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Journal of Theoretical and Applied Mechanics
2018 Vol. 56 nr 3 793--802
EN The article presents the steps of modeling of the dynamics of a levitating cart of an unmanned aerial vehicle (UAV) magnetic catapult. The presented in the article innovative catapult is based on the Meissner effect occurring between high-temperature superconductors (HTS) and a magnetic field source. [...]
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Mechanics and Mechanical Engineering
EN A method for checking the correctness of numerical solutions to equations of motion for conservative and non-conservative mechanical systems expressed in terms of generalised coordinates has been presented. The suggested method consists in checking the energy level in a system under consideration. A[...]
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Journal of Theoretical and Applied Mechanics
2013 Vol. 51 nr 3 511--522
EN The work shows computational results of the effect of a simplified mathematical model of the flight dynamics of a spin-stabilized projectile on the accuracy and speed of calculation parameters for the projectile trajectory (in the entire range of operating quadrant elevation of the barrel and possib[...]
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Acta Geophysica Polonica
EN A uniform continuum with rotation motions of spin and twist type is presented; in this approach we supplement the ideal elasticity constitutive law, the strain-stress relation, by the rotation-asymmetric stress relation. In such a way, we can evade an influence of the Hook law, which, when used as t[...]
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Journal of Theoretical and Applied Mechanics
2016 Vol. 54 nr 4 1183--1195
EN The article compares the results of trajectory computation for a 35 mm projectile using two forms (explicit and implicit) of the modified point-mass trajectory model. All necessary ammunition parameters (aerodynamic coefficients, dimensions, mass etc.) and initial conditions for differential equatio[...]
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Acta Geophysica Polonica
EN The Kröner approach to continua with a distribution of self-field sources is applied to a wide class of deviations from the classical ideal elasticity; the same approach is applied to the theory of continua with asymmetric fields. The corresponding equations of motion are derived. Such an approach r[...]
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Applied Mechanics and Engineering
1999 Vol. 4, no 3 407-442
EN This paper deals with the modeling of flows of a Newtonian liquid dispersed with bubbles. We provide an averaging procedure that combines and gainfully exploits area, volume and ensemble averaging methods, and arrives at the governing equations for bubbly liquids. Expressions are suggested for the i[...]
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Acta Geophysica Polonica
EN Consistent theory is presented of continuum with defect distribution: dislocation and disclination densities and the densities of rotation nuclei of two kinds. Special attention is paid to rotation and twist motions, and the two approaches to the definition of the twist-bend tensor are combined. The[...]
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Bulletin of the Polish Academy of Sciences. Technical Sciences
2014 Vol. 62, nr 1 181--196
EN A theory of one-dimensional physical and mathematical modelling of the composite (steel-concrete) bridge/track structure/highspeed train system is developed including viscoelastic suspensions of rail-vehicles with two two-axle bogies each, non-linear Hertz contact stiffness and one-sided contact bet[...]
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Systems Science
EN A symplectic and time-reversible molecular dynamics algorithm is presented for rigid molecules in the quaternion representation. The algorithm is developed on the basis of the Trotter factorisation scheme using a Hamiltonian formalism The structure is similar to that of the velocity Verlet algorithm[...]
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Machine Dynamics Problems
EN In the presented paper, the problem of controlling a one-wheel vehicle is investigated. In connection with this problem, a hybrid method of both passive and active methods is applied. By means of the motion of an elliptic pendulum (passive controls) and the couple of forces of a servomotor (active c[...]
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Machine Dynamics Problems
EN Structure of hand operated hydraulic hammer was discussed in the paper. There was proposed a dynamic model of system, which describes the motion of ram and housing of hammer. There were conducted simulations based on composed equations of motion. Results of experimental examinations concerning behav[...]
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Biuletyn Wojskowej Akademii Technicznej
PL W pracy przedstawiono możliwości wykorzystania pakietu oprogramowania Mathematica firmy Wolfram Research. Na przykładzie modelu wahadła pokazano, jak przy pomocy Mathematici rozwiązywać różniczkowe równania ruchu i jakie są możliwości wizualizacji otrzymywanych wyników.
EN The article presents ways of using Wolfram Research Company's software package Mathematica. The example of a pendulum model shows how Mathematica programe helps with solving differential equations of motion and the possibilities of visual presentation of the received results.
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Biuletyn Wojskowej Akademii Technicznej
PL W pracy przedstawiono sposób konstruowania modelu matematycznego dynamiki lotu pocisków stabilizowanych obrotowo, w którym pocisk traktowany jest jako osiowosymetryczna bryła sztywna o sześciu stopniach swobody. Zastosowano nazewnictwo i oznaczenia zgodne ze Stanagiem 4355 ed.4 [7]. Wektorowa postać[...]
EN In the paper, the equations of motion of a spin-stabilized, dynamically stable, conventional artillery projectile, possessing at least trigonal symmetry were introduced. The vector six degrees of freedom (6-DOF) differential equations of motion are an updated edition of those published at the BRL in[...]
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Przegląd Elektrotechniczny
PL W literaturze występują różne postacie równań opisujących część elektryczną. Dla sprawdzenia postaci równań ruchu wykonano jednofazowy silnik reluktancyjny. Przeprowadzono identyfikację parametrów tego silnika w funkcji kąta obrotu wirnika zasilając uzwojenia napięciem przemiennym 50Hz. Na osi wirni[...]
EN In the literature there are different forms of equations describing the electrical component. The authors performed single-phase reluctance motor to test the motion equations. The identification of the motor parameters as a function of the rotation angle the rotor. Was carried out for 50 Hz alternat[...]
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Bulletin of the Polish Academy of Sciences. Technical Sciences
EN Various models of a projectile in a resisting medium are used. Some are very simple, like the “point mass trajectory model”, others, like the “rigid body trajectory model”, are complex and hard to use, especially in Fire Control Systems due to the fact of numeric complexity and an excess of less imp[...]
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Problemy Mechatroniki : uzbrojenie, lotnictwo, inżynieria bezpieczeństwa
PL W pracy zaprezentowano modelowanie dynamiki pocisku rakietowego, stabilizowanego przy użyciu giroskopu, samonaprowadzającego się na manewrujący cel naziemny. Model matematyczny opracowany został przy zastosowaniu równań Boltzmanna–Hamela dla układów mechanicznych o więzach nieholonomicznych. Pokazan[...]
EN The paper presents the modelling of the dynamics of a self-guided missile steered using a gyroscope. In such kinds of missiles, attacking the targets detected by them, the main element is a self-guiding head, which is operated by a steered gyroscope. A mathematical model was precluded using the Bolt[...]
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Mechanics and Mechanical Engineering
EN In this paper, recursive dynamic formulation for the dynamic simulation of multibody systems are presented. The method uses the concepts of linear and angular momentums to generate the rigid body equations of motion in terms of the Cartesian coordinates of a dynamically equivalent constrained system[...]
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