Skip to main content
SpringerLink
Log in

The elastic coupling between longitudinal and transversal vibrations оf isotropic rods II. Rods of circular cross-section

УПРУГИЕ СВЯЗИ МЕЖДУ П РОДОЛЬНЫМИ И ПОПЕРЕЧ НЫМИ КОЛЕБАНИЯМИ ИЗОТРОП НЫХ СТЕРЖНЕЙ II. СТЕРЖНИ КРУГОВОГО СЕ ЧЕНИЯ

  • Published:
Cechoslovackij fiziceskij zurnal B Aims and scope

Abstract

The new approximative method for calculating the frequencies of longitudinal vibrations of isotropic homogeneous rods described in part I. is used for rods of circular crosssection. Similarly to the rods of rectangular cross-section there does not exist any “dead zone” of frequencies.

Abstract

Новый приближенный м етод расчета частот п родольных колебаний изотропных однородн ых стержней, описанный в I. части работы (см. стр. 366), п рименяется для стерж ней кругового сечения. Та к же, как и у стержней п рямоугольного сечен ия, здесь не существуе т „мертвой зоны“ часто т.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Strutt-Rayleigh J. W.: The Theory of Sound, vol. I., London 1926, 251–252.

    Google Scholar 

  2. Giebe E., Blechschmidt E.: Ann. d. Phys. (5),18 (1933), 417, 457.

    Google Scholar 

  3. Love A. E. H.: A Treatise on the Mathematical Theory of Elasticity, Cambridge 1927, 498.

  4. Airey J. R.: Arch. d. Mathem. u. Phys.20, (1913), 289.

    Google Scholar 

  5. Field G. S.: Canad. J. Res.11 (1934), 254.

    Google Scholar 

  6. Schoeneck H.: Zs. f. Phys.92 (1934), 390.

    Google Scholar 

  7. Posener L.: Ann. d. Phys.22 (1935), 5, 101.

    Google Scholar 

  8. Shear S. K., Focke A. B.: Phys. Rev.57 (1940), 532.

    Google Scholar 

  9. Czerlinsky E.: Akust. Zs.7 (1942), 12.

    Google Scholar 

  10. Kuhl W.: Akust. Zs.,7 (1942), 125.

    Google Scholar 

  11. Adolph R., Kneser H. O., Schulz L.: Ann. d. Phys. (6),8 (1950), 99.

    Google Scholar 

  12. Bergmann L.: Der Ultraschall und seine Anwendung in Wissenschaft und Technik, 6. Ed., Zürich 1954; Russian translation Bergmann L., Ul'trazvuk i ego primenenie v nauke i technike, Moskva 1956.

  13. Hüter T.: Zs. angew. Phys.1 (1949), 274.

    Google Scholar 

  14. Mindlin R. D., Herrmann G.: Columbia Univ., N. Y., Dept. Civ. Eng., Sept. 1951, 9 pp. 4. figs.

  15. Malvern L.: Appl. Mech. Rev.5 (1951), 1308.

    Google Scholar 

  16. Mindlin R. D.: Appl. Phys.22 (1951), 316.

    Google Scholar 

  17. Brdička M., Dvorská M., Dvořáček Z.: Czech. J. Phys.8 (1958), 494.

    Google Scholar 

  18. Jahnke E., Emde F.: Funktionentafeln, Leipzig und Berlin 1933, 213.

Download references

Author information

Authors and Affiliations

  1. Mathematico-physical Faculty, Charles University, Prague

    M. Brdička

  2. Institute of Technical Physics, Czechosl. Acad. Sci., Prague

    Z. Dvořáček

  3. Research Institute of Math. Machines, Prague

    M. Nováková-Dvorská

Authors
  1. M. Brdička
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Z. Dvořáček
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Nováková-Dvorská
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brdička, M., Dvořáček, Z. & Nováková-Dvorská, M. The elastic coupling between longitudinal and transversal vibrations оf isotropic rods II. Rods of circular cross-section. Czech J Phys 10, 383–396 (1960). https://doi.org/10.1007/BF01557252

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01557252

Keywords

Search

Navigation