Drgania prętów o liniowo zmiennej wysokości przekroju poprzecznego

The paper deals with problems of vibrations of straight bars with constant width. The height varies linearly in the plane of bending. We consider harmonic transverse vibrations of the bar in the direction of the constant dimension. A general solution of the amplitude equation is obtained in the form of the Power series. From this an approximate solution is determined for the amplitude and slope-deflection equations. The obtained results are illustrated by two examples. In the first the natural frequency is determined while in the second forced vibrations are obtained.