Abstract
The dynamic contact problem is solved by a method based on use of static determination of the stresses beneath a plate and additional slab. The static mixed edge problem is reduced to the solution of integral equations, and then to determination of the normal stresses on the contact boundary. A sample calculation confirms the effectiveness of reducting vibration by joining slabs to the basic foundation.
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References
N. P. Pavlyuk and A. D. Kondin, “Extinction of foundation vibrations beneath machinery,”, Proekt Standart, No. 2, 23–26 (1936).
D. D. Barkan, Dynamics of Beds and Foundations [in Russian], Stroivoenmorizdat, Moscow (1948).
O. A. Savinov, Modern Designs of Foundations beneath Machinery and Their Calculation [in Russian], second edition, Stroiizdat, Leningrad (1979).
V. L. Sedin, Foundation Oscillations with Allowance for Attached Slabs, Beds and Foundations: Interuniversity Republican Collection [in Russian], No. 12, Kiev (1979), pp. 75–79.
N. S. Savets, V. A. Sedin, and Yu. A. Kirichek, Structural Methods of Reducing the Oscillations of Foundations Supporting Dynamically Loaded Machinery [in Russian], Stroiizdat, Moscow (1987).
R. N. Arnold, G. N. Bycroft, and G. B. Warburton, “Forced vibrations of a body on an infinite elastic solid,” J. Appl. Mech.,E22, 391–400 (1955).
I. Golembiovska, “Foundation oscillations of structural designs interacting with an elastic half space,” Author’s Abstract of Dissertation for Doctor of Technical Sciences, Moscow (1993).
G. Korn and T. Korn, Mathematics Handbook for Scientific Workers and Engineers [Russian translation], Nauka, Moscow (1974).
Additional information
Translated from Osnovaniya, Fundamenty i Mekhanika Gruntov, No. 5, pp. 2–6, September–October, 1995.
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Irena, G. Dynamic contact problem for an absolutely rigid plate joined to a rigid slab on an elastic half space. Soil Mech Found Eng 32, 147–152 (1995). https://doi.org/10.1007/BF02336295
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DOI: https://doi.org/10.1007/BF02336295