Skip to main content
SpringerLink
Log in

Free Oscillations of a Conical Shell

  • Published:
Moscow University Mechanics Bulletin Aims and scope

Abstract

Free oscillations of a conical shell of finite length are considered. This problem was formulated in the 1960s. A modern algorithm without saturation is given in this paper, and specific calculations which show its high efficiency are discussed.

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

Fig. 1

REFERENCES

  1. K. M. Liew, T. Y. Ng, and X. Zhao, ‘‘Free vibration analysis of conical shells via the element-free kp-Ritz method,’’ J. Sound Vib. 281, 627–645 (2005). https://doi.org/10.1016/j.jsv.2004.01.005

    Article  ADS  Google Scholar 

  2. C. Shu, ‘‘An efficient approach for free vibration analysis of conical shells,’’ Int. J. Mech. Sci. 38, 935–949 (1996). https://doi.org/10.1016/0020-7403(95)00096-8

    Article  MATH  Google Scholar 

  3. S. D. Algazin, Saturation-Free Numerical Algorithms in Classical Problems of Mathematical Physics (URSS, Moscow, 2019).

    Google Scholar 

  4. K.I. Babenko, Foundations of Numerical Analysis (Nauka, Moscow, 1986).

    MATH  Google Scholar 

  5. M.B. Gavrikov and A.A. Tayurskii, Functional Analysis and Computational Mathematics (URSS, Moscow, 2016).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Ishlinsky Institute for Problems of Mechanics, Russian Academy of Sciences, Moscow, Russia

    S. D. Algazin

  2. Chair of Computer Systems and Automation, Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia

    A. A. Sinitsyn

Authors
  1. S. D. Algazin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. A. Sinitsyn
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to S. D. Algazin or A. A. Sinitsyn.

Ethics declarations

The authors declare that they have no conflicts of interest.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Algazin, S.D., Sinitsyn, A.A. Free Oscillations of a Conical Shell. Moscow Univ. Mech. Bull. 78, 29–35 (2023). https://doi.org/10.3103/S0027133023020024

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0027133023020024

Keywords:

Search

Navigation