Abstract
The two lowest order modes of free vibration of an angle section are analysed. The section consists of two long flat plates fixed to each other at right angles along a pair of edges. One of the other two edges is fully built-in and the other is free. A Rayleigh-Ritz method of analysis is used allowing displacements of the cross-section in three suitable (but approximate) modes which vary sinusoidally along the length of the angle. Shear distortion and rotatory inertia effects are allowed for in the expressions for potential and kinetic energy. The “effective width” of one plate, constraining flexure of the other, is also fully dealt with. Calculations have been carried out to determine the frequencies and modes of vibration. The frequencies agree very closely with experimental measurements. Various approximations are then considered which simplify the analysis. It is concluded that these approximations may be used when analysing the vibrations of angle sections used as stiffeners on flexible plates.
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