Skip to main content
Log in

Determination of dynamic bed parameters for calculation of torsional oscillations

  • Soil Mechanics
  • Published:
Soil Mechanics and Foundation Engineering Aims and scope

Abstract

A computational scheme is proposed for determination of the stiffness coefficients of embedded noncircular foundations subject to torsion. Calculations are performed in accordance with the method of boundary integral equations (BIE), and empirical formulas are developed for calculation of stiffness coefficients, including formulas with consideration given to loss of contact between a portion of the lateral surface of the foundation and soil. Assumptions relative to determination of damping coefficients are given. A comparison is made with experimental data on the oscillations of experimental foundations, and preference is demonstrated for the proposed method of calculation.

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. G. Gazetas, “Analysis of machine foundations: state of the art,” Int. J. Soil Dyn. Earthquake Eng., 2, No. 1, 2–42 (1983).

    Article  Google Scholar 

  2. M. L. Kholmyanskii, “Consideration of the effect of embedment depth and lateral backfilling of machine foundations on the dynamic properties of their beds,” Osn. Fundam. Mekh Gruntov, No. 5, 17–19 (1991).

    Google Scholar 

  3. M. Novak and K. Sachs, “Torsional and coupled vibration of embedded footings,” Earthquake Eng. Struct. Dyn., 2, No. 7, 11–33 (1973).

    Google Scholar 

  4. V. A. Baranov, On calculation of the forced oscillations of an embedded foundation, Problems of Dynamics and Strength [in Russian], No. 14, Riga (1967), pp. 195–209.

    Google Scholar 

  5. J. E. Luco, “Torsion of a rigid cylinder embedded in an elastic half space,” J. Appl. Mech., 43, No. 4, 419–423 (1976).

    Google Scholar 

  6. V. A. Il'ichev and M. L. Kholmyanskii, Consideration of embedment depth in determining the stiffness and damping coefficients of beds, foundations, and underground structures, Theses of Papers Presented at the Seventh All-Union Conference [in Russian], Moscow (1989), pp. 31–32.

  7. R. N. Arnold, G. N. Bycroft, and G. B. Warburton, “Forced vibrations of a body on an infinite elastic solid,” J. Appl. Mech., 22, No. 3, 391–400 (1955).

    Google Scholar 

  8. M. L. Kholmyanskii, “Calculation of the stiffness coefficients of inhomogeneous beds of machine foundations with dynamic loads,” Tr. Vses. Nauchno-issled. Inst. Osn. Podzem. Sooruzh., No. 87, 125–133 (1987).

    Google Scholar 

  9. F. E. Richart, R. D. Woods, and J. R. Hall, Vibration of Soils and Foundations, Prentice-Hall, Englewood Cliffs (1970).

    Google Scholar 

  10. E. Reissner and H. F. Sagoci, “Forced torsional oscillations of an elastic half space,” J. Appl. Phys., 15, No. 9, 652–654 (1944).

    Article  Google Scholar 

  11. J. Dominguez and J. M. Roesset, Dynamic stiffness of rectangular foundations, Research report R78-20, Massachusetts Institute of Technology, Cambridge, Mass. (1978).

    Google Scholar 

  12. M. L. Kholmyanskii, “Determination of the stiffness coefficients of beds of embedded machine foundations by the method of boundary integral equations,” Tr. Vses. Nauchno-issled. Inst. Osn. Podzem. Sooruzh., No. 86, 81–102 (1986).

    Google Scholar 

  13. M. I. Muskhelishvili, Some Basic Problems of the Theory of Elasticity. Fundamental Equations. Plane Theory of Elasticity. Torsion and Bending [in Russian], 5th edition, corrections and additions, Nauka, Moscow (1966).

    Google Scholar 

  14. K. H. Stokoe and F. E. Richart, “Dynamic response of embedded machine foundations,” Proc. Am. Soc. Civ. Eng., 100, No. GT4, 427–447 (1974).

    Google Scholar 

  15. Design Guidelines for Machine Foundations with Dynamic Loads [in Russian], Stroiizdat, Moscow (1982).

  16. V. A. Il'ichev, “Estimation of the damping coefficient of foundation beds subject to vertical oscillations,” Osn., Fundam. Mekh. Gruntov, No. 5, 15–18 (1981).

    Google Scholar 

  17. D. D. Barkan, Yu. G. Trofimenkov, and M. N. Golubtsova, “On the relationship between elastic and strength characteristics of soils,” Osn., Fundam. Mekh. Gruntov, No. 1, 29–31 (1974).

    Google Scholar 

  18. K. S. Sankaran, N. R. Krishnaswamy, and P. G. B. Nair, “Torsional vibration tests on embedded footings,” Proc. Am. Soc. Civ. Eng., 106, No. GT3, 325–331 (1980).

    Google Scholar 

  19. M. N. Golubtsova and M. L. Kholmyanskii, Experimental investigation of the oscillations of test foundations varying in mass and embedment depth, Deposited in the All-Union Scientific- Research Institute of Construction Information on 15 July 1987, No. 8113.

Download references

Authors

Additional information

Translated from Osnovaniya, Fundamenty i Mekhanika Gruntov, No. 6, pp. 9–14, November–December, 1998.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kholmyanskii, M.L. Determination of dynamic bed parameters for calculation of torsional oscillations. Soil Mech Found Eng 35, 183–191 (1998). https://doi.org/10.1007/BF02465936

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02465936

Keywords

Navigation