Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-10-27T04:36:43.682Z Has data issue: false hasContentIssue false
  • English
  • Français

Forced vertical vibration of a rigid circular disc on a semi-infinite elastic solid

Published online by Cambridge University Press:  24 October 2008

Ian A. Robertson
Ian A. Robertson
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow
Get access Rights & Permissions [Opens in a new window]

Extract

Introduction. The effect of a vibrating point force on the surface of a semi-infinite elastic solid was investigated in a classic paper by Lamb ((8)). When the point force is replaced by a vibrating rigid disc the problem is more complicated, because the displacement is specified under the disc and the remainder of the surface is stress-free. This gives rise to a mixed boundary-value problem.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 3 , July 1966 , pp. 547 - 553
Copyright
Copyright © Cambridge Philosophical Society 1966

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Awojobi, A. O. and Grootenhuis, P.Proc. Roy. Soc. London. Ser. A, 287 (1965), 27–63.Google Scholar
(2)Baker, C. T. H., Fox, L., Mayers, D. F. and Wright, K.Comput. J. 7 (1964), 141–148.CrossRefGoogle Scholar
(3)Bycroft, G. N.Philos. Trans. Roy. Soc. London. Ser. A, 248 (1956), 327–368.Google Scholar
(4)Erdélyi, A. and Sneddon, I. N.Canad. J. Math. 14 (1962), 685–693.CrossRefGoogle Scholar
(5)Fox, L. and Goodwin, E. T.Philos. Trans. Roy. Soc. London. Ser. A, 245 (1953), 501–534.Google Scholar
(6)Harding, J. W. and Sneddon, I. N.Proc. Cambridge Philos. Soc. 41 (1945), 16–26.CrossRefGoogle Scholar
(7)Kaye, G. W. C. and Laby, T. H.Physical and chemical constants (Longmans, Green and Co., 1955).Google Scholar
(8)Lamb, H.Philos. Trans. Roy. Soc. London. Ser. A, 203 (1904), 1–42.Google Scholar
(9)Lebedev, N. N.and Ufliand Ya. S. Prikl. Mat. Meh. 22 (1958), 320–326.Google Scholar
(10)Love, E. R.Canad. J. Math. 15 (1963), 631–640.CrossRefGoogle Scholar
(11)Miller, G. F. and Pursey, H.Proc. Roy. Soc. London. Ser. A, 223 (1954), 521–541.Google Scholar
(12)Noble, B.Proc. Cambridge Philos. Soc. 59 (1963), 351–362.CrossRefGoogle Scholar
(13)Reissner, E.Ing.-Arch. 7 (1936), 381–396.CrossRefGoogle Scholar
(14)Reissner, E.Ing.-Arch. 8 (1937), 229–245.Google Scholar
(15)Sneddon, I. N.Fourier transforms (McGraw-Hill, 1951).Google Scholar