scholarly journals Analysis of dynamic properties of selected basic elements of automation of non-integer orders

2018 ◽  
Vol 19 (12) ◽  
pp. 514-525
Author(s):  
Mirosław Luft ◽  
Artur Nowocień ◽  
Daniel Pietruszczak

The paper presents the application of the fractional calculus to describe the dynamics of selected basic elements of automation. For the analyzed models, the integer and non-integer order transmittance was determined. Relationships describing time characteristics were determined and frequency; on the path of computer simulation, the characteristics of the analyzed systems were obtained. MATLAB software was used for simulation research.

2019 ◽  
Vol 1 (1) ◽  
pp. 43-49
Author(s):  
Daniel Pietruszczak ◽  
Artur Nowocień

The paper presents the application of fractional calculus to describe the dynamics of selected pneumatic elements and systems. In the construction of mathematical models of the analysed dynamic systems, the Riemann-Liouville definition of differintegral of non- integer order was used. For the analysed model,  transfer function of integer  and non-integer order was determined. Functions describing characteristics in frequency domains were determined,  whereas the characteristics of the elements and systems were obtained by means of computer simulation. MATLAB programme were used for the simulation research.


2014 ◽  
Vol 610 ◽  
pp. 420-424
Author(s):  
Jing Zhao ◽  
Xiu Juan Fan ◽  
Qin Xu

With the diversification tendency of clothing art, this paper mainly researches on the simulation of concave-convex type carvings on different fabrics by employing some cartoon characters such as Hello Kitty as direct patterns. Spectrum reconstruction processes are carried out on both the vivid characters and the fabrics with different materials and textures so as to integrate the favorable features of both sides. This paper also combines the image processing technology with the computer simulation technology, and sets cartoon elements as one of the pop cultures’ label. Its application in clothing keeps in line with the modern fashion trends, therefore creating a profound influence in this field. Moreover, the application of cartoon characters to the simulation research of textile fabric pattern designs is highly innovative, vivid, and has a very broad potential market.


Author(s):  
Yiheng Wei ◽  
Weidi Yin ◽  
Yanting Zhao ◽  
Yong Wang

The primary work of this paper is to investigate some potential properties of Grünwald–Letnikov discrete fractional calculus. By employing a concise and convenient description, this paper not only establishes excellent relationships between fractional difference/sum and the integer order case but also generalizes the Z-transform and convolution operation.


2019 ◽  
Vol 254 ◽  
pp. 02021
Author(s):  
Jacek Marcinkiewicz ◽  
Jarosław Selech ◽  
Żaneta Staszak ◽  
Łukasz Gierz ◽  
Dariusz Ulbrich ◽  
...  

The paper presents the results of research aimed at the verification of the existing design solutions of four example sowing units for agricultural seed drills with the most frequently used types of sowing wheels. The research was conducted with the use of modern computer simulation systems based on the discrete element method (DEM) with the evaluation of the efficiency of selected design solutions in terms of achieved performance and metering uniformity. The paper includes a description of virtual research models and the employed mathematical models used for mirroring contact between seeds. Moreover, for the purpose of verification of the obtained results, bench tests were conducted using actual models of selected design solutions.


2010 ◽  
Vol 114 (19) ◽  
pp. 9187-9188
Author(s):  
R. Valiullin ◽  
S. Naumov ◽  
P. Galvosas ◽  
J. Kärger ◽  
H-J. Woo ◽  
...  

2008 ◽  
Vol 138 ◽  
pp. 451-475 ◽  
Author(s):  
Andrzej Sikorski

Properties of macromolecules confined in a narrow slit, pore or capillary are important due to of their practical importance. Theoretical treatment of such systems is also interesting because the introduction of confinement has an impact on most properties of polymer chains and it gained a longstanding attention. In order to determine the properties of such systems coarse-grained models of confined polymers were designed where macromolecules were represented by united atoms. Lattice approximation was also often introduced. Different macromolecular architectures were studied: linear, cyclic and star-branched chains. Computer simulation techniques (the variants of the Monet Carlo method like the Metropolis algorithm and the Replica Exchange method as well as Molecular Dynamics and Brownian Dynamics methods) applied for studies of such models were reviewed and evaluated. The structure of the polymer film and the dynamic properties were mainly presented and discussed. The influence of the width of the slit, the temperature and the force field on the dimension and the structure of chains were studied. It was shown that a moderate confinement stabilizes folded chains while a strong confinement does not.


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