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Vibration of Non-Uniform Thin-Walled Beams of Arbitrary Shape

John Wiley and Sons
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  • Aerospace Engineering (Formerly
  • Aeronautical Engineering)
  • Mathematics


A generalised theory for the natural vibration of non-uniform thin-walled beams of arbitrary cross-sectional geometry is proposed. The governing equations are obtained as four partial, linear integro-differential equations. The corresponding boundary conditions are also obtained in an integro-differential form. The formulation takes into account the effect of longitudinal inertia and shear flexibility. A method of solution is presented. Some numerical illustrations and an exact solution are included.

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