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Tytuł:
A comprehensive approach to double inverted pendulum modelling
Autorzy:
Andrzejewski, Kamil
Czyżniewski, Mateusz
Zielonka, Maciej
Łangowski, Rafał
Zubowicz, Tomasz
Powiązania:
https://bibliotekanauki.pl/articles/229905.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
double inverted pendulum
modelling
non-linear dynamics
Lagrangian mechanics
Opis:
The problem of mathematical modelling and indication of properties of a DIP has been investigated in this paper. The aim of this work is to aggregate the knowledge on a DIP modelling using the Euler-Lagrange formalism in the presence of external forces and friction. To indicate the main properties important for simulation, model parameters identification and control system synthesis, analytical and numerical tools have been used. The investigated properties include stability of equilibrium points, a chaos of dynamics and non-minimum phase behaviour around an upper position. The presented results refer to the model of a physical (constructed) DIP system.
Źródło:
Archives of Control Sciences; 2019, 29, 3; 459-483
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical investigation into flight dynamics of an agile aircraft
Autorzy:
Sibilski, K.
Powiązania:
https://bibliotekanauki.pl/articles/279799.pdf
Data publikacji:
2000
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
non-linear flight dynamics
trajectory analysis
Opis:
The aim of this study is to prove practical applicability of a numerical simulation technique in highlights some of the features of the flight under extreme conditions. dynamics of spatial motion of an agile aircraft is considered. After a brief description of an aircraft mathematical model, the numerical analyses are presented. There have been considered various flight events (such as airdrop or aircraft accident) and manoeuvres (in particular, those performed at high angles of attack).
Numeryczne badanie dynamiki lotu samolotów o podwyższonej sterowności. Rozpatrzono dynamikę samolotu o podwyższonej sterowności. Badania prowadzono stosując symulację komputerową. Zaprezentowano wyniki dynamiki ruchu samolotu w różnych stanach lotu i manewrach.
Źródło:
Journal of Theoretical and Applied Mechanics; 2000, 38, 1; 167-187
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A study of the flight dynamics helicopter carrying an external load using bifurcation theory and continuation methods
Studium dynamiki lotu śmigłowca z podwieszonym ładunkiem z wykorzystaniem teorii bifurkacji i metod kontynuacyjnych
Autorzy:
Sibilski, K.
Powiązania:
https://bibliotekanauki.pl/articles/280714.pdf
Data publikacji:
2003
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
non-linear helicopter dynamics
bifurcation theory
continuation method
Opis:
The paper presents a study of the flight dynamics of a helicopter with an articulated rotor, carrying a suspended load. The aircraft model includes rigid body dynamics, individual flap and blade dynamics, and inflow dynamics. The load is a point mass with a single suspension point. Results are obtained for load masses of up to 1500 kg, with load-to-helocopter mass rations up to 33%, and cable lengths up to 55m. The presence of the external load modifies the flight dynamics and handling quality characteristics of the helicopter because the dynamic and aerodynamic characteristics of the load may make it unstable in certain fight conditions. Maneuvers of this system in wide flight regimes involves non-linear aerodynamics and inertial coupling. In can be stated that the helicopter with the suspended load is a inherently non-linear and time varying system. Theory of dynamical systems provides a methodology for studying such non-linear systems. Bifurcation theory is a part of that theory. It considers changes in the stability of the system which lead to qualitatively different responses of it. In this paper, results from the theory of dynamical systems are used to predict the nature of instabilities caused by bifurcations and the response of the rotorcraft with the suspended load that follow such bifurcations.
W pracy przedstawiono studium dynamiki lotu śmigłowca z przgubowym wirnikiem nośnym, przenoszącego podwieszony pod kadłubem ładunek. W zastosowanym modelu wiropłata uwzględniono stopnie swobody nieodkształcalnego kadłuba, dynamikę wahań i odchyleń łopat wirnika nośnego oraz dynamikę przepływu przez płaszczyznę wirnika nośnego. Założono, że podwieszony ładunek jest punktem materialnym, na który działają siły aerodynamiczne, podwieszonym w jednym punkcie pod kadłubem śmigłowca. Wyniki obliczeń uzyskano dla podwieszonych ładunków o masie do 1500kg (stosunek masy ładunku do masy śmigłowca do 35%), podwieszonych na linie o długości do 55m. Obecność podwieszonego ładunku modyfikuje charakterystyki dynamiczne i osiągi śmigłowca ze względu na silne sprzężenia aerodynamiczne i bezwładnościowe pomiędzy jego ruchem a ruchami śmigłowca. Ze względu na fakt, że układ śmigłowiec-podwieszony ładunek jest opisany za pomocą silnienieliniowych zwyczajnych równań różniczkowych, zastosowanie klasycznej analizy modalnej układu nie zawsze jest możliwe. Doskonałych narzędzi do badania takich równań dostarcza teoria układów dynamicznych i będąca jej częścią teoria bifurkacji. W pracy wykorzystano metodologię teorii układów dynamicznych do prognozowania natury niestabilności spowodowanej występującymi bifurkacjami. Ponadto przeprowadzono symulacje ruchu układu śmigłowiec-podwieszony ładunek po wystąpieniu bifurkacji.
Źródło:
Journal of Theoretical and Applied Mechanics; 2003, 41, 4; 823-852
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The impact of primary suspension stiffness of 2-axle bogie of MKIII passenger car on its dynamical behaviour
Autorzy:
Zboiński, K.
Golofit-Stawińska, M.
Powiązania:
https://bibliotekanauki.pl/articles/961421.pdf
Data publikacji:
2018
Wydawca:
Politechnika Śląska. Wydawnictwo Politechniki Śląskiej
Tematy:
numerical simulation
non-linear dynamics
self-excited vibration
symulacja numeryczna
dynamika nieliniowa
samowzbudne wibracje
Opis:
This article presents results of the study on the impact of stiffness in vehicle primary suspension for lateral direction kzy and longitudinal direction kzx. The study was carried out for 2-axle bogie of MKIII passenger car. The problem was solved by numerical tests performed with the simulation software for dynamics of vehicle-track system. Performed study consisted in varying both stiffness types through change of their values from 0.001 to 1000 times as compared to nominal value.
Źródło:
Transport Problems; 2018, 13, 1; 135-146
1896-0596
2300-861X
Pojawia się w:
Transport Problems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Non-linear vibrations of the axially moving paper web
Nieliniowe drgania przesuwającej się osiowo wstęgi papieru
Autorzy:
Marynowski, K.
Powiązania:
https://bibliotekanauki.pl/articles/280913.pdf
Data publikacji:
2008
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
osiowa wstęga papieru
model reologiczny
nieliniowa dynamika
axially moving web
rheological model
non-linear dynamics
Opis:
Non-linear vibrations of the beam-like model of an axially moving paper web with time-dependent tension have been investigated in this paper. The considered paper parameters have been determined experimentally. The beam model material is considered as the Kelvin-Voigt element. The Galerkin method and the 4-th order Runge-Kutta method have been used to solve the governing non-linear partial-differential equation. The effects of the transport speed, tension perturbation amplitude and internal damping on the dynamic behaviour of the system have been numerically investigated.
W artykule badane są nieliniowe drgania belkowego modelu przesuwającej się osiowo wstęgi papieru, będącej pod wpływem zmiennego obciążenia rozciągającego. Parametry badanego papieru zostały wyznaczone doświadczalnie. Do opisu własności reologicznych papieru został użyty model Kelvina-Voigta. Różniczkowe równania ruchu o pochodnych cząstkowych poddano procesowi dyskretyzacji, wykorzystując metodę Galerkina. Otrzymany układ równań różniczkowych zwyczajnych był całkowany metodą Runge-Kutta. Wpływ prędkości transportowej wstęgi, amplitudy obciążenia rozciągającego oraz tłumienia wewnętrznego na zachowanie dynamiczne układu był przedmiotem badań numerycznych.
Źródło:
Journal of Theoretical and Applied Mechanics; 2008, 46, 3; 565-580
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Gas-condensate banking and well deliverability : a comparative study using analytical- and numerical models
Autorzy:
Ursin, J. R.
Powiązania:
https://bibliotekanauki.pl/articles/298842.pdf
Data publikacji:
2016
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
gas condensate
two phase fluid flow
condensation
reservoir condensate saturation
effective permeability
gas and condensate production
linear dynamics
numerical simulation
Opis:
Reservoir condensate blockage in the reservoir and in particular in the close vicinity of the wellbore may result in significant loss of well deliverability for medium to tight gas reservoirs. The dynamics of fluid flow in these types of reservoirs are investigated by way of analytical description and by numerical simulation of radial two phase flow behavior. The analytical model is based on a single phase semi steady-state solution, being revised for two phase flow of gas and condensate oil. As the liquid is dropping out of the gas, a saturation distribution of immovable oil is seen to develop radially in the reservoir with time. Condensed oil not being part of this saturation distribution is produced to the surface. The numerical model is a cylindrical, single well, fine gridded, simulation model run on the Eclipse E300 compositional simulator. The base case study comprises a rich gas condensate fluid (GOR ~ 1000 Sm3/Sm3), an initial gas-in-place volume of 750 MSm3, and reservoir permeability of 10 mD. A gas flow rate of 0.5 MSm3/day is leading to a production period of about 4 years. A comparative study is performed by varying parameters such as pressure development, development of bank of immovable oil both radially and as function of time, condensate blockage effects, and gas and condensate oil production and onset of reduced well deliverability. Sensitivity analysis are performed by studying variation in the productivity index, non-Darcy and mechanical skin, and sensitivities related to permeability. It has been confirmed in this study that condensate blockage has a direct and negative impact on well deliverability, where both the plateau period and the bottom hole pressure are reduced. We also show that the analytical model compares well with the numerical models and that many features describing gas-condensate banking and well deliverability are adequately described in the model. The analytical model also offers insight into the process of reservoir liquid storage in gas condensate reservoirs.
Źródło:
AGH Drilling, Oil, Gas; 2016, 33, 2; 259-289
2299-4157
2300-7052
Pojawia się w:
AGH Drilling, Oil, Gas
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Recurrent neural networks for dynamic reliability analysis
Autorzy:
Cadini, F.
Zio, E.
Pedroni, N.
Powiązania:
https://bibliotekanauki.pl/articles/2069583.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Morski w Gdyni. Polskie Towarzystwo Bezpieczeństwa i Niezawodności
Tematy:
dynamic reliability analysis
infinite impulse response
locally recurrent neural network
long-term non-linear dynamics
system state memory
simplified nuclear reactor
Opis:
A dynamic approach to the reliability analysis of realistic systems is likely to increase the computational burden, due to the need of integrating the dynamics with the system stochastic evolution. Hence, fast-running models of process evolution are sought. In this respect, empirical modelling is becoming a popular approach to system dynamics simulation since it allows identifying the underlying dynamic model by fitting system operational data through a procedure often referred to as ‘learning’. In this paper, a Locally Recurrent Neural Network (LRNN) trained according to a Recursive Back-Propagation (RBP) algorithm is investigated as an efficient tool for fast dynamic simulation. An application is performed with respect to the simulation of the non-linear dynamics of a nuclear reactor, as described by a simplified model of literature.
Źródło:
Journal of Polish Safety and Reliability Association; 2007, 1; 45--53
2084-5316
Pojawia się w:
Journal of Polish Safety and Reliability Association
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
From Beale Number to Pole Placement Design of a Free Piston Stirling Engine
Autorzy:
Zare, S.
Tavakolpour-Saleh, A.
Omidvar, A.
Powiązania:
https://bibliotekanauki.pl/articles/140258.pdf
Data publikacji:
2017
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
free-piston Stirling engine
linear dynamics
roots loci
Beale number
silnik Stirlinga z wolnym tłokiem
dynamika liniowa
linie pierwiastkowe
liczba Beale
Opis:
In this paper, pole placement-based design and analysis of a free piston Stirling engine (FPSE) is presented and compared to the well-defined Beale number design technique. First, dynamic and thermodynamic equations governing the engine system are extracted. Then, linear dynamics of the free piston Stirling engine are studied using dynamic systems theory tools such as root locus. Accordingly, the effects of variations of design parameters such as mass of pistons, stiffness of springs, and frictional damping on the locations of dominant closed-loop poles are investigated. The design procedure is thus conducted to place the dominant poles of the dynamic system at desired locations on the s-plane so that the unstable dynamics, which is the required criterion for energy generation, is achieved. Next, the closed-loop poles are selected based on a desired frequency so that a periodical system is found. Consequently, the design parameters, including mass and spring stiffness for both power and displacer pistons, are obtained. Finally, the engine power is calculated through the proposed control-based analysis and the result is compared to those of the experimental work and the Beale number approach. The outcomes of this work clearly reveal the effectiveness of the control-based design technique of FPSEs compared to the well-known approaches such as Beale number.
Źródło:
Archive of Mechanical Engineering; 2017, LXIV, 4; 499-518
0004-0738
Pojawia się w:
Archive of Mechanical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Nonlinear homogeneous dynamical system of fully cracked concrete beam
Autorzy:
Mohan, G.
Pandey, U. K.
Powiązania:
https://bibliotekanauki.pl/articles/1818788.pdf
Data publikacji:
2021
Wydawca:
Stowarzyszenie Komputerowej Nauki o Materiałach i Inżynierii Powierzchni w Gliwicach
Tematy:
non-linear dynamics
two-DOF systems
homogeneous dynamical systems
bilinearity ratio
cracked concrete beams
fixed beam
dynamika nieliniowa
układ dynamiczny
system homogeniczny
belka betonowa
Opis:
Purpose: Purpose of this paper is the theoretical formulation of elasto-dynamics behaviour of fully cracked concrete beams for two-degree of freedom (DOF) dynamical system. Such modelled system is demonstrated by a new class of two-DOF conservative, fully-nonlinear systems known as nonlinear homogeneous dynamical (NHD) systems. Design/methodology/approach: The theoretical formulation of Two-DOF dynamical system has been developed by using the fundamental concept of structural analysis. Further, the behaviour of such class of conservative dynamical system has been concluded by using MATLAB. Findings: Findings can be distinguished into two aspects. First, when subjected to service loads, reinforced concrete structures possess tension cracks. Due to load variation with time leads the breathing action (opening-closing-reopening) of existing cracks and the behaviour of such structures are nonlinearly-elastic. Second, such class of fully nonlinear dynamical system possess dependence of stiffness coefficients on nodal displacements. Research limitations/implications: The mechanism behind such class of fully nonlinear dynamical system is not yet fully explored. Practical implications: Practical implications are related to the structural response of fully cracked concrete beam to different earthquake excitation, especially to understand the response of such nonlinear homogeneous elasto-dynamical system with two-DOF concrete beam. Originality/value: Elasto-dynamics of fully cracked concrete beams.
Źródło:
Journal of Achievements in Materials and Manufacturing Engineering; 2021, 106, 1; 5--19
1734-8412
Pojawia się w:
Journal of Achievements in Materials and Manufacturing Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Control Methods Design for a Model of Asymmetrical Quadrocopter
Autorzy:
Beniak, R.
Gudzenko, O.
Powiązania:
https://bibliotekanauki.pl/articles/384229.pdf
Data publikacji:
2016
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
linear quadratic regulator
inverse dynamics
quadrocopter
dynamic mode
Opis:
The paper describes the results of quadrocopters motion properties for the control based on the inverse dynamics method and optimal control method with synthesis linear-quadratic regulator (LQR). Motion of quadrocopters is tested for composite trajectories. The new model of asymmetrical quadrocopters, taking into account the rotation and shift of one arm relative to the other, was developed. A few criteria for evaluation of the effectiveness of control methods of quadrocopters are presented in this paper. An analysis of the results allows selecting a method for solving the problem of quadrocopters control and making recommendations for the formation of trajectories.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2016, 10, 2; 40-49
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Matematicheskaja model dinamiki dvizhenija ehlektrotekhnicheskogo robotizirovannogo kompleksa fitomonitoringa v teplice
Mathematical model of dynamics of movement of robotic systems electrical phytomonitoring in the greenhouse
Autorzy:
Lysenko, V.
Bolbot, I.
Chernov, I.
Powiązania:
https://bibliotekanauki.pl/articles/77830.pdf
Data publikacji:
2015
Wydawca:
Komisja Motoryzacji i Energetyki Rolnictwa
Tematy:
greenhouse
dynamics model
robot
angular velocity
linear velocity
Źródło:
Motrol. Motoryzacja i Energetyka Rolnictwa; 2015, 17, 4
1730-8658
Pojawia się w:
Motrol. Motoryzacja i Energetyka Rolnictwa
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Introduction to non-linear Thermal-FSI on the example of transient load of a thin-walled container
Autorzy:
Kraszewski, B.
Powiązania:
https://bibliotekanauki.pl/articles/1818166.pdf
Data publikacji:
2018
Wydawca:
Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
Tematy:
thermal-FSI
CFD
computational fluid dynamics
CSD
computational solid dynamics
non-linear mechanics
Opis:
This paper presents the problems associated with the transient thermal load of structures exhibiting a non-linear relationship between load and strain. The mathematical model required to comprehensively describe the relationship between fluid and solid has been shown from different perspectives. In addition, the Newton-Raphson method has been referred to as a way of solving nonlinear equations. The article also presents the assumptions and results of numerical analysis of thin-walled container thermally loaded by contact with hot water. The conclusions drawn emphasize the importance of Thermal-FSI tools, especially in the power engineering sector.
Źródło:
Zeszyty Energetyczne; 2018, 5; 1--13
2658-0799
Pojawia się w:
Zeszyty Energetyczne
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Linear computational cost implicit solver for parabolic problems
Autorzy:
Gurgul, Grzegorz
Łoś, Marcin
Paszynski, Maciej
Calo, Victor
Powiązania:
https://bibliotekanauki.pl/articles/1839258.pdf
Data publikacji:
2020
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
isogeometric analysis
implicit dynamics
linear computational cost
direct solvers
Opis:
In this paper, we use the alternating direction method for isogeometric finite elements to simulate transient problems. Namely, we focus on a parabolic problem and use B-spline basis functions in space and an implicit time-marching method to fully discretize the problem. We introduce intermediate time-steps and separate our differential operator into a summation of the blocks that act along a particular coordinate axis in the intermediate time-steps. We show that the resulting stiffness matrix can be represented as a multiplication of two (in 2D) or three (in 3D) multi-diagonal matrices, each one with B-spline basis functions along the particular axis of the spatial system of coordinates. As a result of these algebraic transformations, we get a system of linear equations that can be factorized in a linear O(N) computational cost at every time-step of the implicit method. We use our method to simulate the heat transfer problem. We demonstrate theoretically and verify numerically that our implicit method is unconditionally stable for heat transfer problems (i.e., parabolic). We conclude our presentation with a discussion on the limitations of the method.
Źródło:
Computer Science; 2020, 21 (3); 335-352
1508-2806
2300-7036
Pojawia się w:
Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Experimental and numerical determination of the hydrodynamic coefficients of an autonomous underwater vehicle
Autorzy:
Sakaki, Abdollah
Kerdabadi, Mohsen Sadeghian
Powiązania:
https://bibliotekanauki.pl/articles/135543.pdf
Data publikacji:
2020
Wydawca:
Akademia Morska w Szczecinie. Wydawnictwo AMSz
Tematy:
Reynolds averaged Navier–Stokes
computational fluid dynamics
linear coefficients
non-linear coefficients
underwater vehicle
Opis:
Computational fluid dynamics (CFD) has progressed rapidly in the past fifty years and is now used in many industrial fields, such as air, space, and marine engineering. CFD has an irreplaceable role in marine design and scientific research, and its applications within this field continue to grow with the development of computers. CFD is used to quickly and inexpensively simulate fluid behaviour using the Reynolds Averaged Navier–Stokes (RANS) equations to calculate hydrodynamic coefficients, which are needed in manoeuvrability studies of underwater vehicles (UWV). Here, these computations are performed for six geometrical shapes that represent typical autonomous underwater vehicles (AUVs) currently in use. Resistance test simulations at up to 20o drift angles were conducted for AUVs with different length-to-diameter ratios. The results were compared with the experimental data and current quasi-experimental relationships, which suggested that the CFD predictions were adequately precise and accurate. These predictions indicated that there was a non-linear relationship between forces and moments and the lateral speed. Moreover, both linear and non-linear hydrodynamic coefficients were calculated.
Źródło:
Zeszyty Naukowe Akademii Morskiej w Szczecinie; 2020, 62 (134); 124-135
1733-8670
2392-0378
Pojawia się w:
Zeszyty Naukowe Akademii Morskiej w Szczecinie
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Investigation of the pad stiffness effects on the initiation of brake squeal phenomenon
Autorzy:
Yavuz, Akif
Sen, Osman
Powiązania:
https://bibliotekanauki.pl/articles/2200884.pdf
Data publikacji:
2023
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
disc brake squeal
mode coupling phenomenon
linear stability analysis
nonlinear dynamics
Opis:
The main objective of this study is to investigate pad stiffness effects on the instability of a nonlinear brake squeal model. Hence, a nonlinear mathematical model is developed. The nonlinear model is linearized to check the system stability through complex eigenvalue analysis. The results of linear stability analyses are compared to the numerical solution of the nonlinear model, and it is observed that the dynamic behavior predicted by the linear stability analysis is in accordance with the numerical solutions. Though, a discrepancy may occur at the predicted squeal frequencies with both approaches, especially at high pad stiffness levels.
Źródło:
Journal of Theoretical and Applied Mechanics; 2023, 61, 2; 219--232
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
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