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Wyświetlanie 1-15 z 19
Tytuł:
Mathematical model of levitating cart of magnetic UAV catapult
Autorzy:
Sibilska-Mroziewicz, A.
Ładyżyńska-Kozdraś, E.
Powiązania:
https://bibliotekanauki.pl/articles/281639.pdf
Data publikacji:
2018
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
magnetic catapult
equations of motion
Meissner effect
Opis:
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. The catapult suspension system consists of two elements: fixed to the ground base with magnetic rails and a moving cart. Generating magnetic field rails are made of neodymium magnets. Levitation of the launcher cart is caused by sixteen superconductors YBCO, placed in the cart frame supports. Described in the article model contains the system of Cartesian reference frames, kinematic constrains, equations of motion and description of forces acting on the cart as well as exemplary numerical simulation results.
Źródło:
Journal of Theoretical and Applied Mechanics; 2018, 56, 3; 793-802
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Comparison of explicit and implicit forms of the modified point mass trajectory model
Autorzy:
Baranowski, L.
Gadomski, B.
Szymonik, J.
Majewski, P.
Powiązania:
https://bibliotekanauki.pl/articles/280031.pdf
Data publikacji:
2016
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
exterior ballistics
projectile motion
MPMTM
equations of motion
projectile trajectory
Opis:
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 equations are provided. The results of numerical integration (using non-stiff fourth-order Runge-Kutta solver) are presented in form of projectile trajectories projections onto vertical and horizontal planes. Data tables comparing both models in terms of projectile position and velocity in chosen time steps are also attached.
Źródło:
Journal of Theoretical and Applied Mechanics; 2016, 54, 4; 1183-1195
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stress equations of motion of Ignaczak type for the second axisymmetric problem of micropolar elastodynamics
Autorzy:
Dyszlewicz, Janusz
Powiązania:
https://bibliotekanauki.pl/articles/1339178.pdf
Data publikacji:
1997
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
stress equations of motion problem (SEMP)
micropolar elasticity theory
Opis:
A second axially-symmetric initial-boundary value problem of linear homogeneous isotropic micropolar elastodynamics in which the displacement and rotation take the forms $\underline{u}=(0,u_θ,0)$, $\underline{φ}=(φ_r,0,φ_z)$ ((r,θ,z) are cylindrical coordinates; cf. [17]) is formulated in a pure stress language similar to that of [12]. In particular, it is shown how $\underline{u}$ and $\underline{φ}$ can be recovered from a solution of the associated pure stress initial-boundary value problem, and how a singular solution corresponding to harmonic vibrations of a concentrated body couple in an infinite space can be obtained from the solution of a pure stress problem.
Źródło:
Applicationes Mathematicae; 1996-1997, 24, 3; 251-265
1233-7234
Pojawia się w:
Applicationes Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Equations of motion of a spin-stabilized projectile for flight stability testing
Rownania ruchu pocisku stabilizowanego obrotowo na potrzeby badania stabilności lotu
Autorzy:
Baranowski, L.
Powiązania:
https://bibliotekanauki.pl/articles/280657.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
spin-stabilized projectile
flight stability
exterior ballistics
equations of motion of projectile
Opis:
The paper presents a mathematical model of motion of a balanced spin-stabilized projectile considered as a rigid body with 6 degrees of freedom. The modeling uses coordinate systems conforming to Polish and International Standard ISO 1151. The design of kinematic equations describing motion around the center of mass uses the system of Tait-Bryan angles or Euler parameters. The total angle of attack and aerodynamic roll angle express aerodynamic forces and moments.
W pracy przedstawiono model matematyczny ruchu wyważonego pocisku stabilizowanego obrotowo traktowanego jako bryła sztywna o sześciu stopniach swobody. W modelowaniu zastosowano układy odniesienia zgodne z Polską i Międzynarodową Normą ISO 1151. W konstruowaniu kinematycznych równań ruchu dookoła środka masy zaproponowano wykorzystanie układu kątów Taita-Bryana lub parametrów Eulera. Siły i momenty aerodynamiczne wyrażono poprzez kąt nutacji oraz kąt przechylenia aerodynamicznego.
Źródło:
Journal of Theoretical and Applied Mechanics; 2013, 51, 1; 235-246
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effect of the mathematical model and integration step on the accuracy of the results of computation of artillery projectile flight parameters
Autorzy:
Baranowski, L.
Powiązania:
https://bibliotekanauki.pl/articles/201368.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
exterior ballistics
fight dynamics
equations of motion of the projectile
mathematical model
Opis:
In the paper the three different mathematical models of motion of a spin-stabilized, conventional artillery projectile, possessing at least trigonal symmetry, have been introduced. The vector six-degrees-of-freedom (6-DOF) differential equations of motion are an updated edition of those published by Lieske and McCoy and are consistent with STANAG 4355 (Ed. 3). The mathematical models have been used to developing software for simulating the flight of the Denel 155mm Assegai M2000 series artillery projectile and to conduct comprehensive research of the influence of the applied model and integration step on the accuracy and time of computation of projectile trajectory.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 2; 475-484
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Feasibility analysis of the modified point mass trajectory model for the need of ground artillery fire control systems
Autorzy:
Baranowski, L.
Powiązania:
https://bibliotekanauki.pl/articles/281770.pdf
Data publikacji:
2013
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
exterior ballistics
equations of motion
spin-stabilized projectile
fire control systems
MPMTM
Opis:
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 possible perturbations of the conditions firing) to determine an appropriate mathematical model for the automated fire control systems of ground artillery.
Źródło:
Journal of Theoretical and Applied Mechanics; 2013, 51, 3; 511-522
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Engineering example of the constraint forces in non-holonomic mechanical: forklift-truck robot motion. Part I
Autorzy:
Haddout, S.
Guennoun, M. A.
Chen, Z.
Powiązania:
https://bibliotekanauki.pl/articles/230034.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
forklift-truck robot
Lagrangian systems
nonholonomic constraints
reduced equations of motion
numerical solution
Opis:
In the presented paper, a problem of nonholonomic constrained mechanical systems is treated. New methods in nonholonomic mechanics are applied to a problem of a Forklift-truck robot motion. This method of the geometrical theory of general nonholonomic constrained systems on fibered manifolds and their jet prolongations, based on so-called Chetaev-type constraint forces. The relevance of this theory for general types of nonholonomic constraints, not only linear or affine ones, was then verified on appropriate models. On the other hand, the equations of motion of a Forklift-truck robot are highly nonlinear and rolling without slipping condition can only be expressed by nonholonomic constraint equations. In this paper, the geometrical theory is applied to the above mentioned mechanical problem. The results of numerical solutions of constrained equations of motion, derived within the theory, are presented.
Źródło:
Archives of Control Sciences; 2018, 28, 3; 483-506
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Explicit form of the “modified point mass trajectory model” for the use in Fire Control Systems
Autorzy:
Baranowski, L.
Majewski, P.
Szymonik, J.
Powiązania:
https://bibliotekanauki.pl/articles/200333.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
ballistics
equations of motion
projectile path
modified point mass trajectory model
MPMTM
projectile deflection
Opis:
The main objective of this article is to obtain equations of motion of the spin–stabilized projectile in the presence of non–constant wind. Introducing models allowing utilization of inhomogeneous wind is dictated by new possibilities created by the use of e.g. lidars in the Fire Control Systems (FCS). Constant feed of wind data can replace meteorological messages, increasing the FCS effectiveness. Article contains results of projectile flight simulations which indicate the positive effect that the derived explicit form of the model has when considering software development for modern Fire Control Systems.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2020, 68, 5; 1167-1175
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Experimental studies and modeling of four-wheeled mobile robot motion taking into account wheel slippage
Autorzy:
Jaskot, Anna
Posiadała, Bogdan
Powiązania:
https://bibliotekanauki.pl/articles/2086885.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
motion dynamics
wheel slippage
wheeled mobile platform
equations of motion
dynamika ruchu
poślizg kół
kołowa platforma mobilna
równania ruchu
Opis:
In the article the results of simulation and experimental studies of the movement of a four-wheeled mobile platform, taking into account wheel slip have been presented. The simulation results have been based on the dynamics of the four-wheel mobile platform. The dynamic model of the system motion takes into account the relationship between the active and passive forces accompanying the platform motion, especially during wheel slip. The formulated initial problem describing the motion of the system has been solved by the Runge-Kutta method of the fourth order. The proposed computational model including the platform dynamics model has been verified in experimental studies using the LEO Rover robot. The motion parameters obtained on the basis of the adopted computational model in the form of trajectories, velocities and accelerations have been compared with the results of experimental tests, and the results of this comparison have been included in the paper. The proposed computational model can be useful in various situations, e.g., real-time control, where models with a high degree of complexity are useless due to the computation time. The simulation results obtained on the basis of the proposed model are sufficiently compatible with the results of experimental tests of motion parameters obtained for the selected type of mobile robot.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2021, 69, 6; e139205, 1--7
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Vertical vibrations of composite bridge/track structure/high-speed train systems. Part 2: Physical and mathematical modelling
Autorzy:
Podworna, M.
Klasztorny, M.
Powiązania:
https://bibliotekanauki.pl/articles/200194.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
composite steel-concrete bridge
ballasted track structure
high-speed train
random track irregularities
FE modelling
equations of motion
Opis:
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 between wheel sets and rails, the viscoelastic and inertia features of the bridge, the viscoelastic track structure on and beyond the bridge, approach slabs, and random vertical track irregularities. Compared to the state-of-the-art, the physical model developed in the study accurately reproduces dynamic processes in the considered system. Division of the system into the natural subsystems, a method of formulation of the equations of motion partly in implicit form and the finite element method are applied. Vibrations in the vertical plane of symmetry are described by more than nine matrix equations of motion with constant coefficients. Couplings and non-linearity are hidden in the generalized load vectors. The equations of motion are integrated using the implicit Newmark average acceleration method with linear extrapolation of the interactions between the subsystems.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 1; 181-196
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Explicit “ballistic M-model”: a refinement of the implicit “modified point mass trajectory model”
Autorzy:
Baranowski, L.
Gadomski, B.
Majewski, P.
Szymonik, J.
Powiązania:
https://bibliotekanauki.pl/articles/202089.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
ballistics
equations of motion
projectile path
modified point mass trajectory model
MPMTM
projectile deflection
balistyka
równania ruchu
lot pocisku
Opis:
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 important corrections. There exist intermediate ones - e.g. the “modified point mass trajectory model”, which unfortunately is given by an implicitly defined differential equation as Sec. 1 discusses. The main objective of this paper is to present a way to reformulate the model obtaining an easy to solve explicit system having a reasonable complexity yet not being parameter-overloaded. The final form of the M-model, after being carefully derived in Sec. 2, is presented in Subsec. 2.5.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2016, 64, 1; 81-89
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Construction of the approximate stability equations of motion for an elastic cylindrical body under axial compressive load
Autorzy:
Banakh, I.
Kolinko, M.
Powiązania:
https://bibliotekanauki.pl/articles/411449.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Oddział w Lublinie PAN
Tematy:
elastic body
stress tensor
perturbation of displacement vector
stability equations of motion
standard material of the 2nd order
compresive load
Opis:
A method of constructing nonlinear motion stability equations for isotropic elastic bodies is developed for cylindrical bodies of standard material of the 2nd order subjected to the action of “dead” axial compressive forces. The perturbation of the displacement vector is given by its approximate decomposition with respect to the base of tensor functions of the 1st, 2nd and 3d valences. The time-dependent tensor coefficients of the decomposition satisfy the system of ordinary differential equations. Based on the obtained equations one can investigate the balance stability of cylindrical bodies under various fixing conditions.
Źródło:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes; 2014, 3, 4; 69-73
2084-5715
Pojawia się w:
ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mechanics of infinitesimal gyroscopes on helicoid-catenoid deformation family of minimal surfaces
Autorzy:
Kovalchuk, Vasyl
Gołubowska, Barbara
Mladenov, Ivaïlo M.
Powiązania:
https://bibliotekanauki.pl/articles/2128134.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
action-angle analysis
mechanics of infinitesimal gyroscopes
geodesic equations of motion
geodetic equations of motion
helicoid-catenoid deformation family of minimal surfaces
elliptic integrals
elliptic functions
analiza kąta działania
mechanika nieskończenie małych żyroskopów
równanie ruchu geodezyjne
całki eliptyczne
funkcje eliptyczne
rodzina deformacji helikoidów minimalnych powierzchni
rodzina deformacji katenoidów minimalnych powierzchni
Opis:
In this paper we explore the mechanics of infinitesimal gyroscopes (test bodies with internal degrees of freedom) moving on an arbitrary member of the helicoid-catenoid family of minimal surfaces. As the configurational spaces within this family are far from being trivial manifolds, the problem of finding the geodesic and geodetic motions presents a real challenge. We have succeeded in finding the solutions to those motions in an explicit parametric form. It is shown that in both cases the solutions can be expressed through the elliptic integrals and elliptic functions, but in the geodetic case some appropriately chosen compatibility conditions for glueing together different branches of the solution are needed. Additionally, an action-angle analysis of the corresponding Hamilton-Jacobi equations is performed for external potentials that are well-suited to the geometry of the problem under consideration. As a result, five different sets of conditions between the three action variables and the total energy of the infinitesimal gyroscopes are obtained.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2021, 69, 2; e136727, 1--10
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mechanics of infinitesimal gyroscopes on helicoid-catenoid deformation family of minimal surfaces
Autorzy:
Kovalchuk, Vasyl
Gołubowska, Barbara
Mladenov, Ivaïlo M.
Powiązania:
https://bibliotekanauki.pl/articles/2173588.pdf
Data publikacji:
2021
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
action-angle analysis
mechanics of infinitesimal gyroscopes
geodesic equations of motion
geodetic equations of motion
helicoid-catenoid deformation family of minimal surfaces
elliptic integrals
elliptic functions
analiza kąta działania
mechanika nieskończenie małych żyroskopów
równanie ruchu geodezyjne
całki eliptyczne
funkcje eliptyczne
rodzina deformacji helikoidów minimalnych powierzchni
rodzina deformacji katenoidów minimalnych powierzchni
Opis:
In this paper we explore the mechanics of infinitesimal gyroscopes (test bodies with internal degrees of freedom) moving on an arbitrary member of the helicoid-catenoid family of minimal surfaces. As the configurational spaces within this family are far from being trivial manifolds, the problem of finding the geodesic and geodetic motions presents a real challenge. We have succeeded in finding the solutions to those motions in an explicit parametric form. It is shown that in both cases the solutions can be expressed through the elliptic integrals and elliptic functions, but in the geodetic case some appropriately chosen compatibility conditions for glueing together different branches of the solution are needed. Additionally, an action-angle analysis of the corresponding Hamilton-Jacobi equations is performed for external potentials that are well-suited to the geometry of the problem under consideration. As a result, five different sets of conditions between the three action variables and the total energy of the infinitesimal gyroscopes are obtained.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2021, 69, 2; art. no. e136727
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
35 mm ammunition’s trajectory model identification based on firing tables
Autorzy:
Baranowski, L.
Gadomski, B.
Majewski, P.
Szymonik, J.
Powiązania:
https://bibliotekanauki.pl/articles/200598.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
identification
exterior ballistics
equations of projectile motion
curve fitting
drag coefficient
identyfikacja
ruch pocisku
współczynnik oporu
Opis:
The article presents a procedure designed for identification of projectile’s trajectory model through aerodynamic coefficients estimation. The identification process is based on firing tables artificially prepared (firing tables prepared using mathematical flight model for the projectile instead of trajectories recorded on field tests) with the use of modified point–mass and rigid body trajectory models. All the necessary data, including physical parameters of the projectile and its aerodynamic characteristics are provided. The detailed results of estimation of chosen aerodynamic coefficients are presented in both visual and tabular form. The main purpose of this paper is to establish the minimum number of trajectories (as characterized in firing tables), and the permissible error of initial parameters being passed to the mathematical model that would allow the correct identification of projectile’s trajectory model.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 5; 635-643
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 19

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