Bauman Moscow State Technical University. El № FS 77-61857. ISSN 2412-5911
Mathematical Modeling of the Thermal State of the Spatial Layered Rod Structures
Mathematics and Mathematical Modelling # 01, February 2016
Article file: Mathm_Feb2016_028to037.pdf (1319.95Kb)
The paper considers the features of finite element technology to determine the temperature state of layered rod structures with complex spatial design. The area of research, on the one hand, is defined by the fact that the rod structures (frames) are so-called “skeletal framework” of aviation, machinery, shipbuilding products and structures for industrial construction and an issue of implementation of most research and industrial projects, strongly promising from the practical point of view, depends largely on the level of reliability, bearing capacity, and general performance of its “skeletal framework”. On the other hand, the laminates have a wide range and unique combination of valuable properties such as high strength, corrosion resistance, electrical conductivity, thermal conductivity, heat resistance, abrasion resistance and many others. The use of layered metal compositions allows to increase the reliability and durability of a large range of parts and equipment and to reduce significantly the consumption of high-alloyed steels and non-ferrous metals. A temperature field is one of the main factors to determine the expected performance of multilayer rod structures, operation conditions of which imply intensive thermal loading.
1. Kotovich, A.V., Stankevich I.V. Reshenie zadach teploprovodnosti metodom konechnix elementov [The solution of heat conduction problems by the finite element method]. Moscow, Bauman MSTU Publ., 2010. 84 p. (In Russian).
2. Stankevich I.V. Mathematical modeling of the thermal state of the spatial rod structures. The stationary problem. Inzhenernyy zhurnal: nauka i innovatsii = Engineering journal: science and innovation, 2013, no. 8, (in Russian). DOI:10.18698/2308-6033-2013-8-8933. Stankevich I.V. Mathematical modeling of the thermal state of the spatial rod structures. Nonstationary and nonlinear problem. Inzhenernyy zhurnal: nauka i innovatsii = Engineering journal: science and innovation, 2013, no. 8. (In Russian). DOI:10.18698/2308-6033-2013-8-8944. Stankevich I.V. Mathematical modeling of the thermal state of the spatial rod structures of heterogeneous materials. Simvol nauki, 2016, no. 1 (part 1), pp. 53–57 (in Russian).
5. Gensgeimer S.А., Gladyshev Y.A. [Some non-stationary problems of heat transfer for system of curved rods]. Matematika v sovremennom mire: materialy 2-y Rossiyskoy nauchno-prakticheskoy konferentsii [Mathematics in the modern world: Proc. of the 2nd Russian sci.-practical conference]. Kaluga, 2004, pp. 199–211. (in Russian).
6. Gensgeimer S.А. Matematicheskoe modelirovanie protsessov teploperedachi v sistemakh kontaktiruyushchikh sterzhney: avtoref. dis. kand. fiz.-mat. nauk.[Mathematical modelling of heat transfer processes in systems of the contacting terminals: PhD. phys.-math. sci. diss.]. Kaluga, 2006. 16 p. (in Russian).
7. Gladyshev Y.A. [Boundary value problems of heat conduction in systems of thin rods and shells]. Tret'ya Rossiyskaya natsional'naya konferentsiya po teploobmenu (RNKT-3): Trudy. [Proc. of the 3d Russian national conf. on heat transfer (RNKT-3)]. Moscow, 2002, vol. 7, pp. 86–89 (in Russian).
8. Denisov O.V. Razrabotka metodik teplovykh ispytaniy elementov kompozitnykh sterzhnevykh kosmicheskikh konstruktsiy: avtoref. dis. kand. tekhn. nauk. [The development of techniques for thermal testing of composite rod elements of space structures: PhD. tech. sci. diss.]. Moscow, 2009, 16 p. (in Russian).
9. Denisov O.V. Kalinin D.U., Reznik S.V. Modeling the thermal state of the composite rod elements of space structures. Vestnik MGTU im. N.E. Baumana. Ser. Mashinostroenie = Ser. Mechanical engineering, 2008, spec. iss, pp. 183-192 (in Russian).
10. Meshkovsky V.Е. Heating mode of the truss reflector of large transformable space antenna. Inzhenernyy zhurnal: nauka i innovatsii = Engineering journal: science and innovation, 2013, no. 7. DOI:10.18698/2308-6033-2013-7-852
Publications with keywords: finite element technology, laminated rod structures, non-stationary temperature task, non-linear temperature task, complex application programs
Publications with words: finite element technology, laminated rod structures, non-stationary temperature task, non-linear temperature task, complex application programs