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On the broadband random vibration of elastic systems

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Abstract

In this paper the problems of vibration of elastic systems under broadband exitation are considered. As an example the random vibration of structures due to acoustic pressure fluctuations radiated from the hot jet may be mentioned [1]. The frequencies of the acoustic pulsation are distributed in the wide interval — from 10 to 10000 cps. These pulsations can exite a great number of structural modes simultaneously. Thus the integral method for the approximate solution of the problem can be readily developed.

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References

  1. Crandall, S. H. (editor): Random vibration. Cambridge, Mass.: Technology Press 1958.

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  2. Bolotin, V. V.: The boundary effect by vibration of elastic shells. PMM 24 (1960) No. 5 (in Russian).

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  3. Bolotin, V. V.: An asymptotic method for the study of the eigenvalues problem for rectangular regions. Problems of continuum mechanics (N. I. Muskhelishvili anniversary volume). Soc. Industr. Appl. Math., Philadelphia 1961.

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  4. Bolotin, V. V.: On the density of natural frequencies of thin elastic shells. PMM 27 (1963) No. 2 (in Russian).

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  5. Courant, R., and D. Hilbert: Methods of mathematical physics. vol. I. New York/London: Interscience Publ. 1953.

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  6. Bolotin, V. V.: Statistical methods in structural meohanics. Moscow: Stroy’izdat 1961 (in Russian).

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© 1966 Springer-Verlag Berlin Heidelberg

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Bolotin, V.V. (1966). On the broadband random vibration of elastic systems. In: Görtler, H. (eds) Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-29364-5_28

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  • DOI: https://doi.org/10.1007/978-3-662-29364-5_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-27863-5

  • Online ISBN: 978-3-662-29364-5

  • eBook Packages: Springer Book Archive

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