28th Congress of the International Council of the Aeronautical Sciences, 23 - 28 September 2012, Brisbane, Australia
Paper ICAS2012-P3.2

ANALYTICAL NATURAL FREQUENCIES OF TAPERED WINGS

L. M. B. C. Campos, A. C. Marta
CCTAE, IST, Portugal

Keywords: bending, vibration, non-uniformbeam, frobenius-fuchsseries, eigenvalues

The natural bending frequency of tapered wings is derived from the differential equation for the unsteady deflection of a non-uniform beam. Frobenius-Fuchs power series are used in the solution. The fundamental frequency of a tapered planform lies between that of the rectangular (lower) and the delta (higher) wings.

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