Abstract
The article describes the movement of the fruit as a mathematical pendulum during branch vibrations. A non-linear numerical mathematical model was obtained. The article stated the presence of the fruit's complex movements, including non-sinusoidal oscillations, oscillations-beats, rotational modes, as well as oscillations that have a stochastic appearance. Subresonances are detected at operating frequencies ω≈ pω0 (p=2,3,4,5...); at the same time, the fruit oscillates with almost its own frequency ω0. It is established that the maximum efforts in the stem necessary for its destruction appear at a subharmonic resonance with the frequency ω≈ 3ω0. This mode is recommended as a working one for garden vibration installations.
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