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Bulletin of the Polish Academy of Sciences. Technical Sciences
EN We study the kinematics of the trident snake robot equipped with either active joints and passive wheels or passive joints and active wheels. A control system representation of the kinematics is derived, and control singularities examined. Two motion planning problems are addressed, corresponding to[...]
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Control and Cybernetics
EN For k-parameter families of polydynamical systems on a 1-dimensional manifold, we classify the generic singularities of the stationary domain, when k ≤ 3.
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Biuletyn Wojskowej Akademii Technicznej
PL W pracy podano przykłady rowiązań pewnego równania cząstkowego z osobliwościami na {x ² = y ³} ⊂ R³.
EN Examples of solutions to a partial differential equation with singularities exactly on cusp {x ² = y ³} ⊂ R³ are given.
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Demonstratio Mathematica
EN We say that a surface in Minkowski 3-space is a lightlike developable if all pseudo-normal vectors of the regular part of the surface are lightlike. The tangent surface of a lightlike curve is one of the lightlike developables. We give a generic classification of such surfaces. The all arguments in [...]
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Journal of Theoretical and Applied Mechanics
2007 Vol. 45 nr 4 833-852
PL W pracy wykazano, że metoda WAG (ang. Windo w Average Gradient) przewidziana do wyszukiwania osobliwości w turbulencji jest w przybliżeniu równoważna transformacji Hilberta falki typu "meksykański kapelusz". Na podstawie badań teoretycznych i doświadczalnych dotyczących fluktuacji naprężeń na ścianc[...]
EN It is proved that the Window Average Gradient (WAG) scheme designed to detect singularities in the turbulence is approximately equivalent to the Rilbert transform of the "Mexican Rat" wavelet. Several identities are derived between these schemes and their validity are theoretically and experimentall[...]
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International Journal of Applied Mechanics and Engineering
EN The paper presents elements of the topology, geometry and the kinematic analysis of a translational parallel mechanism with three degrees of freedom. In such mechanisms the selection of a proper structure and geometry ensures that the driven link maintains a fixed orientation relative to the base. T[...]
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Acta Mechanica et Automatica
2015 Vol. 9, no. 3 151--154
EN Parallel manipulator belongs to group of mechanisms with closed kinematic chains. This feature involves both advantages and disadvantages. The study examined the issue of accuracy of a planar system with three degrees of freedom, with revolute pairs, showing the effect of errors of the drives settin[...]
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International Journal of Applied Mechanics and Engineering
2015 Vol. 20, no. 4 939--951
EN Free vibration analysis of homogeneous and isotropic annular thin plates by using Green’s functions is considered. The formula of the influence function for uniform thin circular and annular plates is presented in closed-form. The limited independent solutions of differential Euler equation were exp[...]
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Demonstratio Mathematica
2015 Vol. 48, nr 2 118--146
EN We study singularities of smooth mappings (…) of R2n into symplectic space (…) by their isotropic liftings to the corresponding symplectic tangent bundle (…). Using the notion of local solvability of lifting as a generalized Hamiltonian system, we introduce new symplectic invariants and explain thei[...]
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Mathematica Applicanda
2015 Vol. 43, No. 2 291--303
PL Niniejsza praca jest poświęcona pamięci naszego przyjaciela Witolda Kosińskego. Chcielibyśmy przedstawić jego najważniejsze osiągnięcia w dziedzinie propagacji fal termicznych, termodynamiki i teorii hiperbolicznych układów różniczkowych. Zakres badań Kosińskiego był bardzo bogaty. Obejmował wiele d[...]
EN This paper is dedicated to Witold Kosiński. Our contribution to this special issue will concentrate on the properties of thermal waves, one of many scientific interests of our friend and collaborator, and this article is dedicated to his memory. Working together with Witold was always an insightful [...]
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Demonstratio Mathematica
2015 Vol. 48, nr 2 322--347
EN We use the method of algebraic restrictions to classify symplectic U7, ;U8 and U9 singularities. We use discrete symplectic invariants to distinguish symplectic singularities of the curves. We also give the geometric description of symplectic classes.
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Prace Naukowe Politechniki Warszawskiej. Elektronika
2012 z. 184 3--181
PL Monografia jest poświęcona metodom rozwiązywania zadań optymalizacji nieliniowej bez ograniczeń korzystających z aproksymacji kwadratowych minimalizowanej funkcji celu oraz ich zastosowaniom. W książce przedstawiono aktualny stan wiedzy na temat metod wykorzystujących modele kwadratowe minimalizowan[...]
EN The book is devoted to nonlinear optimization methods for solving unconstrained problems which make use of quadratic approximation of the goal function and their application. The state of the knowledge on such methods, which realize the idea of the search directions generation and directional minimi[...]
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