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Influence of the Variation of Structural Properties on the Probability of a Composite Plate to Meet a Target Eigenfrequency

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Part of the book series: Lecture Notes in Engineering ((LNENG,volume 28))

Abstract

Design requirements may specify that the natural frequency of a structure has to fall into a certain frequency range. This target can only be met with a certain probability, which depends on the scatter of the structural parameters influencing the natural frequency. This paper concentrates on the determination of this probability considering the lowest natural frequency of a vibrating composite strip of a plate (Timoshenko Beam). The example is a cantilever.

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Literature

  1. Fuhrke, H.: Bestimmung von Balkenschwingungen mit Hilfe des Matrizenkalküls. Ing.-Arch. 23 (1955), 329–348

    Article  MATH  Google Scholar 

  2. Cuntze, R.; Eder, J.: Einfluß von Schubelastizität und Drehträgheit auf die Biegeeigenfrequenz gleichförmig massebelegter Einfeldbalken. Konstruktion 35 (1983), 183–186

    Google Scholar 

  3. Jones, R.M.: Mechanics of Composite Materials, Mc Grew Hill, 1975

    Google Scholar 

  4. Lehar, H.: Beitrag zur numerischen Behandlung ebener, anisotroper Schichtverbunde mittels der Methode der finiten Elemente (Diss.). Bericht 3 (1985), Institut für Baustatik und verstärkte Kunststoffe, Innsbruck.

    Google Scholar 

  5. Wörndle, R. and Mang H.: Schubübertragungsverhalten bei inhomogen, orthotropen Querschnitten. Kunststoffe 73 (1983), 377 ff

    Google Scholar 

  6. Whitney, J.M. Stress Analysis of Thick Laminated Composite and Sandwich Plates. J. Composite Materials, Vol 6 (1972), 426–440

    Google Scholar 

  7. Report zum BMFT Forschungsvorhaben “Bruchverhalten von kohlenstoffaserverstärkten Kunststofflaminaten”, 01/A029-ZK/tP/NPS 1022. MAN Neue Technologie, 1985

    Google Scholar 

  8. Schueller, G.I.: Einführung in die Sicherheit und Zuverlässigkeit von Tragwerken. Wilhelm Ernst u. Sohn, Berlin 1981

    Google Scholar 

  9. Fießler, B; Hawranek, R.; Rackwitz, R.: Numerische Methoden probabilistischer Bemessungsverfahren und Sicherheitsnachweise, Berichte zur Sicherheitstheorie der Bauwerke, SFB 96, Heft 14, Technische Universität München, 1976.

    Google Scholar 

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© 1987 Springer-Verlag Berlin, Heidelberg

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Cuntze, R.G., Grimmelt, M. (1987). Influence of the Variation of Structural Properties on the Probability of a Composite Plate to Meet a Target Eigenfrequency. In: Elishakoff, I., Irretier, H. (eds) Refined Dynamical Theories of Beams, Plates and Shells and Their Applications. Lecture Notes in Engineering, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83040-2_26

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  • DOI: https://doi.org/10.1007/978-3-642-83040-2_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17573-5

  • Online ISBN: 978-3-642-83040-2

  • eBook Packages: Springer Book Archive

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