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vol. 56, no. 2 (2008)
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vol. 56, no. 4 (2008)

Contents of issue 3, vol. 56

  1. N.M. Auciello: Vibrations of Timoshenko beams on two-parameter elastic soil
  2. D. Jasińska, M. Janus-Michalska: Material design of anisotropic elastic cellular bodies with respect to contact problem
  3. G. Socha: Changes of the yield condition due to accumulation of damage of metal alloys
  4. J. Konieczny: Modelling of the electrohydraulic full active vehicle suspension
  5. W. Burzyński: Theoretical foundations of the hypotheses of material effort

N.M. Auciello: Vibrations of Timoshenko beams on two-parameter elastic soil
In this paper the influence of the two-parameter elastic soil on the dynamic behaviour of a beam with variable cross-section is examined, in the presence of conservative axial loads. The beams are assumed to follow the well-known Timoshenko hypotheses, in order to take into account both the rotary inertia and shear deformation effect. The Rayleigh-Ritz approach is used and Boundary Characteristic Orthogonal Polynomials are chosen as trial functions; (BCOPs method [2]). The theory is concisely presented in a matrix form, so that the contribution of the rotary inertia and of the soil can be easily recognized. Various examples and comparisons are illustrated, in order to emphasize the influence of the soil properties and of the beam taper ratio. Finally, the results are also compared with the results given by other authors, using exact and approximate approaches.

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D. Jasińska, M. Janus-Michalska: Material design of anisotropic elastic cellular bodies with respect to contact problem
Two-dimensional contact problem formulated for anisotropic, elastic bodies is considered. As an example of anisotropic medium, the cellular material is taken. The idea of two-scale modeling is adopted for formulation of an equivalent continuum, on the basis of which elastic properties can be obtained [2, 3]. Typical cellular microstructures with various types of symmetries are considered. Special attention is paid to cell structures giving negative Poisson's ratio in some directions (re-entrant cells). Application of the energy-based criterion for equivalent continuum gives macroscopic yield condition [2, 5]. Condition for the energy coefficient defined as a sum of weighted energies stored in elastic eigenstates ensures that the material works in elastic state. Unilateral frictional contact problem is analyzed using FEM. Calculations are performed for rough contact of square block subjected to normal load. Numerical solutions show differences in deformation type and contact stress distributions for different types of microstructures of the analyzed medium. The study enables the optimal choice of material structure topology, which ensures the reduction of peak contact pressure and friction stress, and applicability of anisotropic material to the given problem.

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G. Socha: Changes of the yield condition due to accumulation of damage of metal alloys
The results of the experimental investigations of fatigue damage accumulation and redistribution of residual stresses are reported in this paper. Local measurements of the inelastic response under constant stress amplitude were used to observe two phenomena for selected alloys. It was found that fatigue damage accumulation and redistribution of residual stress affect the yield condition for the investigated materials. Yield condition with damage parameter and the parameter representing residual stress state are proposed. The damage parameter is calculated, basing on the definition given in the author's previous paper. It was also found that the yield condition and damage parameters are different for dynamic (cyclic loading) and for static (for unloaded material) conditions. Physical interpretation for the observed experimental results is given in this paper. Fatigue damage accumulation is divided into three phases: cyclic stabilisation, local increase of crystal defects density, formation and propagation of the crack. Local methods of strain measurements, together with dynamic measurements of damage parameter, were found to be crucial for proper observation of fatigue damage accumulation.

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J. Konieczny: Modelling of the electrohydraulic full active vehicle suspension
The study investigates various models of vehicle suspensions. A quarter-vehicle full active suspension is chosen for further analysis. A mathematical model, governed by nonlinear differential equations, is proposed that takes into account dynamic properties of an electrohydraulic actuator. The mathematical model being implemented, it was expressed in terms of the state variables. In part two, the physical model was implemented and parametric identification procedure was applied. Phenomenological model simulation data are compared with results of experimental testing of a full, active vehicle suspension. The final section is focused on static and dynamic properties of an open-loop system (without a controller) determined on the basis of obtained models.

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W. Burzyński: Theoretical foundations of the hypotheses of material effort
Translated from the original paper in Polish: ''Teoretyczne podstawy hipotez wytężenia'' by Anna Stręk; scientific editor Ryszard B. Pęcherski

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