Multiple linear regression model of Golden apple's failure characteristics under repeated compressive load

Authors

  • Csaba Farkas Szent István University, Faculty of Mechanical Engineering, Department of Measurement Technology, 2100 GödöllÅ‘, Páter Károly utca 1. Tel.: +36 28 522 000/1532 https://orcid.org/0000-0002-0832-9973
  • László Fenyvesi Szent István University, Faculty of Mechanical Engineering, Department of Agricultural Engineering, 2100 GödöllÅ‘, Páter Károly utca 1. Tel.: +36 28 522 610 https://orcid.org/0000-0002-4657-5868
  • Károly Petróczki Szent István University, Faculty of Mechanical Engineering, Department of Measurement Technology, 2100 GödöllÅ‘, Páter Károly utca 1. Tel.: +36 28 522 000/1468

DOI:

https://doi.org/10.5219/1168

Keywords:

repeated load, fruit damage, analysis of variance, time to failure, mechanical fatigue

Abstract

In this paper, the multiple linear regression model of mechanical properties related to the failure mechanism of apple tissue under repeated compressive load was investigated. More refined failure characteristics may lead to improved processing and logistics aspects of the given fruits. For our study, the following failure-related factors are considered during the cyclic measurements of Golden Delicious apples: the viscoelastic parameters, the dissipated energy, and the rupture point of the cell-structure, which is described with the time to failure parameter (TTF). For the determination of viscoelastic components, the three element Poynting-Thomson body was applied, and a closed-loop control system is identified with the measured creep data. From the hysteresis loop - in each cycle of the force-deformation parametric curve - the dissipated energy can be calculated with a numeric integration method. The rupture point of the fruit tissue - where the measuring pin is breaking through the peel and the cortex - is observed with a high-framerate video analysis, so that the time index of the failure point can be evaluated. The focus is to define the influence of the mentioned factors to the TTF parameter of the examined fruit material. During the statistical evaluation of the resulted data, the failure of time can be successfully determined with a multiple lienar regression model of the determined viscoelastic and dissipated energy variables. With the resulted equation, the failure time of Golden Delicious apples can be predicted based on the measured failure-related parameters obtained during the compressive load tests.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

References

Ahmadi, E., Barikloo, H., Kashfi, M. 2016. Viscoelastic finite element analysis of the dynamic behavior of apple under impact loading with regard to its different layers. Computers and Electronics in Agriculture, vol. 121, p. 1-11. https://doi.org/10.1016/j.compag.2015.11.017 DOI: https://doi.org/10.1016/j.compag.2015.11.017

Blahovec, J. 1996. Stress relaxation in cherry fruit. Biorheology, vol. 33, no. 6, p. 451-462. https://doi.org/10.1016/S0006-355X(97)00033-4 DOI: https://doi.org/10.1016/S0006-355X(97)00033-4

Bohdziewicz, J., Czachor, G. 2016. Dissipation of Energy in Tissues of Berry Fruit of Selected Plants Species under Cyclic Load Conditions. Agricultural Engineering, vol. 20, no. 4, p. 5-14. https://doi.org/10.1515/agriceng-2016-0059 DOI: https://doi.org/10.1515/agriceng-2016-0059

Ciupak, A., Gładyszewska, B. 2011. Elastic hysteresis determination for the skin of tomato fruit during uniaxial tension test. Teka Commission of motorization and power industry in agriculture. OL PAN, ll, p. 40-47. http://journals.pan.pl/Content/91389/mainfile.pdf

Delgadillo, R., Bahia, H. 2005. Rational fatigue limits for asphalt binders derived from pavement analysis. Asphalt paving technology: Journal of the association of asphalt paving technologics, vol 74, p. 1-42.

Diels, E., Odenthal, T., Keresztes, J., Vanmaercke, S., Verboven, P., Nicolaï, B., Saeys, W., Ramon, H., Smeets, B. 2016. Development of a visco-elastoplastic contact force model and its parameter determination for apples. Postharvest Biology and Technology, vol. 120, p. 157-166. https://doi.org/10.1016/j.postharvbio.2016.06.003 DOI: https://doi.org/10.1016/j.postharvbio.2016.06.003

Dintwa, E., Van Zeebroeck, M., Ramon, H., Tijskens, E. 2008. Finite element analysis of the dynamic collision of apple fruit. Postharvest Biology and Technology, vol. 49, no. 2, p. 260-276. https://doi.org/10.1016/j.postharvbio.2008.01.012 DOI: https://doi.org/10.1016/j.postharvbio.2008.01.012

Farkas, C., Fenyvesi, L., Petróczki, K. 2019a. Analysis of energy-transport inside pome fruits during repeated compressive load. (Almástermésű gyümölcsökben kialakuló energiatranszport-elemzés ismétlődő terheléssel végzett roncsolásos vizsgálat útján.) Mezőgazdasági Technika, 2019/07, p. 2-5. (in Hungarian)

Farkas, C., Fenyvesi, L., Petróczki, K. 2019b. Identification and Frequency Dependence of Viscoelastic Parameters during Dynamic Creep Tests on Selected Pome Fruits. AgriEngineering, vol. 1, no. 3, p. 324-331. https://doi.org/10.3390/agriengineering1030024 DOI: https://doi.org/10.3390/agriengineering1030024

Fenyvesi, L. 2007. Physical and Mechanical Characteristics of Fruit Damages. In Sitkei, Gy. Technical aspects of horticultural production. Gödöllő: Hungarian Institute of Agricultural Engineering. p. 108-141. ISBN-963-611-436-6

Ferreira, M., Sargent, S., Brecht, J., Chandler, C. 2008. Strawberry fruit resistance to simulated handling. Scientia Agricola, vol. 65, no. 5, p. 490-495. https://doi.org/10.1590/S0103-90162008000500007 DOI: https://doi.org/10.1590/S0103-90162008000500007

Fischer D., Craig, W. L., Watada, A. E., Douglas, W., Ashby, B. H. 1992. Simulated In-Transit Vibration Damage to Packaged Fresh Market Grapes and Strawberries. Applied Engineering in Agriculture, vol. 8, no. 3, p. 363-366. https://doi.org/10.13031/2013.26078 DOI: https://doi.org/10.13031/2013.26078

Gnedenko, B., Pavlov, I., Ushakov I., Chakravarty, S., 1999. Statistical reliability engineering. New York: John Wiley & Sons Inc. ISBN-978-0-471-12356-9. https://doi.org/10.1002/9780470172407 DOI: https://doi.org/10.1002/9780470172407

Gorji Chakespari, A., Rajabipour, A., Mobli, H. 2010. Anisotropic Relaxation and Creep Properties of Apple (cv. Shafi Abadi and Golab Kohanz). Advance Journal of Food Science and Technology, vol. 2, no. 4, p. 200-205. https://doi.org/10.5539/jas.v2n3p61 DOI: https://doi.org/10.5539/jas.v2n3p61

Hinsch, R. T., Slaughter, D. C., Craig, W. L., Thompson, J. F. 1993. Vibration of Fresh Fruits and Vegetables During Refrigerated Truck Transport. Transactions of the ASAE, vol. 36, no. 4, p. 1039-1042. https://doi.org/10.13031/2013.28431 DOI: https://doi.org/10.13031/2013.28431

Hussein, Z., Fawole, O., Opara, U. 2018. Preharvest factors influencing bruise damage of fresh fruits – a review. Scientia Horticulturae, vol. 229, p. 45-58. https://doi.org/10.1016/j.scienta.2017.10.028 DOI: https://doi.org/10.1016/j.scienta.2017.10.028

Kahirdeh, A., Khonsari, M. 2015. Energy dissipation in the course of the fatigue degradation: Mathematical derivation and experimental quantification. International Journal of Solids and Structures, vol. 77, p. 74-85. https://doi.org/10.1016/j.ijsolstr.2015.06.032 DOI: https://doi.org/10.1016/j.ijsolstr.2015.06.032

Kim, J., Roque, R., Birgisson, B. 2006. Interpreting Dissipated Energy from Complex Modulus Data. Road Materials and Pavement Design, vol. 7, no. 2, p. 223-245. https://doi.org/10.1080/14680629.2006.9690034 DOI: https://doi.org/10.1080/14680629.2006.9690034

Lee, J., Tan, J., Waluyo, S. 2012. Measurement of Dynamic Compressive Properties of Apples using the Oscillatory Test. Journal of Biosystems Engineering, vol. 37, no. 1, p. 28-35. https://doi.org/10.5307/JBE.2012.37.1.028 DOI: https://doi.org/10.5307/JBE.2012.37.1.028

Lee, J., Tan, J., Waluyo, S. 2016. Hysteresis characteristics and relationships with the viscoelastic parameters of apples. Engineering in Agriculture, Environment and Food, vol. 9, no. 1, p. 36-42. https://doi.org/10.1016/j.eaef.2015.09.005 DOI: https://doi.org/10.1016/j.eaef.2015.09.005

Lien, C., Ting, C. 2014. Assessing guava maturity by statistical analyses of dropped fruit impact responses. Postharvest Biology and Technology, vol. 95, p. 20-27. https://doi.org/10.1016/j.postharvbio.2014.03.013 DOI: https://doi.org/10.1016/j.postharvbio.2014.03.013

McLaughlin, N. B., Pitt, R. E. 1984. Failure Characteristics of Apple Tissue Under Cyclic Loading. Transactions of the ASAE, vol. 27, no. 1, p. 311-320. https://doi.org/10.13031/2013.32782 DOI: https://doi.org/10.13031/2013.32782

Miraei Ashtiani, S., Sadrnia, H., Mohammadinezhad, H., Aghkhani, M., Khojastehpour, M. and Abbaspour-Fard, M. 2019. FEM-based simulation of the mechanical behavior of grapefruit under compressive loading. Scientia Horticulturae, vol. 245, p. 39-46. https://doi.org/10.1016/j.scienta.2018.10.006 DOI: https://doi.org/10.1016/j.scienta.2018.10.006

Mohsenin, N. (1986). Physical properties of plant and animal materials. Amsterdam: Gordon and Breach Science Publishers. ISBN-067-721-370-0

Petróczki, K., Fenyvesi, L. 2014. Improvement of compressive testing instrument with wide range of speed for examining agricultural materials. Computers and Electronics in Agriculture, vol. 101, p. 42-47. https://doi.org/10.1016/j.compag.2013.12.003 DOI: https://doi.org/10.1016/j.compag.2013.12.003

Pillinger, G., Géczy, A., Hudoba, Z., Kiss, P. 2018. Determination of soil density by cone index data. Journal of Terramechanics, vol. 77, p. 69-74. https://doi.org/10.1016/j.jterra.2018.03.003 DOI: https://doi.org/10.1016/j.jterra.2018.03.003

Sangpetngam, B. 2003. Development and evaluation of a viscoelastic boundary element method to predict asphalt pavement cracking. University of Florida. https://archive.org/details/developmentevalu00sang/page/n22

Sitkei, G. 1986. Mechanics of agricultural materials. Budapest: Akadémiai Kiadó. ISBN- 978-044-460-103-2

Springael, J., Paternoster, A., Braet, J. 2018: Reducing postharvest losses of apples: Optimal transport routing (while minimizing total costs). Computers and Electronics in Agriculture, vol. 146, p. 136-144. https://doi.org/10.1016/j.compag.2018.02.007 DOI: https://doi.org/10.1016/j.compag.2018.02.007

Stropek, Z., Gołacki, K. 2013. The effect of drop height on bruising of selected apple varieties. Postharvest Biology and Technology, vol. 85, p. 167-172. https://doi.org/10.1016/j.postharvbio.2013.06.002 DOI: https://doi.org/10.1016/j.postharvbio.2013.06.002

Tscheuschner, H., Doan, D. 1988. Modelling of mechanical properties of apple flesh under compressive load. Journal of Food Engineering, vol. 8, no. 3, p. 173-186. https://doi.org/10.1016/0260-8774(88)90052-0 DOI: https://doi.org/10.1016/0260-8774(88)90052-0

Vursavus, K., Kesilmis, Z., Oztekin, B. 2017. Nondestructive dropped fruit impact test for assessing tomato firmness. Chemical Engineering Transactions, vol. 58, p. 325-330 https://doi.org/10.3303/CET1758055

Vursavuş, K., Özgüven, F. 2004. Determining the Effects of Vibration Parameters and Packaging Method on Mechanical Damage in Golden Delicious Apples. Turkish Journal of Agriculture and Forestry, vol. 28, p. 311-320.

Wang, W., Yang, Z., Lu, H., Fu, H. 2018. Mechanical damage caused by fruit-to-fruit impact of litchis. IFAC-PapersOnLine, vol. 51, no. 17, p. 532-535. https://doi.org/10.1016/j.ifacol.2018.08.154 DOI: https://doi.org/10.1016/j.ifacol.2018.08.154

Wang, Y., Wang, J., Yao, C., Lu, Q. 2009. Firmness measurement of peach by impact force response. Journal of Zhejiang University SCIENCE B, vol. 10, no. 12, p. 883-889. https://doi.org/10.1631/jzus.B0920108 DOI: https://doi.org/10.1631/jzus.B0920108

Yousefi, S., Farsi, H., Kheiralipour, K. 2016. Drop test of pear fruit: Experimental measurement and finite element modelling. Biosystems Engineering, vol. 147, p. 17-25. https://doi.org/10.1016/j.biosystemseng.2016.03.004 DOI: https://doi.org/10.1016/j.biosystemseng.2016.03.004

Zhao, W., Fang, Y., Zhang, Q., Guo, Y., Gao, G., Yi, X. 2017. Correlation analysis between chemical or texture attributes and stress relaxation properties of ‘Fuji’ apple. Postharvest Biology and Technology, vol. 129, p. 45-51. https://doi.org/10.1016/j.postharvbio.2017.03.010 DOI: https://doi.org/10.1016/j.postharvbio.2017.03.010

Published

2019-10-28

How to Cite

Farkas, C., Fenyvesi, L., & Petróczki, K. (2019). Multiple linear regression model of Golden apple’s failure characteristics under repeated compressive load. Potravinarstvo Slovak Journal of Food Sciences, 13(1), 793–799. https://doi.org/10.5219/1168