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基于赫兹接触理论的无损蛋壳强度评估 第一部分:理论与适用性

Non-Destructive Eggshell Strength Assessment Using Hertz Contact Theory Part I: Theory and Applicability.

作者信息

De Ketelaere Bart, Corion Matthias, Adriaens Ines, Van Liedekerke Paul, Saeys Wouter

机构信息

Division of Mechatronics, Biostatistics and Sensors (MeBioS)-Department of Biosystems, Katholieke Universiteit Leuven, Kasteelpark Arenberg, 30, 3001 Leuven, Belgium.

Division Animal and Human Health Engineering (A2H)-Department of Biosystems, Katholieke Universiteit Leuven, Kleinhoefstraat 4, 2440 Geel, Belgium.

出版信息

Foods. 2023 Mar 11;12(6):1189. doi: 10.3390/foods12061189.

DOI:10.3390/foods12061189
PMID:36981114
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10048234/
Abstract

In the egg industry, fast and highly reliable quality measurements are crucial. This study presents a novel method based on Hertz contact theory that allows for non-destructive determination of eggshell strength. The goal of the study was to evaluate the material strength (Young's Modulus) and structural strength (stiffness) of eggshells. To this end, an experimental setup was constructed to measure the collision of an eggshell with a small steel ball, which was recorded using a laser vibrometer. The study analyzed a sample of 120 eggs and found a correlation of 0.85 between the traditional static stiffness measured during quasi-static compression tests and the stiffness obtained from the Hertz contact theory. The results show that Hertz contact theory is valid for small steel spheres impacting eggshells, while a sensitivity analysis indicated that the most important factor in determining the strength of the eggshell is the contact duration between the egg and the impactor. These results open up the possibility of grading eggs based on their shell strength in a non-destructive manner.

摘要

在蛋类产业中,快速且高度可靠的质量检测至关重要。本研究提出了一种基于赫兹接触理论的新方法,该方法能够无损测定蛋壳强度。本研究的目的是评估蛋壳的材料强度(杨氏模量)和结构强度(刚度)。为此,构建了一个实验装置来测量蛋壳与小钢球的碰撞,并使用激光测振仪进行记录。该研究分析了120个鸡蛋样本,发现在准静态压缩试验中测得的传统静态刚度与从赫兹接触理论获得的刚度之间的相关性为0.85。结果表明,赫兹接触理论对于小钢球撞击蛋壳是有效的,而敏感性分析表明,决定蛋壳强度的最重要因素是鸡蛋与撞击器之间的接触持续时间。这些结果为以无损方式根据蛋壳强度对鸡蛋进行分级开辟了可能性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/37fb144f5006/foods-12-01189-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/d46b23cb33c7/foods-12-01189-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/43a1089b080c/foods-12-01189-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/bfacbe8ce907/foods-12-01189-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/926dc28fd17a/foods-12-01189-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/d6b025ebe391/foods-12-01189-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/812c1bbb4c3b/foods-12-01189-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/268c1bbe6bbf/foods-12-01189-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/8c9614296b8b/foods-12-01189-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/37fb144f5006/foods-12-01189-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/d46b23cb33c7/foods-12-01189-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/43a1089b080c/foods-12-01189-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/bfacbe8ce907/foods-12-01189-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/926dc28fd17a/foods-12-01189-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/d6b025ebe391/foods-12-01189-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/812c1bbb4c3b/foods-12-01189-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/268c1bbe6bbf/foods-12-01189-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/8c9614296b8b/foods-12-01189-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/efc9/10048234/37fb144f5006/foods-12-01189-g009.jpg

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本文引用的文献

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2
Duck Eggshell Crack Detection by Nondestructive Sonic Measurement and Analysis.鸭蛋壳裂纹的无损声测量与分析检测
Sensors (Basel). 2021 Nov 2;21(21):7299. doi: 10.3390/s21217299.
3
Eggshell crack detection based on the transient impact analysis and cross-correlation method.基于瞬态冲击分析和互相关方法的蛋壳裂纹检测
基于赫兹接触理论的无损蛋壳强度评估 - 第二部分:实施与验证
Foods. 2023 Mar 22;12(6):1340. doi: 10.3390/foods12061340.
Curr Res Food Sci. 2021 Oct 6;4:716-723. doi: 10.1016/j.crfs.2021.09.012. eCollection 2021.
4
Monitoring of eggshell breakage and eggshell strength in different production chains of consumption eggs.食用蛋不同生产链中蛋壳破损情况及蛋壳强度的监测。
Poult Sci. 2006 Sep;85(9):1670-7. doi: 10.1093/ps/85.9.1670.
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Heritability and genetic correlation of measurements derived from acoustic resonance frequency analysis; a novel method of determining eggshell quality in domestic hens.基于声共振频率分析得出的测量值的遗传力和遗传相关性;一种测定家鸡蛋壳质量的新方法。
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6
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7
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