Optimal Versus Equal Dimensions of Round Bales of Agricultural Materials Wrapped with Plastic Film—Conflict or Compliance?

For the assumed bale volume, its dimensions (diameter, height), minimizing the consumption of the plastic film used for bale wrapping with the combined 3D method, depend on film and wrapping parameters. Incorrect selection of these parameters may result in an optimal bale diameter, which differs sig...

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Autor principal:	Anna Stankiewicz
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	3D bale wrapping method equal bale dimensions mathematical model minimal film consumption optimal bale dimensions round bales Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/66d44e14836743b89660c6462ad72cbd
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spelling	oai:doaj.org-article:66d44e14836743b89660c6462ad72cbd2021-11-11T15:17:16ZOptimal Versus Equal Dimensions of Round Bales of Agricultural Materials Wrapped with Plastic Film—Conflict or Compliance?10.3390/app1121102462076-3417https://doaj.org/article/66d44e14836743b89660c6462ad72cbd2021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/10246https://doaj.org/toc/2076-3417For the assumed bale volume, its dimensions (diameter, height), minimizing the consumption of the plastic film used for bale wrapping with the combined 3D method, depend on film and wrapping parameters. Incorrect selection of these parameters may result in an optimal bale diameter, which differs significantly from its height, while in agricultural practice bales with diameters equal or almost equal to the height dominate. The aim of the study is to formulate and solve the problem of selecting such dimensions of the bale with a given volume that the film consumption is minimal and, simultaneously, the bale diameter is equal or almost equal to its height. Necessary and sufficient conditions for such equilibria of the optimal bale dimensions are derived in the form of algebraic equations and inequalities. Four problems of the optimal bale dimension design guaranteeing assumed equilibrium of diameter and height are formulated and solved; both free and fixed bale volume are considered. Solutions of these problems are reduced to solving the sets of simple algebraic equations and inequalities with respect to two variables: integer number of film layers and continuous overlap ratio in bottom layers. Algorithms were formulated and examples regarding large bales demonstrate that they can handle the optimal dimensions’ equilibria problems.Anna StankiewiczMDPI AGarticle3D bale wrapping methodequal bale dimensionsmathematical modelminimal film consumptionoptimal bale dimensionsround balesTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10246, p 10246 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	3D bale wrapping method equal bale dimensions mathematical model minimal film consumption optimal bale dimensions round bales Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	3D bale wrapping method equal bale dimensions mathematical model minimal film consumption optimal bale dimensions round bales Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Anna Stankiewicz Optimal Versus Equal Dimensions of Round Bales of Agricultural Materials Wrapped with Plastic Film—Conflict or Compliance?
description	For the assumed bale volume, its dimensions (diameter, height), minimizing the consumption of the plastic film used for bale wrapping with the combined 3D method, depend on film and wrapping parameters. Incorrect selection of these parameters may result in an optimal bale diameter, which differs significantly from its height, while in agricultural practice bales with diameters equal or almost equal to the height dominate. The aim of the study is to formulate and solve the problem of selecting such dimensions of the bale with a given volume that the film consumption is minimal and, simultaneously, the bale diameter is equal or almost equal to its height. Necessary and sufficient conditions for such equilibria of the optimal bale dimensions are derived in the form of algebraic equations and inequalities. Four problems of the optimal bale dimension design guaranteeing assumed equilibrium of diameter and height are formulated and solved; both free and fixed bale volume are considered. Solutions of these problems are reduced to solving the sets of simple algebraic equations and inequalities with respect to two variables: integer number of film layers and continuous overlap ratio in bottom layers. Algorithms were formulated and examples regarding large bales demonstrate that they can handle the optimal dimensions’ equilibria problems.
format	article
author	Anna Stankiewicz
author_facet	Anna Stankiewicz
author_sort	Anna Stankiewicz
title	Optimal Versus Equal Dimensions of Round Bales of Agricultural Materials Wrapped with Plastic Film—Conflict or Compliance?
title_short	Optimal Versus Equal Dimensions of Round Bales of Agricultural Materials Wrapped with Plastic Film—Conflict or Compliance?
title_full	Optimal Versus Equal Dimensions of Round Bales of Agricultural Materials Wrapped with Plastic Film—Conflict or Compliance?
title_fullStr	Optimal Versus Equal Dimensions of Round Bales of Agricultural Materials Wrapped with Plastic Film—Conflict or Compliance?
title_full_unstemmed	Optimal Versus Equal Dimensions of Round Bales of Agricultural Materials Wrapped with Plastic Film—Conflict or Compliance?
title_sort	optimal versus equal dimensions of round bales of agricultural materials wrapped with plastic film—conflict or compliance?
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/66d44e14836743b89660c6462ad72cbd
work_keys_str_mv	AT annastankiewicz optimalversusequaldimensionsofroundbalesofagriculturalmaterialswrappedwithplasticfilmconflictorcompliance
_version_	1718435756567953408

Optimal Versus Equal Dimensions of Round Bales of Agricultural Materials Wrapped with Plastic Film—Conflict or Compliance?

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