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Modelling of a rope: two discrete approaches

100%

Kamiński H. , Fritzkowski P.

tom Vol. 25

211--216

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.

Discrete model of a rope with members of a changeable length

100%

Fritzkowski P. , Kamiński H.

2008

tom Vol. 23

127--132

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.

Dynamic analysis of collision of beam with rough obstacle

80%

Bartkowiak T. , Kamiński H. , Sypniewska-Kamińska G.

tom Vol. 25

71--76

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.

Thermodynamical modelling of behavior of elasto-viscoelastic layered structure

80%

Maruszewski B. T. , Kamiński H. , Starosta R.

tom Vol. 4, no 2

237-253

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.

Zagadnienia odwrotne przewodzenia ciepła w zastosowaniu do wyznaczania charakterystyk materiałów

80%

Ignaszak Z. , Kamiński H. , Sypniewska-Kamińska G.

tom R. 1, nr 2

144--154

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.

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.

Mieszadła pionowe w praktyce

80%

Kamiński H.

Ekotechnika

2003

tom nr 4

24-24