Skip to main content
Log in

Stress waves in a rod subjected to a moving load

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

Abstract

The wave processes in a semi-infinite rod located in an elastic medium and subjected to a point load moving at a constant velocity are considered. The system of two differential equations of motion of Timoshenko beam theory is solved using the Laplace transform in time. The integrals obtained are determined numerically. Variation of the bending moment on the longitudinal coordinate behind the elastic-wave front and the region of action of the point force at various times is shown. The results of the solution are influence functions.

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.

Similar content being viewed by others

References

  1. N. Z. Yakushev, “Dynamics of deformable systems subjected to moving loads. 1. Beams, rods, and, arches under moving loads,” in: Investigation on the Theory of Plates and Shells (collected scientific papers) [in Russian], Izd. Kazan. Gos. Univ., Kazan’ (1972), No. 8, pp. 3–42.

    Google Scholar 

  2. A. L. Florens, “Effect of a moving load on a Timoshenko rod,” Prikl. Mekh., No. 2, 108–116 (1965).

    Google Scholar 

  3. Ya. S. Uflyand, “Wave propagation in the case of transverse vibrations of rods and plates,” Prikl. Mat. Mekh., 12, No. 6, 287–300 (1948).

    MathSciNet  Google Scholar 

  4. S. P. Timoshenko, Vibration Problems in Engineering, Van Nostrand, Toronto-New York-London (1955).

    Google Scholar 

  5. A. B. Ainbinder and A. G. Kamershtein, Strength and Stability Calculations of Mains [in Russian], Nedra, Moscow (1982).

    Google Scholar 

  6. B. A. Boley and C. C. Chao, “Some solutions of the Timoshenko beam equations,” Trans. ASME, 77, 579–586 (1955).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 2, pp. 112–122, March–April, 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yakupov, R.G. Stress waves in a rod subjected to a moving load. J Appl Mech Tech Phys 48, 241–249 (2007). https://doi.org/10.1007/s10808-007-0031-x

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10808-007-0031-x

Key words

Navigation