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Exact solution of the Mindlin–Herrmann model for longitudinal vibration of an isotropic rod

  • Published:2015-11-03 Issue:1 Volume:99 Page:185-201
  • ISSN:0022-0833
  • Container-title:Journal of Engineering Mathematics
  • language:en
  • Short-container-title:J Eng Math

Author:

Tenkam H. M.,Anguelov R.,Fedotov I.,Shatalov M.

Funder

National Research Foundation, NRF South Africa

Publisher

Springer Science and Business Media LLC

Subject

General Engineering,General Mathematics

Reference24 articles.

1. Rayleigh JWS (1877), re-issued (1945) Theory of sound. Dover Publication, New York

2. Krawczuk M, Grabowska J, Palacz M (2006) Longitudinal wave propagation. Part I—comparison of rod theories. J Sound Vib 295:461–478

3. Fedotov I, Polyanin AD, Shatalov M (2007) Theory of vibration of rigid rod based on Raleigh model. Phys-Dokl 417:1–7

4. Rao JS (1992) Advanced theory of vibration. Wiley Eastern Limited, New Delhi

5. Fedotov I, Gai Y, Shatalov M (2006) Analysis of Rayleigh–Bishop model. Electron Trans Nume Anal 24:66–73

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