Abstract
A system of differential equations describing the behavior of a single ball in an elementary cell of the twisting-ball information display is considered. Nonlinear ordinary differential equations describe the ball shift and rotation. For efficient practical implementation of the display, the optimal values of ball and cell parameters are needed. To obtain these, the computer simulations were realized. Results of numerical experiments of modeling the balls with different physical parameters are presented. The numerical experiments show that the movement of the elementary particle of the twisting-ball display is extremely sensitive to the physical parameters of the balls but there exist nearly optimal combinations of these parameters. In this case the ball rotation intends towards some complete rotation cycle: if control voltage changes its polarity, the ball rotates nearly 180∘ and exposes right, black or white, size to the observer and the display works as expected.
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Acknowledgements
This work was partially supported by Estonian Institutional Research Project IUT20-57 and by FP7-SME-2010-1-286933 Project “E-SIGNAGE. Electronic paper message board for outdoor use with carbon NanoBud display module and GPRS I/O layer”.
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Miidla, P., Liiv, J., Mashirin, A., Tenno, T. (2016). Simulation of a Twisting-Ball Display Cell. In: Russo, G., Capasso, V., Nicosia, G., Romano, V. (eds) Progress in Industrial Mathematics at ECMI 2014. ECMI 2014. Mathematics in Industry(), vol 22. Springer, Cham. https://doi.org/10.1007/978-3-319-23413-7_123
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DOI: https://doi.org/10.1007/978-3-319-23413-7_123
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