Abstract
The dynamic stability of skeletal systems subject to harmonic axial forces is of interest. Temporal discretization is achieved by Fourier expansion. The resulting differential equations in spatial co-ordinates alone are solved by the exact frequency-dependent shape functions. The dynamic stability boundaries are determined by studying the free vibration behaviour with periods T and 2 T, where T is the period of the harmonic axial force. Since spatial discretization is completely eliminated, many stability boundaries can be determined accurately with the minimum number of elements.
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