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Fransverse vibrations of reetilinear plates

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Summary

The problem of the vibrations of a rectilinear plate with supported edges can be reduced to the corresponding problem of a vibrating membrane. Exact solutions are given for a number of triangular plates. The free and clamped vibrations of a square and a right-angled isosceles triangular plate have also been discussed.

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References

  1. KirchhoffJournal für Math. (Crelle), 1850,40.

  2. RayleighTheory of Sound, 1894, Vol. I, Chap. X.

  3. MathieuJournal de Math. (Liouville), 1869,14, (Sér. 2).

  4. BarthélémyToulouse Mém. de l’Acad., 1877,9.

  5. Mary D. WallerProc. Phy. Soc., 1939,51, 831; 1941,53, 35.

    Article  Google Scholar 

  6. RayleighPhil. Mag., 1911,22, 225.

    Google Scholar 

  7. RitzAnn. Phys., Leipzig, 1909,28, 737.

    Article  Google Scholar 

  8. TimoshenkoVibration Problems in Engineering, 1937, 2nd ed., §70.

  9. StevensonPhil. Mag., 1943,34, 110.

    Google Scholar 

  10. TimoshenkoTheory of Plates and Shells., 1940, 100.

  11. SethProc. Ind. Acad. Sci. (A), 1940,12, 487.

    MATH  MathSciNet  Google Scholar 

  12. —Ibid.,, 1941,13, 390.

    MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Hindu College, Delhi

    B. R. Seth

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  1. B. R. Seth
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Seth, B.R. Fransverse vibrations of reetilinear plates. Proc. Indian Acad. Sci. (Math. Sci.) 25, 25–29 (1947). https://doi.org/10.1007/BF03172541

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  • DOI: https://doi.org/10.1007/BF03172541

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