various branches of mechanical engineering in the production of large-sized bearings, turbine disks, special gears and other critical products. Besides high requirements to the ring blanks in terms of geometric dimensional accuracy, material structure and mechanical properties, in some cases the most important requirement is their production with absence of residual stresses and high stability of geometric shape. Specific features of ring rolling may lead to the occurrence of residual stresses, the magnitude of which is impossible to determine by the known methods of defect control. The paper analyzes the causes of shape error and residual stresses in the production of ring blanks in the process of ring rolling and heat treatment. The article also assesses the possibility of using different methods of shape stabilization and reduction of residual stresses in the manufacture of ring blanks for critical engineering products: expandable, thermal, thermomechanical, vibratory and ultrasonic treatment. For ring blanks designed for manufacturing critical parts, it is suggested to use shape stabilization and residual stresses reduction by means of cyclic loading after ring rolling and thermal treatment. The design scheme and force parameters of a device for stabilizing ring blanks on the basis of a double-acting lever-hinge mechanism are determined. The ring-rolling complex created at the Belarusian Automobile Plant will have potential opportunities to produce ring blanks for manufacturing of critical products in transport machine-building, aviation, space, defense and chemical industries of the Russian Federation. The results of the analysis of the methods for shape stabilization and reduction of residual stresses of ring blanks are planned to be used in the creation of this complex. |
Keywords | ring blank, ring, stabilization, residual stresses, cyclic loading, ring rolling, heat treatment |
You can access full text version of the article. | |
Bibliography |
|
Title of the article | DEEP CONTACT ENDURANCE LIMIT OF SURFACE-HARDENED GEARS |
Authors |
RUDENKO Sergei P., Ph. D. in Eng., Leading Researcher of the Laboratory of Metallurgy in Mechanical Engineering of the R&D Center “Mechanical Engineering Technologies and Processing Equipment”, Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it. VALKO Aleksandr L., Senior Researcher of the Laboratory of Metallurgy in Mechanical Engineering of the R&D Center “Mechanical Engineering Technologies and Processing Equipment”, Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">valсThis email address is being protected from spambots. You need JavaScript enabled to view it. SANDOMIRSKI Sergei G., D. Sc. in Eng., Assoc. Prof., Head of Laboratory of Metallurgy in Mechanical Engineering of the R&D Center “Mechanical Engineering Technologies and Processing Equipment”, Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it. |
In the section | DYNAMICS, DURABILITY OF VEHICLES AND STRUCTURES |
Year | 2023 |
Issue | 1(62) |
Pages | 5–10 |
Type of article | RAR |
Index UDK | 621.78 |
DOI | https://doi.org/10.46864/1995-0470-2023-1-62-5-10 |
Abstract | The reliability and durability of gears in most cases depend on the contact endurance of the material of the parts. Analysis of the stress state of surface-hardened gears has shown that under contact loading, the source of primary damage can be located both on the surface and in the depth of the hardened layer. The greatest danger is deep destruction. To prevent deep pitting, it is necessary to ensure a sufficient amount of the maximum allowable stresses in the depth of the layer, exceeding the effective equivalent stresses. The value of the allowable stresses is determined by the value of the contact endurance limit, depending on the mechanical properties of the material. The article discusses the results of experimental studies of the contact fatigue resistance of transmission gears of energy-saturated mobile machines made of cemented steel grades. It is established that the limit of contact endurance is related to the hardness of the material, determined by the Rockwell method, by a linear dependence. This dependence is taken as a basis for a comparative analysis of the calculated lifetime and experimentally established in the process of bench tests of gears. Taking into account the nonlinear nature of the ratio of hardness values determined by the Rockwell and Vickers scales, the relationship is obtained between the limit of deep contact endurance and the value of hardness measured by the Vickers scale with a load of 1.961 N. It is shown that the results of comparison of calculated and experimental data are greatly influenced by the limiting state of the deep contact pitting of the teeth of the tested gears. Statistical processing of calculated and experimental data was carried out. It is found that with the identity of the limiting state of the active surfaces of the gear teeth, the results of the lifetime calculation correspond to experimental data with a correlation coefficient of 0.964 and an average standard deviation of 13 %. The obtained expression for calculating the limit of deep contact endurance contributes to increasing the reliability of calculating the lifetime of gears provided by the resistance of deep contact fatigue. |
Keywords | gears, bench tests, contact deep pitting, contact fatigue resistance, lifetime calculation, deep contact endurance limit |
You can access full text version of the article. | |
Bibliography |
|