Abstract

MAYANS CESPEDES, Pedro Ramón; LOPEZ CANSTENS, Gilberto de Jesús; ROMANCHIK KRIUCHKOVA, Eugenio  and  PEREZ SOBREVILLA, Luciano. Mathematical modeling system of the fruit-pedicel-peduncle Manila mango. Rev. Mex. Cienc. Agríc [online]. 2016, vol.7, n.4, pp.781-791. ISSN 2007-0934.

The mango cultivation in Mexico represents an important source of jobs, income and foreign exchange, only in 2002 entered the country 134 million dollars to export 195 thousand tons of mango. Mexico contributes to world exports 30% of total production, which places it as the largest exporter in the world; however, the harvest is done manually. This study aims to determine the most appropriate vibration systems for selective detachment of the fruits using a model of two degrees of freedom. The input data for the evaluation of this model were the physical-mechanical fruit-pedicel- peduncle system properties. As a result of modeling the frequency responses for linear movement, rotation angle, bending moment and tensile strength in the three stages of maturation observed separation between the resonance frequencies of green and ripe fruits they were obtained, which is a fortress for the selective harvesting of fruits. The frequency bands in which only the fall of the ripe fruits for different amplitudes produced were also obtained. For the first mode of vibration it is sufficient with an amplitude of 10 mm excitation to release only the ripe fruit in a band of 14.3 Hz (27.5-41.8 Hz); green fruit would divest from a frequency of 56 Hz demonstrating the possibility of selective harvesting the fruits of the handle.

Keywords : modeling; resonance frequency; selectivity and excitation amplitude.

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