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Abstract

In this article we summarize the second of a series of applications of the methods of intermediate problems to the determination of lower bounds for the eigenfrequencies of free vibration of built-up elastic structures. This study gives upper and lower bounds for frequencies of a rectangular thin elastic plate with a reinforcing rib bonded elastically to it along a portion of the center line.

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References

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© 1981 Springer Basel AG

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Fox, D.W., Sigillito, V.G. (1981). Bounds for Eigenvalues of Reinforced Plates. In: Albrecht, J., Collatz, L. (eds) Numerische Behandlung von Differentialgleichungen Band 3. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 56. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5454-2_4

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  • DOI: https://doi.org/10.1007/978-3-0348-5454-2_4

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5455-9

  • Online ISBN: 978-3-0348-5454-2

  • eBook Packages: Springer Book Archive

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