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Abstracts of papers for
vol. 48, no. 1 (2000)
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vol. 48, no. 2 (2000)

Contents of issue 1, vol. 48

  1. L. Płoniecki, W. Trąmpczyński, W. Gierulski, J. Cendrowicz, K. Sokołowski: Computer control system for heavy machine features motion and its application for automatic generation of cutting tools trajectories according to the given criteria
  2. J. Banaszak and S.J. Kowalski: Stresses in viscoelastic sphere dried convectively
  3. A. Ciarkowski: Improved representation for the first precursor in the Lorentz medium
  4. V. Bozhydarnyk: On the problem of bending of transversally isotropic plates
  5. A. Foryś and J. Snamina: Objective functions in monocriterial and multicriterial optimizations problems against a loss of dynamic stability

L. Płoniecki, W. Trąmpczyński, W. Gierulski, J. Cendrowicz, K. Sokołowski: Computer control system for heavy machine features motion and its application for automatic generation of cutting tools trajectories according to the given criteria
The computer control system for heavy machine (loaders, excavators) fixtures motion is presented and discussed in the paper. It enables the automatic generation of cutting tool (buckets) trajectories to fulfil the assigned criteria, for example the minimum unit energy criterion or the maximum disposable force criterion. The performance of the system was investigated using the laboratory stand built in semitechnical scale and the model cohesive soil. The tool shape in the stand corresponds to the shape of the bucket of the Waryński excavator K-111.

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J. Banaszak and S.J. Kowalski: Stresses in viscoelastic sphere dried convectively
The deformations and the drying-induced stresses in a saturated porous elastic and viscoelastic sphere dried convectively are analysed. The considerations are confined to'the constant drying rate period. The solution of the problem is obtained using both the Laplace transformations and the numerical finite difference method. The drying experiment was performed on spheres made of three different clay sorts in order to validate the results obtained by numerical analysis. The results obtained are presented in graphical form.

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A. Ciarkowski: Improved representation for the first precursor in the Lorentz medium
The best methods available nowadays for modelling the propagation of very short (duration less than 100 fs), ultrawideband electromagnetic signals in physical media are the asymptotic ones. Numerical methods loose their traditional leadership due to their inability to handle rapid oscillations of the propagating signal. Therefore it is important to create accurate asymptotic models of propagation which can be used as a reference. In this paper a new description of primary precursor in a dispersive Lorentz medium is given, based on uniform asymptotic theory of evaluation of integrals and a new approximate solution to the distant saddle point equation. The new representation of the signal in the medium is illustrated graphically and compared with the Oughstun-Sherman representation.

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V. Bozhydarnyk: On the problem of bending of transversally isotropic plates
The possibility of analysis of transversally isotropic plates of medium thickness by means of representing the displacements in the form of finite series along the lateral coordinate is examined. Differential equations of the twelfth order are derived. Conditions on the plate boundaries are determined. Examples of numerical calculations are presented. The article is a sequel to papers [11-13].

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A. Foryś and J. Snamina: Objective functions in monocriterial and multicriterial optimizations problems against a loss of dynamic stability
The paper concerns the specification and comparison of numerical examples of optimization of beams in the state of periodic parametric resonance with respect to different measures of the phenomena considered, i.e., with respect to different optimization criteria - some objective functions in monocriterion and multicriterial optimization. A formulation of monocriterion and multicriterial optimization problems for mechanical elements, subjected to a parametrically exciting force periodic in time, is given. In multicriterial optimization the scalar objective functions characterizing the parametric resonance are introduced. The paper deals with the problems of finding the control function - function of the shape (the area of cross-section of the beam) which maximizes or minimizes the objective functions under the constraint of constant volume. In some cases the optimization problems under conditions of parametric resonance reduce to the optimization problems with respect to natural frequency. The examples of parametric optimization against loss of stability are solved and analysed.

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