Abstract
Non-linear dynamical systems are considered which are conservative except for the presence of viscous damping. The systems are initially at rest in a potential well. Harmonic excitation is applied, and approximate conditions for escape from the potential well are sought. A method is described which uses the harmonic-balance technique to obtain an approximate motion, and then compares the maximum energy during that motion with the potential barrier. Numerical results are presented for three one-degree-of-freedom systems and a system with two-degrees-of-freedom. The approximate critical forcing amplitudes are plotted as a function of the forcing frequency, and the results are compared to those obtained by numerical integration of the equations of motion.
Published Version
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