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Vibration of beams with exponentially varying properties

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Summary

The equation governing the transverse vibration of beams with exponentially varying properties is solved. The solution is expressed in terms ofBessel functions for a sequence of special cases of property variations.

Zusammenfassung

Die Gleichung für die Biegeschwingung von Stäben mit exponentiel veränderlichen Querschnittseigenschaften wird gelöst. Für verschiedene Spezialfälle der Eigenschaftsvariation wird die Lösung durchBesselsche Funktionen ausgedrückt.

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References

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Authors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts, USA

    T. J. Lardner

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  1. T. J. Lardner
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Lardner, T.J. Vibration of beams with exponentially varying properties. Acta Mechanica 6, 197–202 (1968). https://doi.org/10.1007/BF01170383

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  • DOI: https://doi.org/10.1007/BF01170383

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