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1
Content available remote Modelling of a rope: two discrete approaches
Kamiński H., Fritzkowski P.
Vibrations in Physical Systems
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2012
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Vol. 25
211--216
EN
Plane motion of a rope is considered. Two approaches to rope modelling are presented: the one based on classical concepts of analytical mechanics and the rigid finite element method. In both cases equations of motion are derived within the framework of the Lagrangian formalism, without the small displacement assumption. In a numerical experiment parameters matching of the two models is attempted, which cannot be performed in a straightforward manner. The rigid finite element method allows to consider the internal forces related to tension, shearing and bending, whereas the other approach, based strictly on rigid body mechanics, is much simpler.
2
Content available remote Dynamic analysis of collision of beam with rough obstacle
Bartkowiak T., Kamiński H., Sypniewska-Kamińska G.
Vibrations in Physical Systems
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2012
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Vol. 25
71--76
EN
Beam collision with an obstacle is studied in the work. It is presumed that the conditions, under which the motion of the beam before, during and after the collision is planar, are fulfilled. Friction forces between contacting surfaces of both objects are taken into consideration. The problem is solved using the Rigid Finite Element Method. Interaction between the beam and the obstacle, taking into account the elastic properties and surface roughness of the latter one, is modelled using the elastic element. Three different models of the interaction, corresponding to various conditions governing the process, have been presented. Numerical simulations for the three possible variants of collision have been conducted. The results for the three considered cases of the collision have been compared with data obtained using Routh method.
3
Content available Evaluation of the Accuracy of the Solution to the Heat Conduction Problem with the Interval Method of Crank-Nicolson Type
Jankowska M. A., Sypniewska-Kamińska G., Kamiński H.
Acta Mechanica et Automatica
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2012
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Vol. 6, no. 1
36-43
EN
The paper deals with the interval method of Crank-Nicolson type used for some initial-boundary value problem for the onedimensional heat conduction equation. The numerical experiments are directed at a short presentation of advantages of the interval solutions obtained in the floating-point interval arithmetic over the approximate ones. It is also shown how we can deal with errors that occur during computations in terms of interval analysis and interval arithmetic.
4
Content available remote Regular motion of a hanging rope
Fritzkowski P., Kamiński H.
Vibrations in Physical Systems
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2010
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Vol. 24
99--104
EN
Plane motion of a rope fixed at one end is considered. The body is modelled as a discrete system including transverse elasticity and dissipation. Mathematical model is presented and some numerical aspects are outlined. In simulations of dynamics vibrations of the system are excited by non-stationary constraints. It is shown that appropriate model properties and the excitation parameters can lead to quasi-periodic motion of the rope.
5
Content available remote A discrete elastic-dissipative system as a model of a rope
Fritzkowski P., Kamiński H.
Vibrations in Physical Systems
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2010
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Vol. 24
93--98
EN
Motion of a hanging rope is considered and a discrete model of the body is discussed. The system consists of identical members which are connected by rotational joints. Various character of both the elements and joints is considered, and equations of motion are presented. Consequently, there are several options: an extensible or non-extensible model, whose joints are ideal, elastic, dissipative or elastic-dissipative. Nevertheless, a concise generalized mathematical model is presented which is suitable for all the variants.
PL
W pracy rozważono ruch liny zawieszonej jednym końcem i omówiono jej dyskretny model. Układ złożony jest z jednakowych członów połączonych przegubowo. Rozważono różny charakter zarówno elementów, jak i połączeń oraz zaprezentowano równania ruchu. W konsekwencji istnieje kilka możliwości: model rozciągliwy lub nierozciągliwy, których przeguby są idealne, sprężyste, dyssypatywne lub sprężysto-dyssypatywne. Niemniej jednak pokazano zwięzły, uogólniony model matematyczny, właściwy dla każdego z wariantów.
6
Content available remote Discrete model of a rope with scleronomic and rheonomic constraints
Fritzkowski P., Kamiński H.
Vibrations in Physical Systems
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2008
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Vol. 23
121--126
EN
A preliminary discrete model of a rope with scleronomic and rheonomic constraints is considered. Numerical experiments are performed and advantages of the applied algorithm are discussed in terms of total energy of the system. In case of the nonconservative model the work-energy relation is used to assess the computation efficiency. The next directions of the model development are outlined.
7
Content available remote Discrete model of a rope with members of a changeable length
Fritzkowski P., Kamiński H.
Vibrations in Physical Systems
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2008
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Vol. 23
127--132
EN
A discrete model of a rope with elements of a changeable length is considered. Scleronomic and rheonomic constraints are given to the system. Dynamic equations of motion are formulated and their complexity is presented from the computational point of view. Numerical experiments are performed and the obtained results are discussed in terms of the total energy of the system.
8
Content available remote Heat compensation of thermal deformations in the example of model trunk coordinate machine-tool
Piasek P., Kamiński H.
Vibrations in Physical Systems
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2004
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Vol. 21
299--302
9
Mieszadła pionowe w technologii oczyszczania ścieków
Kamiński H.
Ekotechnika
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2003
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nr 2
22-23
10
Mieszadła pionowe w praktyce
Kamiński H.
Ekotechnika
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2003
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nr 4
24-24
11
Content available remote Zastosowanie zagadnień odwrotnych przewodnictwa ciepła w odlewnictwie
Ignaszak Z., Kamiński H., Sypniewska-Kamińska G.
Archiwum Technologii Maszyn i Automatyzacji
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2001
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Vol. 21, Nr 1
57-67
PL
Dokonano klasyfikacji i analizy metod rozwiązywania zagadnień odwrotnych mających zastosowanie w modelowaniu zjawisk przewodzenia ciepła w procesach odlewniczych. Wskazano głównie na ich wykorzystanie do wyznaczania termofizycznych współczynników materiałowych.
EN
The classification and analyse of inverse problem methods applied in the modelling of heat transfer phenomena in foundry process are made. It was indicated that its principal application is the determination of material heat transfer coefficients.
12
Content available remote Zagadnienia odwrotne przewodzenia ciepła w zastosowaniu do wyznaczania charakterystyk materiałów
Ignaszak Z., Kamiński H., Sypniewska-Kamińska G.
Archiwum Odlewnictwa
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2001
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R. 1, nr 2
144--154
PL
W artykule przedstawiono przykłady praktycznych sposobów rozwiązywania zagadnień odwrotnych znajdujące zastosowanie do wyznaczania cieplnych charakterystyk materiałów. Podano założenia, sformułowania oraz przeprowadzono analizę iteracyjnych i bezpośrednich metod rozwiązywania tych zagadnień. Wskazano na potrzebę rozwoju tych metod w powiązaniu z metodyką pieczołowicie przeprowadzonego eksperymentu.
EN
In the paper the examples of practical solutions of inverse problem methods applied to thermal material data determination are presented. The assumptions and rules and also analyses of iterative and direct methods are shown. It is indicated that the development of those methods, connected with careful experiment methodology, are needed.
13
Content available remote Równania całkowe Fredholma w przybliżonej metodzie rozwiązywania dynamicznych zagadnień w ośrodkach lepkosprężystych
Kamiński H., Sypniewska-Kamińska G.
Vibrations in Physical Systems
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2000
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Vol. 19
152--153
14
Thermodynamical modelling of behavior of elasto-viscoelastic layered structure
Maruszewski B. T., Kamiński H., Starosta R.
Applied Mechanics and Engineering
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1999
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Vol. 4, no 2
237-253
EN
The thermodynamical model, derivation of the field equations, proper boundary conditions, analytical and numerical solutions to an elasto-viscoelasto-elastic problem in a layered structure have been presented. Three different kinds of loading have been applied to the structure. A space-time analysis of displacements in each layer has been done.
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