Leung, Andrew Yee TakAndrew Yee TakLeung2022-05-202022-05-201989https://repository.sfu.edu.hk/handle/sfu/3268The 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 2T, 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.enjournal article10.1016/0022-460X(89)90596-8