On continuous inkjet systems: a printer driver for expiry date labels on cylindrical surfaces

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On continuous inkjet systems: a printer driver for expiry date labels on cylindrical surfaces 1 · F-Javier Almaguer1 · O. D´ıaz-Hernandez 2· ´ ´ Mario A. Aguirre-Lopez 2 3 Gerardo J. Escalera Santos · Javier Morales-Castillo

Received: 2 October 2018 / Accepted: 8 March 2019 / Published online: 17 May 2019 © Springer Science+Business Media, LLC, part of Springer Nature 2019

Abstract Continuous inkjet systems are commonly used to print expiry date labels for food products. These systems are designed to print on flat surfaces; however, a lot of food products package have a cylindrical shape (e.g., bottled and canned products) which causes an enlargement in characters at the ends of the label. In this work, we present an algorithm to correct this defect by calculating the extra-distance that an ink drop travels when the printing surface approaches an elliptic cylinder. Each charged ink drop is modeling as a solid particle which is affected by the air drag, Earth’s gravitation, and voltage due to the electrical field that causes the perturbation in the ink drop path. Numerical results show the correction of the enlargement mentioned above by varying the electric field along the width of the label. In addition, the equation and the values of a second electric field to correct the printing’s inclination caused by the method of the system’s operation are presented. Keywords Continuous inkjet system · Printer driver · Food industry · Ballistic trajectory · Drop dynamics Mathematics Subject Classification (2010) 37M05 · 68-04 · 68U20

1 Introduction Nowadays, commercial and industrial world exist, an extensive variety of similar products that costumers can buy. This has led producers to implement marketing strategies, which go from satisfying the demand by minimizing the production time and extending the variety of their products, to persuading the costumer by adding Communicated by: Pavel Solin  Javier Morales-Castillo

[email protected]

Extended author information available on the last page of the article.

2020

M.A. Aguirre-Lo´ pez et al.

nutritional attributes, expiry date labels and, in general, improving the visual esthetics of the products [1]. Moreover, the visual product esthetics is a fundamental aspect to consider since it can affect not only the decision of the customer to buy or not the product, but also his judgment on the price and on a possible connection with the product. A bad logo design and data labels with blurred or crooked letters can be the difference between establishing that connection or buy the product only one time[2, 3]. The focus of this paper is on the expiry date labels of products with an approx cylindrical shape, such as many kind of glass and plastic bottles, bagged, and canned foodstuff and eggs, in which, the final appearance of the labels depends on the technique of printing. Within the methods to print expiry labels are seals, stickers, laser, and inkjet printing systems, which are the most used. The predominance of inkjet technologies over other printing methods is due