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Dual integral equations applied to the steady-state vibration elastic contact problem for the half-space

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Abstract

The problem considered is an elastic half-space acted on by a harmonic force distributed along a strip. Dual integral equations techniques allow a reduction of the plane problem to Fredholm integral equations of the second kind. The solution is given in the form of a series in a small parameter—the frequency of vibrations.

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References

  1. Awojobi, A. O., Torsional vibrations of a rigid circular body on a nonhomogeneous elastic stratum, Quart. J. Appl. Math., v. 26, (1973) p. 2.

    Google Scholar 

  2. Collins, W. D., The forced torsional oscillation of an elastic half-space and an elastic stratum. Proc. London Math. Soc., 12 (1962).

  3. Dhaliwal, R. S., Steady-state axially symmetrical vibration of rotating hollow cylinder with variable elastic modulus. Arch. Mech. Stosw. 23 (1971) 1.

    Google Scholar 

  4. Keer, L. M., Jabeli, H. H. and Chantaramangoru, K., Torsional oscillations of layer bonded to an elastic half-space. Int. J. Solids Structures, 10 (1974) 1–13.

    Article  Google Scholar 

  5. Borodatchev, N. M., Axially symmetrical contact problem for the half space. Izvestia Akad. Nauk. SSSR, Seria Mech. i Mashinostr., 5 (1962) p. 86.

    Google Scholar 

  6. Borodatchev, N. M., On the determination of the contact stress under vibrating foundation. Osnovania, fundamenti, mechanika hruntov, 3 (1962).

  7. Lebedev, N. N., Skalskya, I. P., Dual integral equations and the diffraction of electromagnetic waves by a conducting strip. Zh. Tekh. Phys., 42 (1972) 4.

    Google Scholar 

  8. Frank, Ph., Mises, R., Differential and integral equations of mathematical physics. ONTI, Moskow 1937.

    Google Scholar 

  9. Bateman, H., Erdelyi, A., et al., Tables of integral transforms. McGraw-Hill Book Company 1954.

  10. Karasudhi, P., Keer, L. V., Lei, S. L., Vibratory motion of body on an elastic half plane. J. Appl. Mech., 35 (1968) 4.

    Google Scholar 

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Authors and Affiliations

  1. A. F. Ioffe Physico-Technical Institute of Academy of Science of the USSR, Leningrad, USSR

    I. Zlatina

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  1. I. Zlatina
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Zlatina, I. Dual integral equations applied to the steady-state vibration elastic contact problem for the half-space. J Elasticity 7, 437–447 (1977). https://doi.org/10.1007/BF00041733

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  • DOI: https://doi.org/10.1007/BF00041733

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