119
Views
3
CrossRef citations to date
0
Altmetric
Research Article

Analytical formulation and finite-element implementation technique of a rigorous two-parameter foundation model to beams on elastic foundations

ORCID Icon &
Pages 547-560 | Received 09 Dec 2019, Accepted 18 Sep 2020, Published online: 12 Oct 2020

References

  • Clough, R.W. and Penzien, J., 1993. Dynamics of structures. New York: McGraw-Hill.
  • Colasanti, R.J. and Horvath, J.S., 2010. Practical subgrade model for improved soil-structure interaction analysis: software implementation. Practice Periodicals in Structural Design and Construction, 15 (4), 278–286. doi:https://doi.org/10.1061/(ASCE)SC.1943-5576.0000060.
  • Filonenko-Borodich, M.M., 1950. Some approximate theories of elastic foundations. Uchenyie Zapiski MoskovskogoGosudar. UniversitetaMekhanika, Moscow, 46, 3–18.
  • Heteneyi, M., 1946. Beams on Elastic Foundations. Ann Arbor, Michigan: the University of Michigan Press.
  • Hetenyi, M., 1950. A general solution for the bending of beams on an elastic foundation of arbitrary continuity. Journal of Applied Physics, 21, 55–58. doi:https://doi.org/10.1063/1.1699420
  • Horvath, J.S. and Colasanti, R.J., 2011. Practical subgrade model for improved soil-structure interaction analysis: model development. International Journal of Geomechanics, 11 (1), 59–64. doi:https://doi.org/10.1061/(ASCE)GM.1943-5622.0000070.
  • Kerr, A.D., 1964. Elastic and viscoelastic foundation models. Journal of Applied Mechanics, 25 (80), 491–498. doi:https://doi.org/10.1115/1.3629667.
  • Kerr, A.D. and Rhines, W.J., 1967. A further study of elastic foundation models. Rep. S-67-1. Bronx, NY: New York Univ. School of Engineering and Science.
  • Pasternak, P.L., 1954. On a new method of an elastic foundation by means of two foundation constants. Gosudar. IzdatelstvoLiteraturipoStroitelsuve I Arkhitekture, Moscow.
  • Poulos, H.G., 2018. Rational assessment of modulus of subgrade reaction. Geotechnical Engineering Journal of the SEAGS & AGSSEA, 49 (1), 1–7.
  • Reissner, E., 1958. A note on deflection of plates on a viscoelastic foundation. Journal of Applied Mechanics, 25 (80), 144–145.
  • Selvadurai, A.P.S., 1979. Elastic analysis of soil-foundation interaction. New York: Elsevier SPC.
  • Tsudik, E., 2013. Analysis of structures on elastic foundations. Port Myers: J. Ross Publishers.
  • Vlasov, V.Z. and Leont’ev, N.N., 1966. Beams, plates, and shells on elastic foundations. Trans. Israel Program for Scientific Translations.Jerusalem
  • Winkler, E., 1867. Die Lehre von der Elastizitaet und Festgkeit. H. Dominicus, Prague (in German).
  • Worku, A., 2010. A generalized formulation of continuum models for elastic foundations. In: D.O. Fratta, A.J. Puppala, and B. Muhunthan, eds. GeoFlorida 2010: advances in analysis, modelling and design (GSP 199). West Palm Beach, FL: ASCE, 1641–1650.
  • Worku, A., 2013a. Calibrated analytical formulas for foundation model parameters. International Journal of Geomechanics, ASCE, 13 (4), 340–347. doi:https://doi.org/10.1061/(ASCE)GM.1943-5622.0000214.
  • Worku, A., 2013b. Discussion of ‘Practical subgrade model for improved soil-structure interaction analysis: software implementation’ by R.J. Colasanti and J.S. Horvath, eds. Practice periodical on structural design and construction. ASCE, 18, 143–144.
  • Worku, A., 2013c. Discussion of ‘Practical subgrade model for improved soil-structure interaction analysis: model development’ by J. S. Horvath and R. J. Colasanti. International Journal of Geomechanics, ASCE, 11 (1), 59–64.
  • Worku, A., 2014. Development of a calibrated Pasternak foundation model for practical use. International Journal of Geotechnical Engineering, 8, 26–33. doi:https://doi.org/10.1179/1938636213Z.00000000055
  • Worku, A. and Degu, Y., 2010. Application of newly derived and calibrated continuum subgrade models in the analysis of beams on elastic foundations. In: D.O. Fratta, A.J. Puppala, and B. Muhunthan, eds. GeoFlorida 2010: advances in analysis, modelling & design (GSP 199). West Palm Beach, FL: ASCE, 1651–1660.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.