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Andrushchak I.Ye.,Lutsk National Technical University
Journal of Automation and Information Sciences | Year: 2014

Analysis of software implemented direct method of determination of optimal control is done and obtaining of solutions of problems of preventive medicine is shown. © 2014 by Begell House Inc.

Swic A.,Lublin University of Technology | Zubrzycki J.,Lublin University of Technology | Taranenko V.,Lutsk National Technical University
Applied Mechanics and Materials | Year: 2013

The specifics of modelling the dynamic system of turning as well as straight and plunge grinding of low rigidity shafts is presented in the paper. Methodology of developing models while machining shafts in elastic-deformable condition is shown. The specifics of processing of low rigidity elements is taken into account by introducing equations of constraint reflecting additional elastic strain in equation describing the control force effect. Systemic analysis of the developed models is performed and main hierarchical structure levels are given. © (2013) Trans Tech Publications, Switzerland.

Pasternak I.,Lutsk National Technical University | Sulym H.,Bialystok Technical University
Journal of Engineering Mathematics | Year: 2013

The mathematical models, integral equations and the corresponding numerical schemes, required for the study of the stress state of plates containing thin crooked defects are considered and explicitly written. The results obtained using the proposed line model for a circular arc inclusion are in good agreement with those obtained by the direct approach. Numerical examples are also presented for S-like and kinked inclusions. © 2011 Springer Science+Business Media B.V.

Pasternak I.,Lutsk National Technical University | Sulym H.,Bialystok Technical University
Engineering Analysis with Boundary Elements | Year: 2013

This paper presents a novel approach for obtaining boundary integral equations of 2D anisotropic magnetoelectroelasticity. This approach is based on the holomorphy theorems and the Stroh formalism and allows developing of the integral equations for the aperiodic, singly and doubly periodic problems of magnetoelectroelasticity. Obtained equations contain the unknown discontinuities of displacement, electric and magnetic potentials and also traction, electric displacement and magnetic induction that allow adopting the existing boundary element procedures for their solution. Analytical solutions for systems of collinear permeable or impermeable cracks are obtained. Numerical boundary element solutions are obtained for the singly and doubly periodic sets of permeable and impermeable cracks in the magnetoelectroelastic medium and a half-plane. Comparison with analytical solutions and other available results validate the present formulations and numerical computation. © 2012 Elsevier Ltd.

Pasternak I.,Lutsk National Technical University
Engineering Analysis with Boundary Elements | Year: 2011

This paper develops integral equations and boundary element method for determination of 2D electro-elastic state of solids containing cracks, thin voids and inclusions. It proves that stress and electric displacement field near the tip of thin inhomogeneity possesses square root singularity. Thus, for determination of electromechanical fields near thin defects new special base functions are introduced. The interpolation quadratures along with the polynomial transformations are adopted for efficient numerical evaluation of singular and hypersingular integrals. Presented numerical examples show high efficiency and accuracy of the proposed approach. © 2010 Elsevier Ltd.

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