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Prediction and Optimization of Electrospun Polyacrylonitrile Fiber Diameter Based on Grey System Theory

1
College of Mechanical Engineering, Donghua University, Shanghai 201620, China
2
College of Textiles, Donghua University, Shanghai 201620, China
*
Author to whom correspondence should be addressed.
Materials 2019, 12(14), 2237; https://doi.org/10.3390/ma12142237
Received: 5 June 2019 / Revised: 6 July 2019 / Accepted: 8 July 2019 / Published: 11 July 2019
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Abstract

This paper provides a new method for predicting the diameter of electrospun nanofibers. Based on the grey system theory, the effects of polyacrylonitrile mass fraction, voltage, flow rate, and receiving distance on fiber diameter were studied. The GM(1,1) (grey model) model and DNGM(1,1) (The DNGM (1,1) model is based on the whitening differential equation using parameters to Directly estimate the approximate Non-homogeneous sequence Grey prediction Model) model were established to predict fiber diameter by a single-factor change, and the results showed high prediction accuracy. The multi-variable grey model MGM(1,n) (MGM(1,n) is a Multivariate Grey prediction Model) was used for prediction of fiber diameter when multiple factors change simultaneously. The results showed that the average modeling fitting error is 8.62%. The background value coefficients of the MGM(1,n) model were optimized, the average modeling fitting error was reduced to 1.01%, and the average prediction error was reduced to 1.33%. Combining the fractional optimization with the background-value coefficient optimization, the optimal background-value coefficient α and the order r were selected. The results showed that the average modeling fitting error is 0.85%, and the average prediction error is 0.38%. The results demonstrate that the grey system theory can effectively predict the diameter of polyacrylonitrile electrospinning fibers with high prediction accuracy. This theory can increase the control of nanofiber diameters in production. View Full-Text
Keywords: electrospinning; nanofiber diameter prediction; grey prediction theory; background value optimization; fractional order accumulation electrospinning; nanofiber diameter prediction; grey prediction theory; background value optimization; fractional order accumulation
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Zhou, Q.; Lin, L.; Chen, G.; Du, Z. Prediction and Optimization of Electrospun Polyacrylonitrile Fiber Diameter Based on Grey System Theory. Materials 2019, 12, 2237.

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