TY - JOUR
T1 - Stability boundaries for parametrically excited systems by dynamic stiffness
AU - Leung, A. Y T
PY - 1989/7/22
Y1 - 1989/7/22
N2 - 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 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. © 1989.
AB - 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 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. © 1989.
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U2 - 10.1016/0022-460X(89)90596-8
DO - 10.1016/0022-460X(89)90596-8
M3 - RGC 21 - Publication in refereed journal
SN - 0022-460X
VL - 132
SP - 265
EP - 273
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
IS - 2
ER -