Prediction of escape from a potential well under harmonic excitation
作者： Lawrence N Virgin , Raymond H Plaut , Ching-Chuan Cheng , None
DOI: 10.1016/0020-7462(92)90005-R
关键词: Numerical integration 、 Harmonic balance 、 Forcing (recursion theory) 、 Equations of motion 、 Mathematical analysis 、 Mathematics 、 Classical mechanics 、 Dynamical system 、 Complex harmonic motion 、 Dynamical systems theory 、 Rectangular potential barrier
摘要: Abstract Non-linear dynamical systems are considered which conservative except for the presence of viscous damping. The initially at rest in a potential well. Harmonic excitation is applied, and approximate conditions escape from well sought. A method described uses harmonic-balance technique to obtain an motion, then compares maximum energy during that motion with barrier. Numerical results presented three one-degree-of-freedom system two-degrees-of-freedom. critical forcing amplitudes plotted as function frequency, compared those obtained by numerical integration equations motion.
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