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Wyświetlanie 1-15 z 22
Tytuł:
Dynamics of a mass variable drum winding a heavy rope
Autorzy:
Buśkiewicz, J.
Powiązania:
https://bibliotekanauki.pl/articles/38629421.pdf
Data publikacji:
2021
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
angular momentum
two time parameters method
time-variable mass
dynamic equations
drum
Opis:
The paper focuses on a winch drum winding a heavy rope to present the variety of issues related to the dynamics of systems with rotating parts of time-varying mass. The dynamic motion equations for such systems are frequently either incorrect or derived under the assumption of mass constancy. When the mass variability is taken into account, simpler cases are discussed. The considerations on the angular momentum theorem enables formulating a new two time parameters form of the rotational motion equation for the system with time varying mass. Four cases are considered and different approaches of motion equations derivation are applied. The assumptions and solution methods of the analyzed systems as well as ambiguities and possible contradictions that may arise as a result of the trial of the problem formulation on the grounds of rigid body mechanics are discussed. The numerical simulations are presented.
Źródło:
Archives of Mechanics; 2021, 73, 5-6; 557-582
0373-2029
Pojawia się w:
Archives of Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonlinear Interaction of Modes in a Planar Flow of a Gas with Viscous and Thermal Attenuation
Autorzy:
Perelomova, Anna
Powiązania:
https://bibliotekanauki.pl/articles/177137.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
nonlinear wave theory
nonlinear acoustics
coupling dynamic equations
Burgers equation
diffusion equation
Opis:
The nonlinear interaction of wave and non-wave modes in a gas planar flow are considered. Attention is mainly paid to the case when one sound mode is dominant and excites the counter-propagating sound mode and the entropy mode. The modes are determined by links between perturbations of pressure, density, and fluid velocity. This definition follows from the linear conservation equations in the differentia form and thermodynamic equations of state. The leading order system of coupling equations for interacting modes is derived. It consists of diffusion inhomogeneous equations. The main aim of this study is to identify the principle features of the interaction and to establish individual contributions of attenuation (mechanical and thermal attenuation) in the solution to the system.
Źródło:
Archives of Acoustics; 2019, 44, 3; 551-559
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On oscillatory behaviour of third-order half-linear dynamic equations on time scales
Autorzy:
Grace, Said R.
Chhatria, Gokula Nanda
Powiązania:
https://bibliotekanauki.pl/articles/29519180.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
oscillation
asymptotic behaviour
dynamic equation
time scales
dynamic equations on time scales
comparison method
Riccati technique
Opis:
In this work, we study the oscillation and asymptotic behaviour of third-order nonlinear dynamic equations on time scales. The findings are obtained using an integral criterion as well as a comparison theorem with the oscillatory properties of a first-order dynamic equation. As a consequence, we give conditions which guarantee that all solutions to the aforementioned problem are only oscillatory, different from any other result in the literature. We propose novel oscillation criteria that improve, extend, and simplify existing ones in the literature. The results are associated with a numerical example. We point out that the results are new even for the case $ \mathbb{T} = \mathbb{R} $ or $ \mathbb{T} = \mathbb{Z} $.
Źródło:
Opuscula Mathematica; 2022, 42, 6; 849-865
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Wyprowadzanie ogólnych dynamicznych równań bonitacyjnych za pomocą uniwersalnej metody rożnic algebraicznych
Derivation of Generic Dynamic Site Equations Using Generalized Algebraic Difference Approach
Autorzy:
Cieszewski, C.J.
Zasada, M.
Powiązania:
https://bibliotekanauki.pl/articles/1026347.pdf
Data publikacji:
2003
Wydawca:
Polskie Towarzystwo Leśne
Tematy:
metoda roznic algebraicznych
bonitacja siedliska
lesnictwo
site index model
site productivity
base−age invariance
dynamic equations
Opis:
This article describes use of the Generalized Algebraic Difference Approach for derivation of generic dynamic site equations. The generic equations are useful in situations of unspecific expectations with regards to the final model form where one wants to test simultaneously in a single fitting many various models and assumptions about the modeled processes. Equations derived in this work are extremely flexible with various patterns of polymorphisms and asymptotes. Even thought in principle the generic equations have more parameters, those derived with methodology proposed here are very parsimonious.
Źródło:
Sylwan; 2003, 147, 03; 40-46
0039-7660
Pojawia się w:
Sylwan
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multiple solutions of boundary value problems on time scales for φ-laplacian operator
Autorzy:
Amster, Pablo
Kuna, Mariel Paula
Santos, Dionicio Pastor
Powiązania:
https://bibliotekanauki.pl/articles/255690.pdf
Data publikacji:
2020
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
dynamic equations on time scales
nonlinear boundary value problems
upper and lower solutions
Leray-Schauder degree
multiple solutions
Opis:
We establish the existence and multiplicity of solutions for some boundary value problems on time scales with a y-Laplacian operator. For this purpose, we employ the concept of lower and upper solutions and the Leray-Schauder degree. The results extend and improve known results for analogous problems with discrete p-Laplacian as well as those for boundary value problems on time scales.
Źródło:
Opuscula Mathematica; 2020, 40, 4; 405-425
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Model bonitacyjny dla sosny na podstawie tablic zasobności Szymkiewicza
Autorzy:
Cieszewski, C.J.
Zasada, M.
Powiązania:
https://bibliotekanauki.pl/articles/1178264.pdf
Data publikacji:
2003
Wydawca:
Polskie Towarzystwo Leśne
Tematy:
tablice zasobnosci drzewostanu
drzewostany sosnowe
modele wzrostu
dendrometria
klasy bonitacji siedliska
drzewostany
sosna
lesnictwo
zasobnosc drzewostanu
drzewa lesne
yield tables
site productivity
site index model
growth model
dynamic equations
initial condition models
Opis:
Tested are three approaches to development of site dependent height age model based on published Scots pine tabular data. The approaches included fitting four−parameter modified Gompertz function individually to all site productivity classes; fitting a one−parameter anamorphic dynamic site index equation to all the data; and fitting a three−parameter polymorphic dynamic site index equation with variable asymptotes to all data. The common fit to all data was based on a base−age invariant approach, in which the site−specific parameters different for each of the site productivity classes are estimated simultaneously with the global model parameters that are common to all site productivities. The best model proved to be based on the polymorphic dynamic equation with variable asymptotes by Cieszewski [2001, Three methods of deriving advanced dynamic site equations demonstrated on Inland Douglas−fir site curves. Can. J. For. Res. 31(1): 165−173], which fitted the data best and provided one common model for all the site classes. The produced model was concluded to be superior to the other models and to the original tables. The presented approach is recommended for modeling of other stand growth attributes.
Źródło:
Sylwan; 2003, 147, 01; 51-62
0039-7660
Pojawia się w:
Sylwan
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamic decoupling of left-invertible MIMO LTI plants
Autorzy:
Dworak, P.
Powiązania:
https://bibliotekanauki.pl/articles/229937.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
dynamic decoupling
left-invertible
pole assignment
polynomial matrix equations
Opis:
In the paper problems with dynamic decoupling of the left-invertible multi-input multi-output dynamic (MIMO) linear time invariant (LTI) plants are considered. It is presented an universal and efficient algorithm for synthesis of control system for proper, square, right and left invertible plants which can be both unstable and/or non-minimumphase.
Źródło:
Archives of Control Sciences; 2011, 21, 4; 443-459
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A model of thermoelastic dynamic contact in conditions of frictional heat and wear
Model dynamicznego kontaktowego zagadnienia termosprężystości przy uwzględnieniu ciepła tarcia i zużycia materiału
Autorzy:
Olesiak, Z.S.
Pyryev, Y.A.
Powiązania:
https://bibliotekanauki.pl/articles/281210.pdf
Data publikacji:
1998
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
dynamic contact problem
friction heat
wear
Volterra-Hammerstein integral equations
Opis:
We have constructed and investigated a model of thermoelastic contact of solids with inretia forces taken into account, in conditions of frictional heat and mechanical wear. It has been assumed that a layer is in a relative motion with respect to a wall. During the motion the gap between the layer and the wall changes due to heat expansion of the layer. The influence of material constants, velocity and parameters of the model on the contact characteristic have been investigated. The solution to the problem has been reduced to a system of the Volterra-Hammerstein non-linear integral equations, which in turn has been solved by means of the developed algorithm. The numerical solutions have been presented in diagrams.
Sformułowaliśmy i zbadaliśmy pewien model kontaktu ciał sprężystych przy uwzględnieniu sił bezwładności w warunkach wydzielania ciepła tarcia i mechanicznego zużycia materiału. W rozpatrywanym zagadnieniu blok materiału i sprężysta warstwa znajdują się w ruchu względnym. Odstęp między poruszającymi się ciałami zmienia się w skutek rozszerzalności cieplnej warstwy. Zbadany został wpływ stałych materiałowych, prędkości względnej i parametrów modelu na charakterystyki kontaktu. Rozwiązanie układu równań różniczkowych cząstkowych, opisujących rozpatrywane zagadnienie, zostało zredukowane do układu nieliniowych równań całkowych Volterry-Hammersteina. Rozwiązanie liczbowe otrzymaliśmy z pomocą zaproponowanego algorytmu. Zostały one przedstawione w postaci wykresów.
Źródło:
Journal of Theoretical and Applied Mechanics; 1998, 2; 305-320
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Design of the oscillatory systems with the extremal dynamic properties
Autorzy:
Górecki, H.
Zaczyk, M.
Powiązania:
https://bibliotekanauki.pl/articles/200267.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
extremal dynamic properties
oscillatory systems
symmetrical equations
regions of the roots
Opis:
In this article the problem of determination of such coefficients a1, a2, ..., an and eigenvalues s1, s2, ..., sn of the characteristic equation which yield required extremal values of the solution x(t) at the extremal value τ of time is solved. The extremal values of x(τ ) and τ are treated as functions of the roots s1, s2, ..., sn. The analytical formulae enable us to design the systems with prescribed dynamic properties. For solution of the problem the properties of symmetrical equations are used. The method is illustrated by an example of the equation of 4-th degree. The regions of the different kinds of the roots: real, with one pair of complex and two pairs of complex roots are illustrated. A practical problem is shown.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 2; 241-253
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamic programming approach to structural optimization problem - numerical algorithm
Autorzy:
Fulmański, P.
Nowakowski, A.
Pustelnik, J.
Powiązania:
https://bibliotekanauki.pl/articles/255706.pdf
Data publikacji:
2014
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
elliptic equations
optimal shape control
structural optimization
stationary Navier-Stokes equations
dynamic programming
sufficient optimality condition
numerical approximation
Opis:
In this paper a new shape optimization algorithm is presented. As a model application we consider state problems related to fluid mechanics, namely the Navier-Stokes equations for viscous incompressible fluids. The general approach to the problem is described. Next, transformations to classical optimal control problems are presented. Then, the dynamic programming approach is used and sufficient conditions for the shape optimization problem are given. A new numerical method to find the approximate value function is developed.
Źródło:
Opuscula Mathematica; 2014, 34, 4; 699-724
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A boundary value problem for a non-linear difference equation
Autorzy:
Lefebvre, Mario
Powiązania:
https://bibliotekanauki.pl/articles/27324014.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
higher-order difference equations
optimal control
dynamic programming
first-passage time
homing problem
Opis:
A boundary value problem for a non-linear difference equation of order three is considered. We show that this equation can be interpreted as the equation satisfied by the value function in a stochastic optimal control problem. We thus obtain an expression for the solution of the non-linear difference equation that can be used to find an explicit solution to this equation. An example is presented.
Źródło:
Archives of Control Sciences; 2023, 33, 4; 829--837
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Second order conditions for periodic optimal control problems
Autorzy:
Allwright, J.
Vinter, R.
Powiązania:
https://bibliotekanauki.pl/articles/970564.pdf
Data publikacji:
2005
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
równanie Riccatiego
programowanie dynamiczne
second order conditions
periodic optimal control
Riccati equations
dynamic programming
Opis:
This paper concerns second order sufficient conditions of optimality, involving the Riccati equation, for optimal control problems with periodic boundary conditions. The problems considered involve no pathwise constraints and are 'regular', in the sense that the strengthened Legendre-Clebsch condition is assumed to be satisfied. A well-known sufficient, condition, which we refer to as the Riccati sufficient condition, requires the existence of a global solution to the Riccati equation whose endpoint values satisfy a certain inequality. A sharper condition, named the extended sufficient, condition, takes the form of an inequality involving the solutions of a Riccati equation and two additional linear matrix equations. We highlight the superiority of the extended Riccati sufficient condition and develop a number of equivalent formulations of this condition. Not only does the extended Riccati sufficient, condition supply more information about, minimizers, but it is the basis of simpler numerical tests for assessing whether an extremal is a minimizer, at least in a local sense. The Riccati and also the extended Riccati sufficient conditions are applied to a variant of Speyer's 'sailboat' problem, involving parameters. It is found that the extended Riccati sufficient condition identifies a much larger set of points on parameter space for which a nominal control is optimal, in comparison to the Riccati sufficient condition.
Źródło:
Control and Cybernetics; 2005, 34, 3; 617-643
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Peg-on-hole: fundamental principles of motion of a peg leaning on a horizontal hole edge
Autorzy:
Chernyakhovskaya, L. B.
Simakov, D. A.
Powiązania:
https://bibliotekanauki.pl/articles/102122.pdf
Data publikacji:
2017
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
cylindrical parts
three contact points
complex motion
two degrees of freedom
dynamic reactions
differential equations
Opis:
This paper presents a solution to the problem of a peg leaning on the edge of a horizontal hole at three points. The object of the interest is the motion in the course of automated peg-in-hole assembly. The complex motion of a peg is described in two degrees of freedom. These degrees of freedom are planar motion and rotational motion. Planar motion provides parts alignment via a change of nutation angle. Rotational motion occurs around a hole axis. It is described by a precession angle. The kinematic analysis of these was performed. Based on this analysis the directions of the peg velocities at the contact points were established. The directions of forces acting on the peg at these points were also determined. The system of Dynamic Differential Equations of the generalized coordinates was derived. This system determines the equations of the peg motion and dynamic reactions. During rotational motion, the forces acting on the peg at contact points are shown to be significantly reduced. This reduction improves the conditions of parts alignment and increases the assembly quality.
Źródło:
Advances in Science and Technology. Research Journal; 2017, 11, 4; 49-59
2299-8624
Pojawia się w:
Advances in Science and Technology. Research Journal
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sufficient optimality conditions for multivariable control problems
Autorzy:
Nowakowski, Andrzej
Powiązania:
https://bibliotekanauki.pl/articles/729408.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
sufficient optimality condition
wave equations
parbolic equation
elliptic equation
Dirichlet boundary controls
dual dynamic programming
Opis:
We study optimal control problems for partial differential equations (focusing on the multidimensional differential equation) with control functions in the Dirichlet boundary conditions under pointwise control (and we admit state - by assuming weak hypotheses) constraints.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2007, 27, 1; 135-150
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Experimental validation of the 3D dynamic unicycle-unicyclist model
Autorzy:
Niełaczny, M.
Barnat, W.
Powiązania:
https://bibliotekanauki.pl/articles/128076.pdf
Data publikacji:
2016
Wydawca:
Politechnika Poznańska. Instytut Mechaniki Stosowanej
Tematy:
unicycle
3D dynamic model
Boltzmann-Hamel equations
monocykl
model dynamiczny 3D
równania Boltzmanna-Hamela
Opis:
The problem of motion of a unicycle – unicyclist system in 3D is studied. The equations of motion of system have been derived using the Boltzmann-Hamel equations. A description of the unicycle – unicyclist system dynamical model, simulation results and experimental validation of the system are presented in the paper.
Źródło:
Vibrations in Physical Systems; 2016, 27; 293-300
0860-6897
Pojawia się w:
Vibrations in Physical Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 22

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