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3 Vibrations in Physical Systems

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A new tool for topological optimization of a rotor for vertical axis wind turbines

100%

Jakubowski M. , Fritzkowski P.

tom Vol. 27

143--150

A computer program for topological optimization of a rotor for vertical axis wind turbines of various type is presented. The tool is based mainly on two external modules: the GMSH mesh generator and the OpenFOAM CFD toolbox. Interpolation of rotor blades geometry and computational model of the airflow through a turbine are briefly discussed. Moreover, a simple optimization algorithm is described. Exemplary results for a H-type rotor are presented. Finally, potential directions for the software development are indicated.

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.