Nonlinear Oscillations of an Inviscid Liquid Column under Zero-Gravity

摘要

For a frictionless cylindrical liquid bridge of finite length in zero-gravity the nonlinear natural frequencies are determined for large free liquid surface amplitudes. It is found that the system exhibits a softening oscillation behavior, indicating that with increasing wave amplitudes the natural frequencies exhibit decreased magnitude as compared to linear theory. Higher modes and shorter liquid bridges show increased softening character.