Ograniczanie wyników
Czasopisma help
Autorzy help
Lata help
Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 57

Liczba wyników na stronie
first rewind previous Strona / 3 next fast forward last
Wyniki wyszukiwania
Wyszukiwano:
w słowach kluczowych:  bifurcation
help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 3 next fast forward last
EN
A rotating system consisting of a slender massless viscoelastic shaft simply supported in rolling bearings and a rigid massive disc mounted to the overhung end of the shaft is considered to study its stabilization against flutter. Instability and transverse vibration occurs due to the internal friction in the shaft. It is shown in the paper that the disc can be stabilized and its bifurcating self-excited vibration can be effectively reduced and modified by contactless radial magnetic actuators, using two alternative control strategies – semi-active utilizing constant or rotation-dependent actuator voltage or fully active with closed-loop state-dependent feedback. The near-critical transverse disc vibration is analyzed using the theory of Hopf bifurcation. Smooth, soft-type self-excitation is presented after activation of the dynamic vibration control which prevents the system from sudden jumps of vibration amplitude near the critical point.
EN
This paper presents parallel and massively parallel calculations of two-parameter bifurcation diagrams of an electric arc model. A simple dynamical model of electric arc is used. Such a model can show complex two-parameter bifurcations with periodic and chaotic responses. Two different parallel computing technologies were used to implement the calculations. Parallel computations are implemented using the OpenMP library and CPU processors. Massively parallel computations are implemented using the Nvidia CUDA technology and GPU processors.
PL
W artykule przedstawiono równoległe i masowo równoległe obliczenia dwuparametrycznych diagramów bifurkacyjnych dla modelu łuku elektrycznego. Do analizy wykorzystano dynamiczny model łuku elektrycznego z okresowymi i chaotycznymi odpowiedziami. Do realizacji obliczeń wykorzystano dwie różne technologie. Obliczenia równoległe zaimplementowano przy użyciu biblioteki OpenMP i procesorów CPU. Obliczenia masowo równoległe zostały zaimplementowane przy użyciu technologii Nvidia CUDA i procesorów GPU.
EN
There are several low frequency vibration phenomena which can be observed in automotive disk brakes. Creep groan is one of them provoking noise and structural vibrations of the car. In contrast to other vibration phenomena like brake squeal, creep groan is caused by the stick-slip-effect. A fundamental investigation of creep groan is proposed in this paper theoretically and experimentally with respect to parameter regions of the occurrence. Creep groan limit cycles are observed while performing experiments in a test rig with an idealized brake. A nonlinear model using the bristle friction law is set up in order to simulate the limit cycle of creep groan. As a result, the system shows three regions of qualitatively different behavior depending on the brake pressure and driving speed, i.e. a region with a stable equilibrium solution and a stable limit cycle, a region with only a stable equilibrium solution, and a region with only a stable limit cycle. The limit cycle can be interpreted as creep groan while the equilibrium solution is the desired vibration-free case. These three regions and the bifurcation behavior are demonstrated by the corresponding map. The experimental results are analyzed and compared with the simulation results showing good agreement. The bifurcation behavior and the corresponding map with three different regions are also confirmed by the experimental results. At the end, a similar map with the three regions is also measured at a test rig with a complete real brake.
EN
To study chaos and bifurcation of a gear system, a five-degree-of-freedom nonlinear dynamic model of a gear-rotor-bearing system is established. It consists of a gear pair, supporting shafts, bearings and other auxiliary components. The effects of frequency, backlash, bearing clearance, comprehensive transmission error and stiffness on nonlinear dynamics of the system are investigated according to bifurcation diagrams, phase portraits and Poincar´e maps by a numerical method. Some nonlinear phenomena such as grazing bifurcation, Hopf bifurcation, inverse-Hopf bifurcation, chaos and coexistence of attractors are investigated. Different grazing bifurcations and their causes are discussed. The critical parameters are identified, too.
EN
DC/DC converters are wealthy of nonlinear phenomena that appear when the converter parameters are subject to perturbation or variation. The converter may exhibit bifurcation from behavior to another, quasi periodic and chaotic responses. In such cases, it is difficult and even impossible to analyze, to predict and to control the converter behavior. This paper gives a description of a DC/DC converter and shows their desirable and undesirable behaviors; then a solution, based on type-2 fuzzy logic controller, is proposed to eliminate the undesirable behaviors and to enhance the converter dynamics.
6
Content available Chaotic Processes In PWM Converter
EN
The possibility of chaotic oscillations in them is determined. The structure of the chaotic oscillations in the DC converter is considered. The system stability at various gain values of the feedback signal is investigated. The task is building a precision DC buck converter. The goal is achieved by means of providing high feedback signal gain converter operation mode. The work of the converter is commended in a case of: a) changing the input voltage; b) changing the value of the load resistance. It is shown that while ensuring the appropriate converter operation mode it is possible to improve stabilising properties and reduce the system operation frequency.
7
PL
Artykuł przedstawia wyniki badań mających na celu określenie wpływu stanu powierzchni tocznych kół i szyn na stateczność i bezpieczeństwo ruchu modelu pojazdu szynowego po łuku. Większość czynników środowiskowych ma wpływ na stan powierzchni szyn i tym samym na zjawiska kontaktowe koła - szyny. W badaniach modelowych stan współpracujących powierzchni kół i szyn reprezentowany jest przez współczynnik tarcia. Badany jest model 4-osiowego pojazdu szynowego utworzony z wykorzystaniem oprogramowania inżynierskiego VI-Rail. Dla kilku wybranych wartości współczynnika tarcia wykonano badania stateczności ruchu po łukach oparte na metodzie bifurkacyjnej. Wyniki badań odniesiono do powszechnie stosowanego kryterium bezpieczeństwa przeciw wykolejeniu.
EN
To evaluate the condition of wheel and rail surface influence on rail vehicle model stability and safety is main aim of presented research. Some environment and whether conditions may have significant influence on the rail vehicle dynamics in curve. Wheels and rails surface properties directly depend on the humidity, temperature and environment pollutions. The coefficient of friction between wheels and rails is the parameter, which characterize the changeable conditions. The investigations focus on determination of coefficient of friction influence on rail vehicle dynamics. The 4-axle rail vehicle model of passenger coach was prepared with use of the engineering software VI-Rail. The wheel-rail forces are calculated using the FASTSIM algorithm of Kalker. One value of coefficient of friction is applied for single simulation process. Twenty four series of simulations for coefficient of friction changed from 0.1 to 0.8 and curve radius R = 2000, 3000 and 4000 m were performed. The results are presented in form of bifurcation diagrams. The stability of motion results are compared to Nadal’s safety of motion criterion.
EN
In this article, an inverted pendulum system is set up to explore the dynamics of a horizontally driven pendulum which exhibits a great variety of dynamical behavior and appears in a wide range of applications in the field of engineering. The facility is efficient to experimentally explore two kinds of coexisting movement patterns in the horizontally driven pendulum, i.e. in-phase and anti-phase patterns between the angular velocity of the pendulum rod and the direction of the driving forces. Theoretical analysis is applied to reveal the regimes of the coexistence of the two movement patterns, which is promising to control the system to a desired pattern.
EN
Lost of Control in Flight (LOC-I) is ordinarily associated with flight outside of the normal flight envelope, with nonlinear behaviours, and with an inability of the pilot to control the aircraft. These results provide a means for analysing accident data to establish whether or not the accident should be classified as LOC-I. Moreover, they help identify when the initial upset occurred, and when control was lost. The analysis also suggests which variables were involved, thereby providing clues as to the underlying mechanism of upset. However, it does not provide direct links to the flight mechanics of the aircraft, so it cannot be used proactively to identify weaknesses or limitations in the aircraft or its control systems. Moreover, it does not explain how departures from controlled flight occur. The complexity of the disaster aetiology stems from both the scale and coupling of the systems (not only the physical aircraft systems but also the organizational systems that support the operation). This complexity creates a pattern of disaster that evolves or it is precipitated through a series of several small failures. The cusp catastrophe model facilitates the mapping of Reason’s latent failure model, providing a descriptive and predictive illustration of the emergence of latent conditions under the trigger of situational factors. The risk of an accident increases as the situational and systematic factors combine to create an inherent instability resulting in the catastrophic event.
EN
In this paper, we investigate the combined effect of internal heating and time periodic gravity modulation in a viscoelastic fluid saturated porous medium by reducing the problem into a complex non-autonomous Ginzgburg-Landau equation. Weak nonlinear stability analysis has been performed by using power series expansion in terms of the amplitude of gravity modulation, which is assumed to be small. The Nusselt number is obtained in terms of the amplitude for oscillatory mode of convection. The influence of viscoelastic parameters on heat transfer has been discussed. Gravity modulation is found to have a destabilizing effect at low frequencies and a stabilizing effect at high frequencies. Finally, it is found that overstability advances the onset of convection, more with internal heating. The conditions for which the complex Ginzgburg-Landau equation undergoes Hopf bifurcation and the amplitude equation undergoes supercritical pitchfork bifurcation are studied.
EN
Since the so-called Hopf-type amplifier has become an established element in the modeling of the mammalian hearing organ, it also gets attention in the design of nonlinear amplifiers for technical applications. Due to its pure sinusoidal response to a sinusoidal input signal, the amplifier based on the normal form of the Andronov-Hopf bifurcation is a peculiar exception of nonlinear amplifiers. This feature allows an exact mathematical formulation of the input-output characteristic and thus deeper insights of the nonlinear behavior. Aside from the Hopf-type amplifier we investigate an extension of the Hopf system with focus on ambiguities, especially the separation of solution sets, and double hysteresis behavior in the input-output characteristic. Our results are validated by a DSP implementation.
EN
In this publication the nonlinear slender cantilever column composed of two rods in which the cracks are present is investigated. The cracks are simulated by means of rotational springs with linear characteristic. Additionally the external compressive load is located at the free end to the structure. In order to predict the static behaviour of the column the boundary problem is being formulated by means of the principle of total potential energy. The results of numerical simulations are concern on influence of the locations of cracks on loading capacity. On the basis of the analysis of the results the most dangerous (lowest loading capacity) regions are found.
EN
The study presents results of experiments and numerical analyses concerning thin-walled shells used as components of aircraft structures. The solution, which is proposed here, consists in stiffening such elements by means of integral ribs. A comparative analysis has been carried out between the suggested design solution and the reference structure. In the experimental part of the study, an optical scanner with digital image correlation has been used. Nonlinear numerical analyses have been carried out with the use of software based on the finite element method.
PL
Opracowanie przedstawia wyniki badań związanych z problemem uzyskiwania wiarygodnych wyników nieliniowych analiz numerycznych, w ujęciu metody elementów skończonych, cienkościennych struktur nośnych poddawanych obciążeniom zakrytycznym. Zgodność wyników numerycznych symulacji z rzeczywistymi dystrybucjami naprężeń uzależniona jest od poprawnego numerycznego odwzorowania bifurkacji zachodzących w procesach zaawansowanych deformacji.
EN
The study presents results of a research work on the problem of obtaining reliable results of nonlinear FEM analyses of thin-walled load-bearing structures subjected to post-critical loads. Consistency of numerical simulations results and actual stress distribution states depends on the correct numerical reproduction of bifurcations that occur during advanced deformations processes.
PL
Zjawisko chaosu deterministycznego występuje wskutek zmian parametrów układu. W badaniach poszukiwano bifurkacji - punktów utraty stabilności układu podczas tworzenia się pęcherzyków gazu. Specjalnie utworzone stanowisko połączone z oprogramowaniem LabVIEW pozwalało na mierzenie czasu powstawania pęcherzy przy zmiennym natężeniu objętościowym gazu. Określony został wpływ kształtu oraz średnicy dyszy na osiąganie przez układ stanu chaosu deterministycznego.
EN
The article presents the results of research on the prevalence of deterministic chaos during the formation of gas bubbles. In order to measure the time of the formation of gas bubbles a test bench was built. The research allowed us to determine the bifurcation diagrams for cylindrical and conical nozzles. Bifurcation occurs and it causes that we can see two points for the same gas stream. The system loses stability gradually until the appearance of chaos, i.e., the total instability of the system.
EN
Implementation of the new class of 1000 MW power units to a power system creates new problems associated with the operation of its individual components and circuits. One such issue is the phenomenon of ferroresonance in the internal load network. This is not a new problem but it requires examination due to the higher level of supply voltage (10 kV). This paper examines the possibility of ferroresonance occurrence and its character depending on the extent of the network, voltage transformers’ load, the effect of grounding resistors in the star point of the power transformer and the presence of varistor surge arresters. The results are presented in the form of ferroresonance maps. They allow assessing the impact of various parameters on the phenomenon, explaining the reasons for possible failure and properly programming the network conditions in order to avoid the risk of ferroresonance.
PL
Wprowadzanie do systemu elektroenergetycznego bloków energetycznych klasy 1000 MW rodzi nowe problemy związane z eksploatacją poszczególnych jego podzespołów i obwodów. Jednym z takich zagadnień jest zjawisko ferrorezonansu w sieci potrzeb własnych. Nie jest to problem nowy, ale ze względu na wyższy od dotychczasowych poziom napięcia zasilania (10 kV) wymaga zbadania. W artykule autorzy przeanalizowali możliwość wystąpienia ferrorezonansu i jego charakter w zależności od rozległości sieci i obciążenia przekładników napięciowych, wpływ rezystorów uziemiających w punkcie neutralnym transformatora odczepowego oraz obecności ograniczników przepięć. Wyniki zaprezentowano w postaci wykresów bifurkacyjnych i map ferrorezonansu. Pozwalają one ocenić wpływ poszczególnych parametrów pracy na zjawisko, wyjaśnić przyczyny możliwej awarii i prawidłowo zaprogramować warunki pracy sieci tak, aby unikać zagrożenia ferrorezonansem.
PL
Wprowadzanie do systemu elektroenergetycznego bloków energetycznych klasy 1000 MW rodzi nowe problemy związane z eksploatacją poszczególnych jego podzespołów i obwodów. Jednym z takich zagadnień jest zjawisko ferrorezonansu w sieci potrzeb własnych. W artykule przeanalizowano możliwość wystąpienia ferrorezonansu i jego charakter w zależności od rozległości sieci i obciążenia przekładników napięciowych, wpływ rezystorów uziemiających w punkcie neutralnym transformatora odczepowego oraz obecności ograniczników przepięć. Wyniki zaprezentowano w postaci wykresów bifurkacyjnych i map ferrorezonansu.
EN
Implementation of the new class of 1000 MW power units to a power system creates new problems associated with the operation of its individual components and circuits. One of such issues is the phenomenon of ferroresonance in the internal load network. This is not a new problem but it requires examination due to the higher level of supply voltage (10 kV). This paper examines the possibility of ferroresonance occurrence and its character depending on the extent of the network, voltage transformers load, the effect of grounding resistors in the star point of power transformer and the presence of varistor surge arresters. The results are presented in the form of ferroresonance maps. They allow to assess the impact of various parameters on the phenomenon, explain the reasons for possible failure and properly program the network conditions in order to avoid the risk of ferroresonance.
EN
The study presents results of research on the problem of obtaining credible results of nonlinear FEM analyses of thin-walled load-bearing structures subjected to post-critical loads. The similarity of numerical simulation results and actual stress distribution states depends on the correct numerical reproduction of bifurcations that occur during an advanced deformation process.
EN
This paper presents a study of non-linear normal contact vibrations excited by an external harmonic force in a system containing two bodies being in planar contact. The system models, for instance, the slide unit of machine tools or positioning systems. The presented results, which are obtained both with numerical and perturbation methods, show clearly the evolution of resonance phenomena under various excitation amplitudes. Apart from the primary resonance, a number of super-harmonic resonances has been excited in the nonlinear single-degree-of-freedomsystem. Hence, a resonance graph contains a number of peaks being below the natural frequency. The contact vibrations are associated with strongly nonlinear phenomena like: asymmetry of vibrations, loss of contact, bending resonance peak, multi-stability, period-doubling bifurcations, chaotic vibrations, which are far from linear dynamics. These phenomena are presented and described in this article.
PL
Przedstawiono możliwość zastosowania w praktyce elementów teorii bifurkacji i chaosu do analizy i kontroli pracy systemu elektroenergetycznego.
EN
The paper presents a possibility of practical application of bifurcation and chaos theory components in analysis and control of operation of electric power system.
first rewind previous Strona / 3 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.