Skip to main content
SpringerLink
Log in

The critical speed of a moving load on a prestressed plate resting on a prestressed half-plane

  • Published:
Mechanics of Composite Materials Aims and scope

Abstract

Within the framework of a piecewise homogeneous body model, with the use of the three-dimensional linearized theory of elastic waves in initially stressed bodies, the dynamical response of a system consisting of a prestressed covering layer and a prestressed half-plane to a moving load applied to the free face of the covering layer is investigated. Two types (complete and incomplete) of contact conditions on the interface are considered. The subsonic state is considered, and numerical results for the critical speed of the moving load are presented. The influence of problem parameters on the critical speed is analyzed. In particular, it is established that the prestressing of the covering layer and half-plane increases the critical speed.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J. D. Achenbach, S. P. Keshava, and G. Herrman, “Moving load on a plate resting on an elastic half space,” Trans. ASME. Ser. E., J. Appl. Mech., 34, No. 4, 183–189 (1967).

    Google Scholar 

  2. V. I. Gulyaev and M. Nabil, “Resonant interaction of a beam and elastic foundation during the motion of a periodic system of concentrated loads,” Int. Appl. Mech., 41, No. 5, 560–565 (2005).

    Article  Google Scholar 

  3. V. V. Kravets, “Evaluating the dynamic load on the high-speed railroad car,” Int. Appl. Mech., 41, No. 3, 324–329 (2005).

    Article  Google Scholar 

  4. L. Auersch, “Ground vibration due to railway traffic — calculation of the effects of moving static loads and their experimental verification,” J. Sound Vibr., 293, 599–610 (2006).

    Article  ADS  Google Scholar 

  5. A. Karslström, “An analytical model for ground vibrations from accelerating trains,” J. Sound Vibr., 293, 587–598 (2006).

    Article  ADS  Google Scholar 

  6. A. N. Guz’, Elastic Waves in Bodies with Initial (Residual) Stresses [in Russian], A. C. K. Kiev (2004).

  7. A. N. Guz’, “Elastic waves in bodies with initial (residual) stresses,” Int. App. Mechanic, 38, No. 1, 35–78 (2002).

    MathSciNet  Google Scholar 

  8. A. N. Guz’, “On foundations of the ultrasonic non-destructive method for determination of stresses in near-surface layers of solid bodies,” Int. App. Mech., 41, No. 8, 944–955 (2005).

    Article  MathSciNet  Google Scholar 

  9. S. D. Akbarov and O. Ozaydin, “The effect of initial stresses on harmonic stress fields within a stratified half-plane,” Eur. J. Mech., A/Solids, 20, 385–396 (2001).

    Article  MATH  Google Scholar 

  10. S. D. Akbarov and C. Guler, “Dynamical (harmonic) interface stress field in the half-plane covered by a pre-stretched layer under a strip load,” J. Strain Analys. Eng. Design, 40, No. 3, 225–235 (2005).

    Article  Google Scholar 

  11. S. D. Akbarov, I. Emiroglu, and F. Tasci, “The Lamb problem for a half-space covered with a pre-stretched layer,” Int. J. Mech. Sci., 47, 1326–1349 (2005).

    Article  Google Scholar 

  12. S. D. Akbarov, “The influence of the third-order elastic constant on the dynamical interface stress field in a half-space covered with the pre-stretched layer,” Int. J. Non-Linear Mech., 41, 417–425 (2006).

    Article  Google Scholar 

  13. S. D. Akbarov, “Dynamical (time-harmonic) axisymmetric interface stress field in a finite pre-strained half-space covered with a finite pre-stretched layer,” Int. J. Eng. Sci., 44, 93–112 (2006).

    Article  CAS  MathSciNet  Google Scholar 

  14. S. D. Akbarov, A. D. Zamanaov, and T. R. Suleimanov, Forced vibration of a pre-stretched two-layer slab on a rigid foundation,” Mech. Compos. Mater., 41, No. 3, 229–240 (2005).

    Article  Google Scholar 

  15. S. Yu. Babich, Yu. P. Glukhov, and A. N. Guz’, “Dynamics of a layered compressible pre-stressed half-space under the influence of moving load,” Int. Appl. Mech., 22, No. 6, 808–815 (1986).

    MATH  Google Scholar 

  16. S. Yu. Babich, Yu. P. Glukhov, and A. N. Guz’, “To the solution of the problem of the action of a live load on a two-layer half-space with initial stresses,” Int. Appl. Mech., 24, No. 8, 775–780 (1988).

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Chemistry and Metallurgy, Department of Mathematical Engineering, Yildiz Technical University, Davutpasa Campus No. 127, 34210, Esenler, Istanbul, Turkey

    S. D. Akbarov, C. Güler & E. Dincsoy

  2. Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 370141, Baku, Azerbaijan

    S. D. Akbarov

Authors
  1. S. D. Akbarov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. Güler
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. E. Dincsoy
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 43, No. 2, pp. 257–270, March–April, 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Akbarov, S.D., Güler, C. & Dincsoy, E. The critical speed of a moving load on a prestressed plate resting on a prestressed half-plane. Mech Compos Mater 43, 173–182 (2007). https://doi.org/10.1007/s11029-007-0017-z

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11029-007-0017-z

Keywords

Search

Navigation