STRUCTURAL DESIGN AND TAILORING OF COMPOSITES TO OBTAIN NEAR ZERO COEFFICIENT OF LINEAR THERMAL EXPANSION

SHIL’KO Sergey V., Ph. D. in Eng., Assoc. Prof., Head of the Laboratory, V.A. Belyi Metal-Polymer Research Institute of the NAS of Belarus, Gomel, 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.

PETROKOVETS Ekaterina M., Researcher, V.A. Belyi Metal-Polymer Research Institute of the NAS of Belarus, Gomel, 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.

ZHANG Qiang, D. Sc. in Eng., Prof., Professor, Harbin Institute of Technology, Harbin, People’s Republic of China, 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.

measuring instrument, microelectronics elements, functional materials, aluminum alloys, auxetics, zirconium tungstate, thermal expansion, residual stresses, finite element analysis

1. Molodtsov G.A., Bitkin V.E., Simonov V.F., Urmansov F.F. Formostabilnye i intellectualnye konstruktsii iz kompozitsionnykh materialov [Form-stable and intelligent composite structures]. Moscow, Mashinostroenie Publ., 2000. 352 p.
2. Goldade V., Shil’ko S., Neverov A. Smart Materials Taxonomy. CRC Press, Taylor & Francis Group, 2015. 277 p.
3. Zhang Q., et al. The Thermal Expansion and Mechanical Properties of High Reinforcement Content SiCp/Al Composites Fabricated by Squeeze Casting Technology. Composites: Part A, 2003, vol. 34, pp. 1023–1027.
4. Zhang Q., Wu G., Sun D., Luan B. Study on the Thermal Expansion and Thermal Cycling of AlNp/Al Composites. Journal of Materials Science & Technology, 2002, vol. 18, no. 1, pp. 63–65.
5. Sun L., Sneller A., Kwon P. ZrW₂O₈-Containing Composites with Near-Zero Coefficient of Thermal Expansion Fabricated by Various Methods: Comparison and Optimization. Composites Science and Technology, 2008, vol. 68, no. 15–16, pp. 3425–3430.
6. Wu G., Zhou C., Zhang Q., Pei R. Decomposition of ZrW₂O₈ in Al Matrix and the Influence of Heat Treatment on ZrW₂O₈/ Al–Si Thermal Expansion. Scripta Materialia, 2015, vol. 96, pp. 29–32.
7. Zhou C., et al. Microstructure and Thermal Expansion Analysis of Porous ZrW₂O₈/Al Composite. Journal of Alloys and Compounds, 2016, vol. 670, pp. 182–187.
8. Ito T., Suganuma T., Wakashima K. A Micromechanics-Based Analysis for Tailoring Glass-Fiber-Reinforced Thermoplastic Laminates with Near-Zero Coefficients of Thermal Expansion. Composites Science and Technology, 2000, vol. 60, no. 9, pp. 1851–1861.
9. Konyok D.A., Wojciechowski K.V., Pleskachevsky Yu.M., Shilko S.V. Materialy s otrizsatelnym koefficientom Puassona (Obzor) [Materials with Negative Poisson’s Ratio (Review)]. Mechanics of Composite Materials and Constructions, 2004, vol. 10, no. 1, pp. 35–69.
10. Lakes R., Wojciechowski K.W. Negative Compressibility, Negative Poisson’s Ratio, and Stability. Physica Status Solidi, 2008, vol. 245, no. 3, pp. 545–551.
11. Lehman J., Lakes R.S. Stiff, Strong, Zero Thermal Expansion Lattices via Material Hierarchy. Composite Structures, 2014, vol. 107, pp. 654–663.
12. Wei K., et al. Planar Lattices with Tailorable Coefficient of Thermal Expansion and High Stiffness Based on Dual-Material Triangle Unit. Journal of the Mechanics and Physics of Solids, 2016, vol. 86, pp. 173–191.

LOAD OF CUTTING UNITS DRIVES OF MINING EQUIPMENT. PART 2. TECHNIQUE OF COMPLEX MONITORING OF LOADING PARAMETERS OF THE DRIVE GEAR OF THE CUTTING UNIT

ROMANOVICH Alexander S., Director General, UPE “Niva”, Soligorsk District, Republic of Belarus

KANAPLIANIK Ivan A., Ph. D. in Eng., Deputy Director General for Technical Policy and Innovations, UPE “Niva”, Soligorsk District, 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.

The article presents the results of studies that showed that when monitoring the loading of the drive of the cutting body of a combine that combines vibrodiagnostics with the traditional assessment of the parameters of its functioning, its information content can be significantly increased, and the assessment of not only the state of the cutting bodies, but the actual resistance of the potash salt layer to destruction, which allows for the selection of the most rational, in terms of ensuring the highest performance, geometry and properties of the cutters, as well as a technically and economically reasonable choice of the range of variation of the speed of the combine and forecasting its performance and the cutting body associated with this technical condition. A comprehensive monitoring methodology has been developed for the electromechanical actuator of the cutting body, taking into account the influence on the loading parameters of the cutting condition of the cutting organ and the resistance of potash ore to cutting, the implementation of which makes it possible to quickly determine the causes of increased load related to either an increase in resistance of solid to cutting or breakage of the cutters for the rapid elimination of the latter.

vibrations, gear, monitoring, loading, modes of operation, drive

1. Gabov V.V., Tretyakov N.M., Modestov Yu.A. Pribor kontrolya rezhimov raboty gornykh mashin INM-1 [The control device modes of operation of mining machinery INM-1]. Mekhanizatsiya gornykh rabot na ugolnykh shakhtakh [Mechanization of mining operations in coal mines], 1984, pp. 59–63.
2. Trifanov M.G. Kontrol parametrov raboty i otsenka tekhnicheskogo sostoyaniya privodov prokhodchesko-ochistnykh kombaynov “Ural-20R” [Control of operation parameters and assessment of technical condition of drives of Ural-20R heading-and-winning machines]. Sbornik trudov 2 Mezhdunarodnoy nauchno-prakticheskoy konferentsii “Innovatsionnye sistemy planirovaniya i upravleniya na transporte i v mashinostroenii” [Proc. 2nd International scientific and practical conference “Innovative planning and management systems in transport and engineering”]. Saint Petersburg, 2014, vol. 2., pp. 82–85.
3. Trifanov M.G., Shishlyannikov D.I. Sredstva obektivnogo kontrolya, kak instrument povysheniya effektivnosti ekspluatatsii prokhodchesko-ochistnykh kombaynov kaliynykh rudnikov [Means of objective control as a tool to improve the efficiency of operation of heading-and-winning machines for potash mines]. Sbornik trudov 3 Mezhdunarodnoy nauchno-prakticheskoy konferentsii “Innovatsii na transporte i v mashinostroenii” [Proc. 3rd International scientific and practical conference “Innovations in transport and engineering”]. Saint Petersburg, 2015, vol. 1, pp. 106–108.
4. Chekmasov N.V., Trifanov M.G., Shishlyannikov D.I., Ivanov S.L. Metody otsenki tekhnicheskogo sostoyanoya i resursa mekhanicheskikh transmissiy prokhodchesko-ochistnogo kombayna “Ural-20R” [Methods for assessing the technical state of the resource and mechanical transmissions heading shearer “Ural-20R”]. Gornyy informatsionno-analiticheskiy byulleten [Mining informational and analytical bulletin], 2014, no. 4, pp. 272–278.
5. Stax R., Koopmann M. Salzohne Grenzen: Die chilenische SPL globalisiert den Geschäftsbereich Salts der K+S Gruppe. Kali und Steinsalz, 2009, no. 1, pp. 22–31.
6. Shishlyannikov D.I., Chekmasov N.V., Trifanov M.G., Ivanov S.L., Zvonarev I.E. Substantiation of the rational method to control the operating and technical-condition parameters of a heading-and-winning machine for potash mines. Journal of Machinery Manufacture and Reliability, 2015, vol. 44, no. 3, pp. 283–287.
7. Shishlyannikov D.I., Chekmasov N.V., Gabov V.V., Ivanov S.L., Asonov S.A. Povyshenie effektivnosti ekspluatatsii prokhodchesko-ochistnykh kombaynov kaliynykh rudnikov na osnove analiza zapisey registratorov parametrov [Improving the efficiency of combines potash mines in the analysis of records]. Gornoe oborudovanie i elektromekhanika [Mining Equipment and Electromechanics], 2015, no. 4(113), pp. 3–10.
8. Barkov A.V., Barkova N.A., Borisov A.A., Fedorishchev V.V., Grishchenko D.V. Metodika diagnostirovaniya mekhanizmov s elektroprivodom po potreblyaemomu toku [Method of diagnosing mechanisms with electric drive on the consumed current]. Saint Petersburg, NOU “Sevzapuchtsentr” Publ., 2012. 68 p.
9. Chekmasov N.V., Trifanov M.G. Metodika provedeniya izmereniy rezhimov raboty dvigateley kombaynov [Methods of measuring the operating modes of combine engines]. Perm, OOO “RKTs” Publ., 2001. 12 p.
10. Poddubnaya A.A., Fokin A.S., Ivanov S.L., Ivanov A.S., Semenov M.A. Pilotnaya diagnostika sostoyaniya transmissiy gornykh mashin po parametram pitaniya elektroprivoda [Preliminary diagnostics of the state of transmissions of mining machines according to the parameters of power supply of the electric drive]. Zapiski Gornogo instituta [Notes of Mining Institute], 2008, vol. 178, pp. 159–161.
11. Trifanov M.G. Otsenka nagruzhennosti privodov prokhodcheskoochistnykh kombaynov “Ural-20R” dlya vybora tekhnicheski obosnovannykh rezhimov raboty v realnykh usloviyakh ekspluatatsii. Diss. kand. tekhn. nauk [Evaluation of load of drives of heading-and-winning machines “Ural-20R” to select technically justified modes in actual operating conditions. Ph. D. Thesis]. Perm, 2018. 164 p.
12. Salnikov A.F. Vibroakusticheskaya diagnostika tekhnicheskikh obektov [Vibroacoustic diagnostics of technical objects]. Perm, Permskiy natsionalnyy issledovatelskiy politekhnicheskiy institut Publ., 2011. 247 p.
13. Gepotanov V.N., Aleshin Yu.N. Vybor dlitelnosti khronometrazhnykh nablyudeniy pri issledovaniyakh nadezhnosti zaboynogo oborudovaniya [The choice of duration of time observations at researches of reliability of the bottom-hole equipment]. Izvestiya vuzov. Gornyy zhurnal [News of the higher institutions. Mining Journal], 1972, iss. 7, pp. 31–35.
14. Sumkanov A.I., Zotov V.V., Kubrin S.S. Razrabotka metodiki otsenki sostoyaniya oborudovaniya ochistnykh kompleksov gornykh predpriyatiy [Development of methods for assessing the condition of equipment of treatment complexes of mining enterprises]. Gornyy informatsionno-analiticheskiy byulleten [Mining informational and analytical bulletin], 2012, no. 10, pp. 260–264.
15. Shishlyannikov D.I. Ispolzovanie registratorov parametrov raboty prokhodchesko-ochistnykh kombaynov pri prognozirovanii gazodinamicheskikh yavleniy na kaliynykh rudnikakh [Usage of recorders of work settings of tunneling-clearing combines at forecasting of gas-dynamic phenomena on potash mines]. Izvestiya Uralskogo gosudarstvennogo gornogo universiteta [News of the Ural State Mining University], 2016, no. 1(41), pp. 106–111.
16. Grinberg Ya.P., Solovev V.S. Sposob avtomaticheskogo upravleniya skorostyu podachi ugolnykh kombaynov i ustroystvo dlya ego osushchestvleniya [A method of automatic control of the feed rate of coal combines and a device for its implementation]. Patent RF, no. 2066757, 1996.
17. Grinberg Ya.P., Solovev V.S., Rudakov V.V. Sposob avtomaticheskogo regulirovaniya nagruzki privoda rezaniya ugolnykh kombaynov [Method of automatic load control of coal harvester cutting drive]. Patent RF., no. 2170820, 2001.
18. Chekmasov N.V., Shishlyannikov D.I., Trifanov M.G., Asonov A.S. Sposob upravleniya gornym kombaynom s planetarnodiskovym ispolnitelnym organom [A method of controlling a mining combine with a planetary-disk actuator]. Patent RF, no. 2618630, 2017.
19. Sazhin R.A. Avtomatizatsiya tekhnologicheskikh protsessov gornogo proizvodstva [Automation of technological processes of mining production]. Perm, Permskiy gosudarstvennyy tekhnicheskiy universitet Publ., 2009. 198 p.
20. Starkov L.I., Zemskov A.N., Kondrashev P.I. Razvitie mekhanizirovannoy razrabotki kaliynykh rud [Development of mechanized development of potash ores]. Perm, Permskiy gosudarstvennyy tekhnicheskiy universitet Publ., 2007. 522 p.
21. State Standard 12.44.258-84. Kombayny ochistnye. Vybor parametrov i raschet sil rezaniya i podachi na ispolnitelnykh organakh. Metodika [Shearers. Selection of parameters and calculation of cutting and feeding forces on actuators. Method]. Moscow, Ministerstvo ugolnogo mashinostroeniya Publ., 1986. 108 p.
22. Semenov V.V. Obosnovanie i vybor parametrov ispolnitelnykh organov prokhodchesko-ochistnykh kombaynov novogo pokoleniya dlya dobychi kaliynykh rud. Diss. kand. tekhn. nauk [Justification and choice of parameters of actuators of new generation heading-and-winning machines for potash ore mining. Ph. D. Thesis]. Tula, 2011. 219 p.
23. Starovoytov Yu.V. Povyshenie nadezhnosti i effektivnosti ispolzovaniya vysokonagruzhennogo oborudovaniya ochistnykh kompleksov na kaliynykh rudnikakh. Diss. dokt. tekhn. nauk [Improving the reliability and efficiency of the use of highloaded equipment of treatment facilities at potash mines. D. Sc. Thesis]. Soligorsk, 2014. 288 p.
24. Romanovich A.S., Kanaplianik I.A. Nagruzhennost privodov rezhushchikh organov gornogo oborudovaniya. Chast 1. Metodicheskie podkhody k monitoringu tekhnicheskogo sostoyaniya rezhushchego organa ochistnogo kombayna po parametram nagruzhennosti ego privoda [Load of cutting units drives of mining equipment. Part 1. Methodological approaches to monitoring of technical condition of shearer cutting unit by parameters of its drive load]. Mekhanika mashin, mekhanizmov i materialov [Mechanics of machines, mechanisms and materials], 2019, no. 2(47), pp. 20–28.
25. Kombayn prokhodchesko-ochistnoy “UNIVERSAL-600”. RUKOVODSTVO PO EKSPLUATATSII [Heading-and-winning machine “UNIVERSAL-600”. MAINTENANCE MANUAL]. Soligorsk, OAO “LMZ Universal” Publ. 111 p.

LOAD OF CUTTING UNITS DRIVES OF MINING EQUIPMENT. PART 2. TECHNIQUE OF COMPLEX MONITORING OF LOADING PARAMETERS OF THE DRIVE GEAR OF THE CUTTING UNIT

PANTELEENKO Fedor I., Corresponding Member of the NAS of Belarus, D. Sc. in Eng., Prof., Head of the Department “Powder metallurgy, Welding and Materials Technology”, Belarusian national technical university, 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.

BELOTSERKOVSKY Marat A., D. Sc. in Eng., Assoc. Prof., Head of the Laboratory of Gas-Thermal Methods of Machine Components Hardening, 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.

KARPETS Maksim N., Ph. D. Student, Belarusian national technical university, 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.

SOSNOVSKY Aleksey V., Ph. D. in Eng., Leading Researcher, 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.

hypersonic metallization, electric arc spraying, metal coatings, physical and mechanical properties

1. Belotserkovsky M.A., Pryadko A.S., Cherepko A.E. Ustroystvo dlya vysokoskorostnogo napyleniya pokrytiy (varianty) [Device for high-speed coating spraying (options)]. Patent RB, no. 4365, 2002.
2. Belotserkovsky M.A., Dyuzhev A.A., Pryadko A.S., Cherepko A.E., Skvortsov V.A., Sosnovsky A.V. Sposob giperzvukovoy metallizatsii poverkhnosti detali i ustroystvo dlya ego osushchestvleniya [A method of hypersonic metallization of the surface of the part and a device for its implementation]. Patent EU, no. 024778, 2016.
3. Volovik E.L. Spravochnik po vosstanovleniyu detaley [Parts recovery guide]. Moscow, Kolos Publ, 1981. 351 p.
4. Rumyantsev S.I., Borshchov V.F., Bodnev A.G., Boyko N.G., Kolyasinskiy Z.C., Kryukov V.P., Sinelnikov A.F. Remont avtomobiley [Automobile repair]. Moscow, Transport Publ., 1981. 462 p.
5. Katts N.V. Metallizatsiya raspyleniem [Metal spraying]. Moscow, Mashinorostroenie Publ., 1966. 200 p.
6. Hasui A., Morigaki O. Naplavka i napyilenie [Surfacing and spraying]. Moscow, Mashinostroenie Publ., 1985. 240 p.
7. Belotserkovsky M.A., Sosnovsky A.V., Pryadko A.S., Yalovik A.P., Trusov D.I. Vybor tekhnologicheskikh parametrov protsessa naneseniya stalnykh pokrytiy metodom giperzvukovoy metallizatsii [Selecting the technological parameters of steel coatings formation by hypersonic metallization]. Mekhanika mashin, mekhanizmov i materialov [Mechanics of machines, mechanisms and materials], 2015, no. 3(32), pp. 52–58.
8. Tushinskiy L.I., Plokhov A.V., Tokarev A.O., Sindeev V.I. Metody issledovaniya materialov. Struktura, svoystva i protsessy naneseniya neorganicheskikh pokrytiy [Methods of materials study. Structure, properties and processes of deposition of inorganic coatings]. Moscow, Mir Publ., 2004. 384 p.
9. Ibatullin I.D., Karlova M.D., Zagidullina D.R. Pribory i metody otsenki kachestva pokrytiy [Devices and methods of the estimation of quality of coverings]. Izvestiya Samarskogo nauchnogo tsentra RAN [News of Samara Scientific Center of the Russian Academy of Sciences], 2016, vol. 18, no. 4(2), pp. 291–296.
10. Korobov Yu.S. Analiz svoystv gazotermicheskikh pokrytiy. Chast 2. Otsenka parametrov pokrytiy [Analysis of properties of gas-thermal coatings. Part 2. Assessment of coating parameters]. Ekaterinburg, Uralskiy universitet Publ., 2016. 92 p.

ISOTHERMAL LOCAL LOADING OF AN ELASTOPLASTIC THREE-LAYER PLATE

PLESKACHEVSKY Yuriy M., Corresponding Member of the NAS of Belarus, D. Sc. in Eng., Prof., Head of the Department “Micro and Nanotechnology”, Belarusian National Technical University, 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.

STAROVOITOV Eduard I., D. Sc. in Phys. and Math., Prof., Head of the Department “Structural Mechanics”, Belarusian State University of Transport, Gomel, 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.

LEONENKO Denis V., D. Sc. in Phys. and Math., Assoc. Prof., Professor of the Department “Structural Mechanics”, Belarusian State University of Transport, Gomel, 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.

The effect of circular, annular and linear uniformly distributed axisymmetric loads on a round three-layer plate with asymmetric thickness is considered. The analytical type of loads is described using the Heaviside function. The materials of the bearing layers of the plate are elastoplastic, the filler is physically nonlinear. For the asymmetric in thickness three-layer plate we have accepted the kinematic hypothesis of a broken normal. In the thin external layers the Kirchhoff’s hypotheses are accepted. The filler is no compressible through thickness. It’s normal subject to the hypothesis Timoshenko. The work of arising shear stresses is taken into account. The formulation of a boundary value problem is given. The equilibrium equations are obtained by the Lagrange variational method. Boundary conditions on the plate contour are formulated. The solution to the boundary problem is reduced to finding the three required functions: deflection, shear and radial displacements of the middle plane of the filler. For these functions, an inhomogeneous system of ordinary nonlinear differential equations is obtained. Its solution was carried out by the Ilyushin elastic solution method. It is shown that the fifth approximation can be taken as the desired solution, since its difference from the previous one does not exceed 1 %. Iterative analytical solutions are obtained in Bessel functions. Their parametric analysis is carried out. Numerical results are obtained for a plate which layers are recruited from D16T–fluoroplast-4–D16T materials which mechanical characteristics, including nonlinearity functions, were obtained earlier. The boundary conditions correspond to the hinge support of the plate contour. The influence of the physical nonlinearity of the layer materials on the displacements in the plate is investigated. It is shown that the increase in calculated displacements during elastoplastic deformation in the plate is up to 20 %.

three-layer circular plate, circular and ring loads, elasticity, plasticity

1. Lugovoi P.Z., Meish Yu.A. Nonstationary Deformation of Longitudinally and Transversely Reinforced Cylindrical Shells on an Elastic Foundation. International Applied Mechanics, 2016, vol. 52, no. 1, pp. 62–72.
2. Ivañez I., Moure M.M., Garcia-Castillo S.K., Sanchez-Saez S. The oblique impact response of composite sandwich plates. Composite Structures, 2015, no. 133, pp. 1127–1136.
3. Starovoitov E.I., Leonenko D.V., Yarovaya A.V. Vibration of circular sandwich plates under resonance loads. International Applied Mechanics, 2003, vol. 39, no. 12, pp. 1458–1463.
4. Pleskachevsky Yu.M., Starovoitov E.I., Leonenko D.V. Dinamika krugovykh metallopolimernykh plastin na uprugom osnovanii. Chast 1. Svobodnye kolebaniya [Dynamics of circular metal-polymer plates on an elastic base. Part 1. Free oscillations]. Mekhanika mashin, mekhanizmov i materialov [Mechanics of machines, mechanisms and materials], 2008, no. 4(5), pp. 48–51.
5. Pleskachevsky Yu.M., Starovoitov E.I., Leonenko D.V. Dinamika krugovykh metallopolimernykh plastin na uprugom osnovanii. Chast II. Vynuzhdennye kolebaniya [Dynamics of circular metal-polymer plates on an elastic base. Part 1. Forced oscillations]. Mekhanika mashin, mekhanizmov i materialov [Mechanics of machines, mechanisms and materials], 2009, no. 1(6), pp. 48–51.
6. Pleskachevsky Yu.M., Kubenko V.D., Starovoitov E.I., Leonenko D.V. Kolebaniya krugovoy metallopolimernoy plastiny, svyazannoy s uprugim osnovaniem, pri teplovom udare [Vibrations of a circular metal-polymer plate connected to an elastic base under thermal shock]. Mekhanika mashin, mekhanizmov i materialov [Mechanics of machines, mechanisms and materials], 2009, no. 4(9), pp. 50–54.
7. Starovoitov E.I., Leonenko D.V. Resonant effects of local loads on circular sandwich plates on an elastic foundation. International Applied Mechanics, 2010, vol. 46, no. 1, pp. 86–93.
8. Starovoitov E.I., Leonenko D.V., Pleskatshevsky Yu.M. Kolebaniya trekhsloynykh tsilindricheskikh obolochek v uprugoy srede Vinklera pri rezonanse [Vibrations of the three-layered cylindrical shells in the elastic Winkler’s medium at resonance]. Mekhanika mashin, mekhanizmov i materialov [Mechanics of machines, mechanisms and materials], 2013, no. 4(25), pp. 70–73.
9. Gorshkov A.G., Starovoitov E.I., Yarovaya A.V. Cyclic loading of elastic-plastic bodies in neutron flux. Mechanics of Solids, 2001, vol. 36, no. 1, pp. 64–70.
10. Yang L., Harrysson O., West H., Cormier D. Comparison of Bending Properties for Cellular Core Sandwich Panels. Materials Sciences and Applications, 2013, vol. 4, no. 8, pp. 471–477.
11. Lee C.R., Sun S.J., Каm Т.Y. System parameters evaluation of flexibly supported laminated composite sandwich plates. AIAA Journal, 2007, vol. 45, no. 9, pp. 2312–2322.
12. Zenkour A.M., Alghamdi N.A. Bending Analysis of Functionally Graded Sandwich Plates under the Effect of Mechanical and Thermal Loads. Mechanics of Advanced Materials and Structures, 2010, vol. 17, no. 6, pp. 419–432.
13. Starovoitov E.I., Yarovaya A.V., Leonenko D.V. Deformirovanie uprugogo trekhsloynogo sterzhnya lokalnymi nagruzkami [Deformation of elastic three-layer rod by local loads]. Problemy mashinostroeniya i avtomatizatsii [Engineering and automation problems], 2001, no. 4, pp. 37–40.
14. Zhuravkov M.A., Starovoitov E.I., Leonenko D.V. Nelineynoe deformirovanie uprugoplasticheskogo trekhsloynogo sterzhnya lokalnoy nagruzkoy [The second deformation of the three-layer elastoplastic rod by local load]. Mekhanika mashin, mekhanizmov i materialov [Mechanics of machines, mechanisms and materials], 2016, no. 3(36), pp. 71–79.
15. Starovoitov E.I., Zakharchuk Yu.V. Nelineynoe deformirovanie trekhsloynoy plastiny so szhimaemym zapolnitelem [Nonlinear deformation of circular sandwich plates with compressible filler]. Mekhanika mashin, mekhanizmov i materialov [Mechanics of machines, mechanisms and materials], 2019, no. 3(48), pp. 26–33.
16. Starovoitov E.I., Leonenko D.V., Tarlakovskii D.V. Thermalforce deformation of a physically nonlinear three-layer stepped rod. Journal of Engineering Physics and Thermophysics, 2016, vol. 89, no. 6, pp. 1582–1590.
17. Starovoitov E.I., Leonenko D.V. Deformirovanie trekhsloynogo sterzhnya v temperaturnom pole [Deformation of three-layer beam in a temperature field]. Mekhanika mashin, mekhanizmov i materialov [Mechanics of machines, mechanisms and materials], 2013, no. 1(22), pp. 31–35.
18. Starovoitov E.I., Leonenko D.V. Termouprugoe deformirovanie trekhsloynoy krugloy plastiny poverkhnostnymi nagruzkami razlichnykh form [Thermoelastic deformation of three-layer circular plate by a surface loads of various forms]. Mekhanika mashin, mekhanizmov i materialov [Mechanics of machines, mechanisms and materials], 2018, no. 1(42), pp. 81–88.
19. Starovoitov E.I., Leonenko D.V. Thermoelastic bending of a sandwich ring plate on an elastic foundation. International Applied Mechanics, 2008, vol. 44, no. 9, pp. 1032–1040.
20. Starovoitov E.I., Leonenko D.V., Tarlakovskiy D.V. Deformirovanie trekhsloynoy krugovoy tsilindricheskoy obolochki v temperaturnom pole [Deformation of three-layer circular cylindrical shell in the thermal field]. Problemy mashinostroeniya i avtomatizatsii [Engineering and automation problems], 2016, no. 1, pp. 91–97.
21. Starovoitov E.I., Dorovskaya E.P. Razvitie teorii rascheta sloistykh konstruktsiy [Development of the theory of calculation of layered structures]. Mekhanika mashin, mekhanizmov i materialov [Mechanics of machines, mechanisms and materials], 2007, no. 1(1), pp. 48–52.
22. Starovoitov E.I., Nagiyev F.B. Foundations of the theory of elasticity, plasticity and viscoelasticity. Toronto, New Jersey, Apple Academic Press, 2012. 346 p.
23. Starovoitov E.I. Description of the thermomechanical properties of some structural materials. Strength of materials, 1988, vol. 20, no. 4, pp. 426–431.
24. Starovoitov E.I. Soprotivlenie materialov [Strength of materials]. Moscow, FIZMATLIT Publ., 2008. 384 p.