Skip to main content
SpringerLink
Log in

The Stressed State of a Stiffened Conical Shell with Thermal Protective Coating with Temperature-Dependent Properties

Russian Aeronautics volume 61, pages 156–164 (2018)Cite this article

Abstract

The equations of the mathematical model are solved in terms of special functions. The results for the design scheme of the aircraft forebody are obtained with a guaranteed accuracy by the stable method of functional normalization.

This is a preview of subscription content, access via your institution.

Access options

Buy single article

Instant access to the full article PDF.

USD 39.95

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

References

  1. Bakulin, V.N., Borzykh, S.V., and Voronin, V.V., Space Vehicle Landing Dynamics at Failure of Landing Gear, Izv.Vuz. Av. Tekhnika, 2016, vol. 59, no. 1, pp. 22–26 [Russian Aeronautics (Engl. Transl.), vol. 59, no. 1, pp. 23–28].

    Google Scholar 

  2. Novozhilov, V.V., Teoriya tonkikh obolochrk (Theory of Thin Shells), Leningrad: Sudpromgiz, 1962.

    Google Scholar 

  3. Matveenko, A.M. and Nerubailo, B.V., Voprosy prochnosti, ustoichivosti i nadezhnosti konstruktsii (The Issues of Strength, Stability and Reliability of Constructions), Moscow: MAI, 2013.

    Google Scholar 

  4. Bakulin V.N. and Potopakhin V.A., Use of the Equations of the Three-Dimensional Elasticity Theory to Solve the Multilayer Shell Dynamics Problems, Izv.Vuz. Av. Tekhnika, 1985, vol. 28, no. 3, pp. 7–12 [Soviet Aeronautics (Engl.Transl.), vol. 28, no. 3, pp. 6–11].

    Google Scholar 

  5. Vinogradov, Yu.I. and Bakulin, V.N., Experimental and Analytical Investigation of the Stressed Strained State of a Cylindrical Shell under the Action of Concentrated Radial Forces, Materials Physics and Mechanics, 2016, vol. 26, no. 1, pp. 49–52.

    Google Scholar 

  6. Materialy i pokrytiya v ekstremal’nykh usloviyakh. Vzglyad v budushcheee (Materials and Coatings in Extreme Conditions. Prospection), Reznik, S.V., Ed., Moscow: MGTU im. N.E. Baumana, 2002, vol. 1, Prediction and Analysis of Extreme Conditions, 224 p.

  7. Strakhov, V.L., Kuz’min, I,A., and Bakulin, V.N., Model of High-Temperature Thermal Properties of Rubber-Like Heat-Shielding Materials, Materialy 11-oi mezhdunarodnoi konferentsii po neravnovesnym protsessam v soplakh i struyakh (Proc. 11th Int. Conf. on Nonequilibrium Processes in Nozzles and Jets Moscow: MAI, 2016, p. 531–534.

    Google Scholar 

  8. Strakhov, V. L., Atamanov, Yu. M., Kuzmin, I. A., and Bakulin, V. N., Mathematical Modeling of High-Temperature Thermophysical Characteristics of Rubber-Like Thermal Protection Materials, High Temperature, 2017, vol. 55, no. 4, pp. 515–523.

    Article  Google Scholar 

  9. Bakulin, V.N., Kaledin, V.O., and Rassokha, A.A., Analysis of Thermoelastic Stresses in Layered Shells of Twofold Curvature, Mechanics of Composite Materials, 1988, vol. 23, no. 6, pp. 732–737.

    Article  Google Scholar 

  10. Bakulin, V.N. and Ostrik, A.V., The Combined Thermal and Mechanical Effect of Radiation and Shock Waves on a Multilayer Orthotropic Shell with a Heterogeneous Coating, Journal of Applied Mathematics and Mechanics, 2014, vol. 78, issue 2, pp. 225–235.

    MathSciNet  MATH  Google Scholar 

  11. Bakulin, V.N. and Potopakhin, V.A., Analysis of Multilayer Shells under the Action of Dynamic Loads and Heat Fluxes, Izv. AN SSSR. Mekhanika Tverdogo Tela, 1991, no. 5, pp. 156–169.

    Google Scholar 

  12. Kovalenko, A.D., Grigorenko, Ya.M., and Iliin, L.A., Teoriya tonkikh konicheskikh obolochek i ee prilozhrnie v mashinostroenii (The Theory of Thin Conical Shells and its Application in Engineering), Kiev: AN USSR, 1963.

    Google Scholar 

  13. Timoshenko, S. and Woinowsky-Krieger, S., Theory of Plates and Shells, New York: McGraw-Hill, 1959.

    MATH  Google Scholar 

  14. Hui-Shen Shen, Thermal Postbuckling Behavior of Anisotropic Laminated Cylindrical Shells with Temperature-Dependent Properties, AIAA Journal, 2008, vol. 46, no. 1, pp. 185–193.

    Article  Google Scholar 

  15. Oterkus, E., Madenci, E., Smeltzer, S., and Ambur, D., Thermo-Mechanical Analysis of Bonded Cylindrically Curved Composite Shell Structures, Proc. of the 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2006, Newport, Rhode Island, AIAA 2006–1963.

    Google Scholar 

  16. Gracheva, L.I., Thermal Stress State of a Cylindrical Thermal Protective Shell Depending on the Winding Angle of Carbon Reinforcement, International Applied Mechanics, 2014, no. 3, pp. 281–285.

    Article  Google Scholar 

  17. Bakulin, V.N. and Vinogradov, Yu.I., Analytical and Asymptotic Solution of Boundary Value Problems in the Mechanics of Deformed Shells under Concentrated Loading. Izv. Vuz. Av. Tekhnika, 2017, vol. 60, no. 1, pp. 14–20 [Russian Aeronautics (Engl. Transl.), vol. 60, no. 1, pp. 13–20].

    Google Scholar 

  18. Nerubailo, B.V., Analysis of Stresses in a Cylindrical Shell under Transverse Local Loading, Izv. Vuz. Av. Tekhnika, 2014, vol. 57, no 2, pp. 14–18 [Russian Aeronautics (Engl. Transl.), vol. 57, no. 2, pp. 127–133].

    Google Scholar 

  19. Kurennov, S.S., Koshevoi, A.G., and Polyakov, A.G., Through-Thickness Stress Distribution in the Adhesive Joint for the Multilayer Composite Material, Izv. Vuz. Av. Tekhnika, 2015, vol. 58, no. 2, pp. 10–15 [Russian Aeronautics (Engl. Transl.), vol. 58, no. 2, pp. 145–151].

    Google Scholar 

  20. Vinogradov, Yu.I. and Men’kov, G.B., Method of Functional Normalization of Solutions to Stiff Linear Ordinary Differential Equations for Boundary Value Problems, Doklady Physics, 1998, vol. 43, no. 2, pp. 122–123.

    MathSciNet  MATH  Google Scholar 

  21. Bakulin, V. N., Obraztsov, I. F., and Potopakhin, V. A., Dinamicheskie zadachi nelineinoî teorii mnogosloînykh obolochek. Deistvie intensivnykh termosilovykh nagruzok kontsentrirovannykh potokov energii (Dynamic Problems of the Nonlinear Theory of Multilayer Shells. The Action of Intense Thermopower Loading of Concentrated Energy Fluxes), Moscow: Fizmatlit, 1998.

    Google Scholar 

  22. Vasil’ev, Mekhanika konstruktsii iz kompozitsionnykh mayrtialov (Mechanics of Constructions from Composite Materials), Moscow: Mashinostroenie, 1988.

  23. Birger, I.A., Shorr, B.F., and Iosilevich, G.B., Raschet na prochnost’ detalei mashin (Strength Analysis of Machine Parts), Moscow: Mashinostroenie, 1993.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Applied Mechanics, Russian Academy of Sciences, Leningradskii pr. 7, Moscow, 125040, Russia

    V. N. Bakulin

  2. Bauman Moscow State Technical University, ul. 2-ya Baumanskaya 5, Moscow, 105005, Russia

    Yu. I. Vinogradov

  3. Russian State Social University, ul. Wilhelm Pick 4, Moscow, 129226, Russia

    G. B Men’kov

Authors
  1. V. N. Bakulin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yu. I. Vinogradov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. B Men’kov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. N. Bakulin.

Additional information

Original Russian Text © V.N. Bakulin, Yu.I. Vinogradov, G.B. Men’kov, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii, Aviatsionnaya Tekhnika, 2018, No. 2, pp. 10–17.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bakulin, V.N., Vinogradov, Y.I. & Men’kov, G.B. The Stressed State of a Stiffened Conical Shell with Thermal Protective Coating with Temperature-Dependent Properties. Russ. Aeronaut. 61, 156–164 (2018). https://doi.org/10.3103/S1068799818020022

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1068799818020022

Keywords

search

Navigation