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    Wyświetlanie 1-9 z 9
    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:
    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:
    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 1-9 z 9

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