A Study on the Decaying Model of Elastic Modulus for Mangoes

碩士 === 國立中興大學 === 農業機械工程學系 === 86 === This study evaluate the firmness index through some parameters, such as resonant frequency, mass and firmness. The decaying model was established for the elastic modulus vs. time and the derivation of decreasing mathe...

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Bibliographic Details
Main Authors: Chern, Tian-Fwu, 陳添福
Other Authors: Ching-Wei Cheng
Format: Others
Language:zh-TW
Published: 1998
Online Access:http://ndltd.ncl.edu.tw/handle/33102443558720860271
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Summary:碩士 === 國立中興大學 === 農業機械工程學系 === 86 === This study evaluate the firmness index through some parameters, such as resonant frequency, mass and firmness. The decaying model was established for the elastic modulus vs. time and the derivation of decreasing mathematical model of resonant frequency during storage time by regression analysis method. The decaying model will use to evaluate the Mango''s stiffness and storage time during selling process. Mangoes were stored at a constant temperature (13℃) and relative humidity (RH 88%) cabinet. The mango samples were excited by the impact hammer each day. Frequency response signal was acquired with accelerometer and then the first and second resonant frequencies analyzed through FFT method. The changes of mass and frequencies were recorded each day. The total measurements of whole process is lasted for days. The elastic modulus of flesh was obtained through the slope calculation of force-deformation curve through the compression test. According to those data, the firmness index of mangoes can be predicted. Besides, the decaying characteristics of elastic modulus with respect to time was also investigated. After four different models were analyzed through the regression, the best model ,f1^2*m^(2/3)*ρ^(1/3),was obtained ,which has the determination coefficient of 0.5288 and standard deviation of 1.6733. From the experimental results, the f^2*m^(2/3)*ρ^(1/3) model can be used as the firmness index for mangoes. This firmness index model has good correlation relationship with the first resonant frequency while mango was excited by the impulse.ehe exponential decaying model (e^-(kt)) of elastic modulus during storage is not suitable for mangoes. The better fitted the exponential model for the mangoes is e^-( kt^(3/2)), which has the determination coefficient as 0.9747 and standard deviation of 0.128.