Mathematical modeling—Computer-aided food engineering

2022 ◽  
pp. 277-290
Author(s):  
Ferruh Erdogdu ◽  
Ashim Datta ◽  
Olivier Vitrac ◽  
Francesco Marra ◽  
Pieter Verboven ◽  
...  
2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Peixiao Zheng ◽  
Gaoming Jiang ◽  
Honglian Cong

Abstract Recently, there is an increasing interest in design of circular weft jacquard because of the pursuit of fashion and comfort. Aiming at the complexity of the computer-aided design method of the existing circular weft-knitted jacquard fabrics, which is not conducive to the rapid design and intelligible for designers, a design method was proposed to transform pattern notation into knitting diagram efficiently, which was based on knitting rules and its creation as a set of jacquard modules. Knitting characteristics of jacquard fabrics were studied as a precondition. On this basis, the design procedures of jacquard modules were analyzed and illustrated by taking tricolor bird's eye backing jacquard as an example. Jacquard modules with various jacquard effects were designed and stored in a jacquard module database. To mathematically describe pattern notation, knitting diagram, and jacquard module, two-dimensional matrixes were established by the method of mathematical modeling, and a corresponding algorithm for the transformation of the pattern to knitting information according to the knitting rules of jacquard modules, which can be applied to ordinary jacquard fabrics was summarized. The project of tricolor circular weft-knitted jacquard with bird's eye in the reverse and four-color air-layer jacquard were taken for instance to verify the models and algorithm. The results obtained show that the approach can efficiently and conveniently realize the designation and machine-knitting of weft-knitted jacquard fabric, which provide a theoretical basis and notation of modeling for the computer-aided design of circular weft-knitted jacquard fabrics.


1995 ◽  
Vol 38 (3) ◽  
pp. 675-683 ◽  
Author(s):  
V. Ros ◽  
R. J. Smith ◽  
S. J. Marley ◽  
D. C. Erbach

1988 ◽  
Vol 22 (4) ◽  
pp. 264-267
Author(s):  
V. Ya. Karelin ◽  
A. I. Denisov

Author(s):  
Milan Bernat ◽  
Jaroslav Džmura ◽  
Renáta Bernátová ◽  
Ľubomr Žáčok ◽  
Jan Pavlovkin

<p>The article deals with the application of the method for mathematical modeling and simulation at solving some issues in the area of electrostatic technology. It focuses on the processes in electrostatic separation and precipitation. Computer simulation is highly required for equipment design and for their diagnostics in critical operating states using theoretical calculations and experimental data evaluation. The presented computer models may be applied both by project and design engineers using the most advanced computer-aided design of electrostatic technologies.</p>


2012 ◽  
Vol 487 ◽  
pp. 277-280
Author(s):  
Pei Jian Zhang ◽  
Ming Xu Pan ◽  
Li Hai Wang

Computer aided design was adopted into the design process of winching drum in this paper. First, mathematical modeling was conducted to the design based on traditional means. Then the parameters of the winching drum were optimized by MATLAB. And the smallest drum was obtained under the condition of same length winching rope. In order to check the optimal design result of the strength of the drum in the bad operation environment, finite element analysis method was adopted, which simulated and verified the reliability of the winching drum.


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