Vibrations of a prestressed two-member compound column

The dynamic bending response of a geometrically non-linear prestressed two-member compound beam with pinned ends is studied. Tbe prestress was produced by initial lack of fit of the beam members. The problem is formulated as a varational one, the Hamilton principle being used. The solution was obtained by using the generalized method. The natural vibration frequency versus prestress and vibration amplitude are calculated. The orthogonality condition for the non-linear modes of vibration are also discussed.