Optimization of Material for Key Components and Parameters of Peanut Sheller Based on Hertz Theory and Box–Behnken Design

Poor shelling quality degrades the performance and profit of the peanut industry. The Hertz theory and the wear resistance experimental method were applied to identify a highly wear-resistant material guaranteeing a low mechanical damage rate (MDR) of peanut kernels. The Box–Behnken design method wa...

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Main Authors: Jiannan Wang, Huanxiong Xie, Zhichao Hu, Minji Liu, Jinyi Peng, Qishuo Ding, Baoliang Peng, Chenbin Ma
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Agriculture
Subjects:
Online Access:https://www.mdpi.com/2077-0472/12/2/146
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author Jiannan Wang
Huanxiong Xie
Zhichao Hu
Minji Liu
Jinyi Peng
Qishuo Ding
Baoliang Peng
Chenbin Ma
author_facet Jiannan Wang
Huanxiong Xie
Zhichao Hu
Minji Liu
Jinyi Peng
Qishuo Ding
Baoliang Peng
Chenbin Ma
author_sort Jiannan Wang
collection DOAJ
description Poor shelling quality degrades the performance and profit of the peanut industry. The Hertz theory and the wear resistance experimental method were applied to identify a highly wear-resistant material guaranteeing a low mechanical damage rate (MDR) of peanut kernels. The Box–Behnken design method was applied in the experiment to illustrate the influence of the material’s elastic modulus (<i>X</i><sub>1</sub>), radius of curvature of the key parts (<i>X</i><sub>2</sub>), rotating speed of the shelling drum (<i>X</i><sub>3</sub>), and clearance between the shelling drum and concave screen (<i>X</i><sub>4</sub>) on MDR and shelling efficiency (SE). Depending on the analysis of variance, the weights of the influential factors were observed as <i>X</i><sub>1</sub> > <i>X</i><sub>3</sub> > <i>X</i><sub>4</sub> > <i>X</i><sub>2</sub>. The mathematical models of MDR and SE were derived from the least squares’ method, and four-dimensional slice diagrams of the three most significant factors were used to illustrate the trends of MDR and SE. A multi-objective analysis provided the optimal combination of parameters as: <i>X</i><sub>1</sub> = 10 MPa, <i>X</i><sub>2</sub> = 12.77 mm, <i>X</i><sub>3</sub> = 277.48 r/min, and <i>X</i><sub>4</sub> = 24.24 mm, yielding MDR = 4.89% and SE = 97.91%. The results were further verified by a production trial test, proving that the proposed solution with the selected material, machine design, and working parameters were effective in improving peanut shelling quality.
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spelling doaj.art-e40f405fe7ec413db22e47ba183f19bf2023-11-23T18:15:20ZengMDPI AGAgriculture2077-04722022-01-0112214610.3390/agriculture12020146Optimization of Material for Key Components and Parameters of Peanut Sheller Based on Hertz Theory and Box–Behnken DesignJiannan Wang0Huanxiong Xie1Zhichao Hu2Minji Liu3Jinyi Peng4Qishuo Ding5Baoliang Peng6Chenbin Ma7College of Engineering, Nanjing Agricultural University, Nanjing 210000, ChinaNanjing Institute of Agricultural Mechanization, Ministry of Agriculture and Rural Affairs, Nanjing 210014, ChinaNanjing Institute of Agricultural Mechanization, Ministry of Agriculture and Rural Affairs, Nanjing 210014, ChinaNanjing Institute of Agricultural Mechanization, Ministry of Agriculture and Rural Affairs, Nanjing 210014, ChinaCollege of Engineering, Nanjing Agricultural University, Nanjing 210000, ChinaCollege of Engineering, Nanjing Agricultural University, Nanjing 210000, ChinaNanjing Institute of Agricultural Mechanization, Ministry of Agriculture and Rural Affairs, Nanjing 210014, ChinaCollege of Engineering, Nanjing Agricultural University, Nanjing 210000, ChinaPoor shelling quality degrades the performance and profit of the peanut industry. The Hertz theory and the wear resistance experimental method were applied to identify a highly wear-resistant material guaranteeing a low mechanical damage rate (MDR) of peanut kernels. The Box–Behnken design method was applied in the experiment to illustrate the influence of the material’s elastic modulus (<i>X</i><sub>1</sub>), radius of curvature of the key parts (<i>X</i><sub>2</sub>), rotating speed of the shelling drum (<i>X</i><sub>3</sub>), and clearance between the shelling drum and concave screen (<i>X</i><sub>4</sub>) on MDR and shelling efficiency (SE). Depending on the analysis of variance, the weights of the influential factors were observed as <i>X</i><sub>1</sub> > <i>X</i><sub>3</sub> > <i>X</i><sub>4</sub> > <i>X</i><sub>2</sub>. The mathematical models of MDR and SE were derived from the least squares’ method, and four-dimensional slice diagrams of the three most significant factors were used to illustrate the trends of MDR and SE. A multi-objective analysis provided the optimal combination of parameters as: <i>X</i><sub>1</sub> = 10 MPa, <i>X</i><sub>2</sub> = 12.77 mm, <i>X</i><sub>3</sub> = 277.48 r/min, and <i>X</i><sub>4</sub> = 24.24 mm, yielding MDR = 4.89% and SE = 97.91%. The results were further verified by a production trial test, proving that the proposed solution with the selected material, machine design, and working parameters were effective in improving peanut shelling quality.https://www.mdpi.com/2077-0472/12/2/146peanut shellingshelling qualitymechanical damage rateshelling efficiencymulti-objective optimization
spellingShingle Jiannan Wang
Huanxiong Xie
Zhichao Hu
Minji Liu
Jinyi Peng
Qishuo Ding
Baoliang Peng
Chenbin Ma
Optimization of Material for Key Components and Parameters of Peanut Sheller Based on Hertz Theory and Box–Behnken Design
Agriculture
peanut shelling
shelling quality
mechanical damage rate
shelling efficiency
multi-objective optimization
title Optimization of Material for Key Components and Parameters of Peanut Sheller Based on Hertz Theory and Box–Behnken Design
title_full Optimization of Material for Key Components and Parameters of Peanut Sheller Based on Hertz Theory and Box–Behnken Design
title_fullStr Optimization of Material for Key Components and Parameters of Peanut Sheller Based on Hertz Theory and Box–Behnken Design
title_full_unstemmed Optimization of Material for Key Components and Parameters of Peanut Sheller Based on Hertz Theory and Box–Behnken Design
title_short Optimization of Material for Key Components and Parameters of Peanut Sheller Based on Hertz Theory and Box–Behnken Design
title_sort optimization of material for key components and parameters of peanut sheller based on hertz theory and box behnken design
topic peanut shelling
shelling quality
mechanical damage rate
shelling efficiency
multi-objective optimization
url https://www.mdpi.com/2077-0472/12/2/146
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