An analogy is established between standing surface wave oscillations and a mechanical oscillator, yielding a novel Mathieu-like equation for super-harmonic stability that matches numerical solutions in most cases.
Turner, Dynamic sloshing in a rectangular vessel with porous baffles, Journal of engineering mathematics 144 (2024) 22
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Free oscillations of a standing surface wave and its mechanical analogue
An analogy is established between standing surface wave oscillations and a mechanical oscillator, yielding a novel Mathieu-like equation for super-harmonic stability that matches numerical solutions in most cases.