Abstract

The governing equations for the vibrations of an unsymmetrical sandwich beam with dual core have been derived, the effects of both rotatory and longitudinal translatory inertia being included. The effects of these inertia terms are clearly brought out for the case of a simply supported beam by assuming a series solution, though a similar approach may be followed for the cases of beams with other boundary conditions. In such cases, approximate methods can be used. Results show an interesting phenomenon: the frequencies of higher families of modes of vibration are not very high and thus are of practical interest. It is also shown that the frequencies of flexural modes are considerably affected at higher frequencies. Graphs showing the frequencies of all the modes, plotted against other non-dimensional parameters, are also presented.

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