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vol. 50, no. 4 (2002)
vol. 51, no. 1 (2003)
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vol. 51, no. 2-3 (2003)

Contents of issue 1, vol. 51

  1. A. Pielorz: The investigation of the influence of a local elastic nonlinearity on vibrations of plane truss members
  2. J. Madej: Influence of damage on variations of material thermal properties
  3. M. Królak, K. Kowal-Michalska, J. Świniarski: Optimisation regarding local stability and strength of long multilayered plates subjected to compression
  4. W. Dornowski: Numerical simulation of finite deformations of a dynamically loaded elasto-viscoplastic circular membrane
  5. U. Andreaus, P. Casini, and F. Vestroni: Frequency reduction in elastic beams due to a stable crack: numerical results compared with measured test data

A. Pielorz: The investigation of the influence of a local elastic nonlinearity on vibrations of plane truss members
The paper concerns theoretical investigations of plane trusses subject to longitudinal deformations, using nonlinear discrete-continuous models. An external excitation is applied to a rigid body located in a truss joint. In this joint a visco-elastic discrete element with a spring having a nonlinear symmetric stiffness is also located. It is assumed that the spring characteristic is of a soft type. Four nonlinear functions describing this characteristic are proposed. In the considerations the wave method is applied similarly to the case of a hard characteristic in [1]. The numerical analysis focus on the investigation of the effect of the local nonlinearity with a soft characteristic for two examples of plane trusses.

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J. Madej: Influence of damage on variations of material thermal properties
The aim of this paper is presentation of an attempt of identification of the changes of thermal properties of the material in correlation with changes of its structure during the damage process. The review of the most frequently used methods of damage detection in constructional materials has been enclosed. In comparison to these approaches, a new method is presented - namely the method of assessment of the level/stage of damage based upon changes/fluctuations of heat transmission property of the material, which occur in the damage cumulation regions. In the considerations, the continuum mechanics of damage was assumed. The assumption is supported by numerical calculations, which are in full agreement with experimental investigations made by means of thermo-vision techniques. Experiments performed and suitable numerical simulation confirms the essential connection between the state of damage and thermal transmission properties of the investigated materials.

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M. Królak, K. Kowal-Michalska, J. Świniarski: Optimisation regarding local stability and strength of long multilayered plates subjected to compression
In this paper the method of optimal selection of orthotropic layers thickness is presented. The considerations concern long rectangular plates subjected to uniform compression in the direction of longer edges. Such plates (or cylindrical panels) of increased local buckling resistance could be applied as components of thin-walled columns of closed cross-sections.

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W. Dornowski: Numerical simulation of finite deformations of a dynamically loaded elasto-viscoplastic circular membrane
The present paper deals with theoretical modeling and numerical simulation of a thin circular plate subjected to impulsive loading. To this end, the convective description is applied. The kinematical hypothesis used for theoretical description of the transient response includes membrane deformations only. This assumption is valid in the range of large deformations. The dynamical response of the material is described by Perzyna's elasto-viscoplastic constitutive relations. The theory is completed by an algorithm of the explicit finite difference method. With respect to the conditional stability of that method, the stability criterion is given. Basing on experimental data, an identification of material parameters is carried out. Some comparisons with the corresponding theoretical and experimental results are presented. Satisfactory agreement of the results has been found. Finally, an example of the plastic strain localization in a membrane is presented.

Contents Contents


U. Andreaus, P. Casini, and F. Vestroni: Frequency reduction in elastic beams due to a stable crack: numerical results compared with measured test data
The presence of a crack could not only cause a local variation in the stiffness, but it could affect the mechanical behaviour of the entire structure to a considerable extent. The frequencies of natural vibrations, amplitudes of forced vibrations and areas of dynamic stability change due to the existence of such cracks. The vibration characteristics of cracked structures can be useful for non-destructive testing. In particular, the natural frequencies and mode shapes of cracked beams can provide insight into the extent of damage. The beam has been schematized as a 2-D continuous medium and discretized by means of quadrilateral finite elements. The lowest three natural frequencies (and the associated mode shapes) of the cracked cantilever beam, were obtained via both the modal and spectral analyses, and were compared with experimental data from literature in order to assess the reliability of different models of crack state, namely open crack and contact crack. Both the experimental and numerical results reveal the significant influence of the opening and closing conditions of the crack on the frequency reduction; namely this reduction decreases as more realistic contact phenomena are considered at crack interfaces.

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