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1
Content available The non-Keller mapping with one zero at infinity
Biernat G., Ciekot A.
Journal of Applied Mathematics and Computational Mechanics
|
2016
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Vol. 15, nr 4
5--10
EN
In this paper the polynomial mapping of two complex variables having one zero at infinity is considered. Unlike with Keller mapping, if determinant of the Jacobian of this mapping is constant then it must be zero.
2
Content available Frequency analysis of a double-walled nanotubes system
Ciekot A., Kukla S.
Journal of Applied Mathematics and Computational Mechanics
|
2014
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Vol. 13, nr 4
27--34
EN
In the present paper, a problem of free vibration of a double-walled nanotubes system is considered. The nanotubes of the system are coupled by an arbitrary number of elastic rings. The Green’s functions method was used to obtain a solution to the problem. Numerical results are presented graphically.
3
Content available Frequency analysis of a double-nanobeam system
Ciekot A., Kukla S.
Journal of Applied Mathematics and Computational Mechanics
|
2014
|
Vol. 13, nr 1
23--31
EN
In this paper, a problem of transverse free vibration of a double-nanobeam-system is considered. The nanobeams of the system are coupled by an arbitrary number of translational springs. The solution of the problem by using the Green’s functions properties is obtained. A numerical example is presented.
4
Content available Free vibration to a system of cantilever nanobeams
Ciekot A., Kukla S.
Journal of Applied Mathematics and Computational Mechanics
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2014
|
Vol. 13, nr 3
29--36
EN
This paper presents a solution to the free vibration problem of a system of two cantilever nanobeams. The nanobeams of the system are axially loaded and coupled by discrete translational springs. The solution of the problem by using the Green’s function method has been obtained. A numerical example shows the effect of the small scale on free vibration frequencies of the nanobeam system considered.
5
Content available Free longitudinal vibration of a double-nanorod system
Ciekot A., Kukla S.
Journal of Applied Mathematics and Computational Mechanics
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2013
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Vol. 12, nr 2
15--22
EN
In this paper a solution to the problem of the free longitudinal vibration of a double-nanorod-system (DNRS) is presented. The nanorods of the system are coupled by many translational springs. The clamped-clamped and clamped-free boundary conditions are employed. The problem of vibration is solved by using the Green’s function method. The natural frequencies were numerically calculated.
6
Content available remote Optimization of dogboning phenomenon of the coronary artery stent
Ciekot A., Idziak-Jabłońska A., Lacki P.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2012
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Vol. 11, nr 2
25-31
EN
Optimization of the dogboning phenomenon of the coronary artery stent is the aim of the paper. The mathematical model for the slotted tube stent is formulated with the finite element analysis based on a parametric geometric model of stent. Some of the mechanical properties are examined: the expanding pressure, plastic strain, foreshortening and dogboning. This paper is focused on determination of the optimal parameters for lowest dogboning.
7
Content available remote Free axial vibration of a nanorod using the WKB method
Ciekot A.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
|
2012
|
Vol. 11, nr 4
29-34
EN
In this paper the solution of the vibration problem of a non-uniform nanorod is presented. The WKB method is applied to solve the equation of motion for free axial vibration of the nanorod.
8
Content available remote The polynomial tensor interpolation. Arithmetical case
Biernat G., Ciekot A.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2009
|
Vol. 8, nr 2
7-11
EN
In this paper the tensor interpolation by polynomials of several variables is considered. The effective formulas for polynomial coefficients for arithmetical case were obtained.
9
Content available remote The polynomial tensor interpolation
Biernat G., Ciekot A.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
|
2008
|
Vol. 7, nr 1
5-9
EN
In this paper the tensor interpolation by polynomials of several variables is considered.
10
Content available remote The polynomial interpolation for technical experiments
Biernat G., Ciekot A.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
|
2007
|
Vol. 6, nr 1
19-22
EN
In the article there are the interpolation of the empirical processes by polynomials of several variables.
11
Content available remote The motion of slab in continuous casting of steel taking into account supporting rollers
Ciekot A.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
|
2005
|
Vol. 4, nr 1
18-23
EN
An analysis of influence of supporting rollers on the vibration of slab in continuous casting of steel was carried out in the paper. The equation of motion for the slab taking into account effect of supporting rollers was formulated. An analysis of results obtained numerically was also made. The results were presented graphically.
12
Content available remote The stability of motion of slab in continuous casting of steel forced by oscillating caster
Ciekot A.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
|
2004
|
Vol. 3, nr 1
19--26
EN
In this paper the motion of the slab has been analysed. The equation of motion for the slab was solved numerically. The stability of the obtained solutions was determined with regard to the dependence of the casting speed and the intensity of heat exchange in the primary and secondary cooling zone.
13
Drgania podłużne prostoliniowego wlewka ciągłego odlewania
Ciekot A.
Informatyka w Technologii Materiałów
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2004
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T. 4, Nr 1-2
1-7
PL
Zaproponowany w pracy model układu wlewek-krystalizator pozwolił na uwzględnienie w analizie stanu przemieszczenia wlewka takich nowych elementów jak: źparametry ruchu krystalizatora (częstość i amplituda drgań), źprędkość wyciągania wlewka, źwarunki oddziaływania krystalizatora na wlewek (współczynnik tarcia spoczynkowego i kinetycz nego). Na podstawie wykonanych obliczeń wyznaczono przemieszczenia wlewka wywołane oscylującym krystalizatorem oraz przeprowadzono analizę wpływu parametrów procesu COS na ten ruch i ocenę znaczenia wartości tych parametrów dla przebiegu procesu COS i jakości produktu końcowego
EN
The analysis of experimental measurements is sometimes difficult, if the registered data are superimposed be noisy signals. The source of such noise is often the improper sensitivity calibration of measuring devices. Sometimes, such data are even useless for the further analysis. Therefore, the goal of the present paper is an attempt of application of two different filtering techniques, including the artificial intelligence methods (artificial neural networks) to the filtering of the noisy experimental data. Examples of filtering results using described techniques are presented.
14
Content available remote Wpływ sił tarcia wywołanych ruchem oscylacyjnym krystalizatora na przemieszczenia i stan naprężenia wlewka COS
Ciekot A., Parkitny R.
Archiwum Odlewnictwa
|
2004
|
R. 4, nr 14
104-109
PL
W pracy analizowano wpływ sił tarcia spoczynkowego jak i kinetycznego pomiędzy wlewkiem i ruchomym krystalizatorem. Wykazano istotną rolę współczynnika tarcia spoczynkowego, który wraz ze wzrostem zwiększa przemieszczenia oraz stan naprężenia wlewka.
EN
In this paper the influence of the static and kinetic friction forces to displacement and state of stresses in the continuous slab casting has been analysed. These friction forces caused by the motion ofthe mould. The displacement and the state of stresses increase with the static coefficient of friction.
15
Content available remote Stany naprężenia wlewka ciągłego odlewania wywołane ruchem oscylującym krystalizatora
Ciekot A., Parkitny R.
Archiwum Odlewnictwa
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2003
|
R. 3, nr 9
89--94
PL
W pracy analizowano stany naprężenia wlewka COS wywołane ruchem krystalizatora. Naprężenia te są wywołane siłą stałą i oscylującą. Dla wlewka w obszarze krystalizatora przedstawiono wartości tych naprężeń.
EN
The paper provides analysis of the stress in solidified ingot, caused by the constant and oscillation force. This force is an effect of by the harmonic mold oscillation. The state of stresses for the slab in the mold area have been taken into account.
16
Content available remote Analiza stateczności rozwiązań równania ruchu wlewka COS
Ciekot A., Parkitny R.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
|
2002
|
Vol. 1, nr 1
33--38
PL
Sformułowano uproszczone równania ruchu prostoliniowego wlewka ciągłego odlewania. Określono stateczność rozwiązań tego równania, uzależniając ją od prędkości odlewania oraz intensywności wymiany ciepła w strefie pierwotnego i wtórnego chłodzenia.
17
Swobodne drgania podłużne wlewka prostego COS
Ciekot A., Parkitny R.
Zeszyty Naukowe. Mechanika / Politechnika Opolska
|
1999
|
z. 59
159-163
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