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vol. 55, no. 4 (2007)
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vol. 56, no. 1 (2008)

Contents of issue 4, vol. 55

  1. Sz. Imiełowski, R. Bogacz: Stability constraints in optimization of cracked columns subjected to compressive follower load
  2. P. Koutmos, G. Giannakis, P. Marazioti: A global oxidation scheme for propane-air combustion suitable for use into complex reacting flow computations
  3. K. Cabańska-Płaczkiewicz: Dynamics of the complex system with elastic and visco-elastic inertial interlayers
  4. E. Włodarczyk: Normal penetration of the rigid penetrator into elastic-plastic half-space with viscosity

Sz. Imiełowski, R. Bogacz: Stability constraints in optimization of cracked columns subjected to compressive follower load
Maximization of the critical force of cracked columns, subjected to generalized follower force is discussed in the paper. The crack is assumed to be formed according to the opening and sliding modes and is modeled by a localized loss of stiffness. Influence of the crack stiffness and its localization on the value of the critical force is analyzed. The optimization process is based on the multimodal approach. The localization of crack with the critical force of the system equal to 137.17 EJ/L2 is found.

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P. Koutmos, G. Giannakis, P. Marazioti: A global oxidation scheme for propane-air combustion suitable for use into complex reacting flow computations
In Direct or Semi-Direct Numerical Simulations of turbulent reacting flows the exploitation of complex, realistic and detailed chemistry and transport models often results in prohibitive memory and CPU requirements when flows of practical relevance are treated.
The integrated Combustion Chemistry approach has recently been put forward as a methodology suitable for the integration of complex chemical kinetic and chemistry effects into large scale computational procedures for the calculation of complex and practical reacting flow configurations. Through this procedure, a reduced chemical kinetic scheme involving only a limited number of species and reactions is derived from a detailed chemical mechanism, so as to include major species and pollutants of interest in the main flow calculation. The chemical parameters employed in this integrated scheme i.e. rates, constants, exponents are then calibrated on the basis of a number of constraints and by comparing computations over a range of carefully selected laminar flames so as to match a number of prespecified flame properties such as adiabatic temperatures, selected target species profiles, flame speeds, extinction characteristics. The present work describes such an effort for a commonly used fuel of both the fundamental and practical importance that often is used to simulate the performance of higher hydrocarbons in practical engine simulations, i.e. propane. The proposed nine-step scheme involves nine major stable species and in addition to the basic propane oxidation model also includes NOX production and soot formation submodels.

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K. Cabańska-Płaczkiewicz: Dynamics of the complex system with elastic and visco-elastic inertial interlayers
In this paper is given the dynamic analysis of the free and forced vibration problems of a complex system with elastic and visco-elastic inertial interlayers. The analytical method of solving the free and forced vibrations problem of the system is presented in the paper [2]. The external layer of the complex system is treated as the plate made from elastic materials, coupled by visco-elastic inertial interlayers. The plate is described by the Kirchhoff-Love model. The visco-elastic, inertial interlayer possesses the characteristics of a continuous inertial Winkler foundation and has been described by the Voigt-Kelvin model. Small transverse displacements of the complex system are excited by the stationary and non-stationary dynamical loadings. The phenomenon of free and forced vibrations problems has been described using a non-homogeneous system of conjugate, partial differential equations. After separation of variables in the homogeneous system, the boundary value problem has been solved and two sequences have been obtained: the sequences of frequencies and the sequences of free vibrations modes. Then, the property of orthogonality of complex free vibrations has been presented. The free vibrations problem has been solved for some arbitrarily assumed initial conditions. The forced vibrations problem has been considered for different modes of dynamical loading [3].
The solution of the ecological safety problem and protection from exposure to dust, depend much on the equipment and techniques used in quarrying the brown coal. Thus, dynamics of loading the open cast colliery dump trucks which have a load-carrying capacity of hundreds of tons, mass of tens of tons and dimensions of tens of meters, is a very important problem. The numerical results of free and forced vibrations problems of the complex system with the elastic and visco-elastic inertial interlayer, for various parameters and different modes of dynamical loading, are given in this paper.

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E. Włodarczyk: Normal penetration of the rigid penetrator into elastic-plastic half-space with viscosity
The analytical closed-form solution of the normal penetration problem of a rigid core (penetrator) of a jacket-bullet into elastic-plastic half-space (thick target) is presented in this paper. The cohesive resistance of the target, frictional effects, and acceleration of the target material in the neghbourhood of the penetrator (virtual mass effect) is taken into consideration. On the basis of the derived closed analytical formulae, influence of these parameters on the penetration depth may be investigated. Among other things, it appears from calculations that the boundary penetration depth is intensivly reduced by the force of viscous friction.
Moreover, the mean value of the coefficient of viscous friction (μ) for a given penetrator-target system may be determined. For this purpose it is necessary to define experimentally the penetration depth hk at a given impact velocity.

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