Skip to main content
Log in

Self-modeling problems in the dynamic bending of beams

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

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

Instant access to the full article PDF.

Literature cited

  1. L. I. Sedov, Similarity and Dimensional Methods in Mechanics [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  2. P. Duve, D. Clark, and Kh. Bonenblyust, “Behavior of long beams under impact loads,” [Russian translation], Collection of Translations in Mechanics, No. 3 (1950).

  3. A. I. Lur'e, Operational Calculation and Its Application in Mechanical Problems [in Russian], Gostekhizdat, Moscow (1951).

    Google Scholar 

  4. Pol and Fu, “Semiinfinite beam with a velocity discontinuity given at the end face,” Prikl. Mekh., No. 1 (1967).

  5. C. C. Fu, “Closed-form solutions of an infinite beam under impact loading,” Int. J. Solids Struct.,3 (1967).

  6. D. Muchichescu, “Sur la propagation des ondes transversales dans une barre élastique infinie,” Rev. Roumaine Math. Pures. Appl.,XV, No. 2 (1970).

  7. A. I. Tseitlin, “Oscillations of semiinifinte rods and cylindrical shells,” in: Dynamics of Structures [in Russian], Izd. V. A. Kucherenko TsNII, Moscow (1971).

    Google Scholar 

  8. L. I. Slepyan, Nonstationary Elastic Waves [in Russian], Sudostroenie, Leningrad (1972).

    Google Scholar 

  9. Yu. P. Samarin, “Application of self-similar solutions to the problem of oscillations of an elastic membrane expanding from a point,” in: Mechanics [in Russian], Izd. V. V. Kuibyshev Polytechnical Institute, Kuibyshev (1967).

    Google Scholar 

  10. I. M. Ryzhik and I. S. Gradshtein, Table of Integrals, Series, and Products, Academic Press (1966).

  11. Handbook for Shop Structural Mechanics [in Russian], Vol. 1, Sudpromgiz, Leningrad (1958).

  12. A. P. Filippov and S. S. Kokhmanyuk, Dynamic Action of Moving Loads on Rods [in Russian], Naukova Dumka, Kiev (1967).

    Google Scholar 

  13. W. Stadler and R. E. Shreeves, “The transient and steady-state response of the infinite Bernoulli-Euler beams with damping and elastic foundation,” Q. J. Mech. Appl. Math.,23, Pt. 2 (1970).

  14. F. Ladislaw, Vibration of Solids and Structure under Moving Loads, Czech. Acad. Sci. Prague (1972).

    Google Scholar 

  15. Tables of Fresnel Integrals [in Russian], Izv. Akad. Nauk SSSR, Moscow (1953).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnickeskoi Fiziki, No. 1, pp. 158–164, January–February, 1981.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yastrebov, V.P. Self-modeling problems in the dynamic bending of beams. J Appl Mech Tech Phys 22, 133–139 (1981). https://doi.org/10.1007/BF00911587

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00911587

Keywords

Navigation