Control and chaos for vibro-impact and non-ideal oscillators

In the paper, we discuss dynamics of two kinds of mechanical systems. Initially, we consider vibro-impact systems which have many implementations in applied mechanics, ranging from drilling machinery and metal cutting processes to gear boxes. Moreover, from the point of view of dynamical systems, vibro-impact systems exhibit a rich variety of phenomena, particularly chaotic motion. In this paper, we review recent works on the dynamics of vibro-impact systems, focusing on chaotic motion and its control. The considered systems are a gear-rattling model and a smart damper to suppress chaotic motion. Furthermore, we investigate systems with non-ideal energy source, represented by a limited power supply. As an example of a non-ideal system, we analyse chaotic dynamics of the damped Duffing oscillator coupled to a rotor. Then, we show how to use a tuned liquid damper to control the attractors of this non-ideal oscillator.

Stegmotorstyrd rotortilt för användning vid mätning av antenners riktningskaraktäristik

Radioantenner tillverkas med olika egenskaper för att passa olika applikatoner. En av dessa egenskaper är antennens riktningskaraktäristik. Hur antennen skall konstrueras för att få den eftersträvade riktningskaraktäristiken kan beräknas. För att kontrollera att antennens faktiska riktningskaraktäristik överensstämmer med den beräknade kan antennens riktningskaraktäristik mätas. Företaget Detectus AB utvecklar idag ett mätsystem för att mäta antenners riktningskaraktäristik och presentera denna i form av ett tredimensionellt polärdiagram. Rapporten beskriver det examensarbete som genomförts i syfte att utveckla hårdvara med tillhörande styrsystem för mätsystemet. En prototyp för den rotortilt som skall rotera och tilta antennen under mätningen har utvecklats. Till denna rotortilt har också mjukvara för styrning av rotations- och tiltrörelsernas stegmotorer tagits fram. Vidare arbete innefattar att implementera en nödstoppsfunktion samt en referenssökningsfunktion för rotortilten. Vidare arbete innefattar också att utveckla mjukvara för mätsystemet.

Análise dinâmica de rotores de grupos turbo e hidrogeradores com o método das matrizes de transferência

Conhecer o comportamento vibratório de rotores de máquinas rotativas, já durante a fase de projeto, é uma necessidade cada vez maior nos dias atuais, quando modificações corretivas, após o início da operação, já não são mais aceitáveis, devido aos altos custos de material e execução empregados, se comparados com os lucros que são cada vez mais reduzidos, em função das regras impostas pelo mercado, e devido também ao tempo necessário para tais modificações, que implica em manter a máquina parada, sem gerar lucros nesse penodo, acarretando em mu1tas contratuais para o fabricante. o presente trabalho visa dar subsídiosà análise dinâmicadas linhas de eixos de turbo e hidrogeradores (conjuntos formados pela turbina mais o gerador, usados respectivamentenas centraistermelétricase hidrelétricas). Inicialmente é feita uma breve explanação sobre formas construtivas de hidrogeradores e tipos de turbinas hidráu1icas utilizados atualmente. O trabalho prossegue apresentando as propriedades dos mancais com filme de óleo, os fenômenos do empuxo magnético no rotor do gerador e do efeito giroscópico, bem como a norma ISO 1940, que define os níveis admissíveis de desbalanceamentos residuais para rotores de máquinas É apresentada uma formulação matemática pelo Método das Matrizes de Transferência para as análises das vibrações livres, bem como das vibrações forçadas com carregamentos cíclicos devido aos desbalanceamentos residuais das linhas de eixos. A análise das vibrações livres é feita para a obtenção das fteqüências naturais torcionais e das fteqüências tlexionais críticas em um plano. A análise das vibrações forçadas é elaborada para fornecer as respostas dinâmicas em dois planos ortogonais, devido ao desbalanceamento residual. Para aplicação da metodologia de cálculo apresentada, são elaboradas rotinas computacionais de cálculos, utilizando como plataforma o software MATLAB. Para testar o Método das Matrizes de Transferência, bem como os programas de computador elaborados, faz-se algumas análises com soluções analíticas exatas e comparam-se resultados obtidos. Como aplicação prática, faz-se um estudo aprofundado dos comportamentos dinâmicos algumas linhas de eixos de hidrogeradores, para variações de configurações de construção dessas, bem como para as diversas condições de operação.

Respostas periódicas em sistemas lineares e fracamente não lineares não ressonantes e comportamento dinâmico de sistemas rotativos com o uso da base dinâmica

Este trabalho visa realizar o estudo do comportamento dinâmico de um eixo rotor flexível, modelado segundo a teoria de Euler-Bernoulli e caracterizar as respostas periódicas de sistemas LTI (sistemas lineares invariantes no tempo) e sistemas fracamente não lineares de ordem arbitrária. Para tanto, é utilizada a base dinâmica gerada pela resposta impulso ou solução fundamental. O comportamento dinâmico de um eixo rotor flexível foi discutido em termos da função de Green espacial e calculada de maneira não-modal. Foi realizado um estudo do problema de autovalor para o caso de um um eixo rotor biapoiado. As freqüências são obtidas e os modos escritos em termos da base dinâmica e da velocidade de rotação. As respostas periódicas de sistemas LTI, utilizadas nas aproximações com sistemas fracamente não lineares, são obtidas, independentemente da ordem do sistema, como um operador integral onde o núcleo é a função de Green T-periódica. Esta função é caracterizada em termos das propriedades de continuidade, periodicidade e salto da função de Green T-periódica, e da base dinâmica Simulações foram realizadas para sistemas concentrados, matriciais e escalares, com o objetivo de mostrar a validade da metodologia desenvolvida com as propriedades da função de Green T-periódica. Foi abordado um modelo não-linear para uma centrífuga utilizada na indústria textil [Starzinski, 1977].

Desenvolvimento de elastômeros termoplásticos a partir de SBR epoxidada e polipropileno

Os elastômeros termoplásticos vulcanizados (TPVs) na sua maioria constituídos por borrachas apolares (EPDM, NR) e poliolefinas (PP, PE), apresentam a vantagem de serem processáveis como termoplásticos e serem facilmente reciclados. No entanto, apresentam desvantagens no que se refere à sua baixa resistência a óleos, combustíveis e graxas em relação à borracha termofixa. Este trabalho, teve como objetivo estudar a obtenção de TPVs com propriedades mecânicas adequadas e resistência a óleos e solventes orgânicos, a partir da borracha comercial SBR 1502 parcialmente epoxidada. Esta, por ter a estrutura química de sua cadeia principal modificada pela introdução de grupos epóxidos, deve apresentar melhor resistência a óleos e solventes. Os TPVs foram obtidos em misturador fechado acoplado a um reômetro Haake, na temperatura de 1800C e velocidade de rotor de 75 rpm, vulcanizados dinamicamente com o sistema Bismaleimida/peróxido de dicumila. Foram caracterizados quanto às suas propriedades mecânicas por medidas tensão-deformação, medidas mecânicas dinâmicas, inchamento em ciclohexano, THF e óleo IRM 903, dureza. A morfologia foi determinada por microscopia eletrônica de varredura, MEV. Foram analisados os fatores que influenciam as propriedades dos TPVs, tais como composição (relação PP/SBR), teor de BMI, grau de epoxidação da borracha, uso de agente compatibilizante. O TPV na composição PP/SBR 40/60, esta epoxidada em 40 mol % e contendo o agente compatibilizante Vestenamer adicionado na forma de blenda (borracha/agente compatibilizante) apresentou a melhor resposta em termos de tensão-deformação na ruptura. Os TPVs com a SBR epoxidada em 70% apresentaram melhor resistência a óleo e solventes. Os fatores, potencialmente, capazes de influenciar a dureza dos TPVs também foram avaliados. Neste particular, verificou-se que o tipo de poliolefina, bem como o uso de plastificante são os fatores que mais influenciam a dureza dos TPVs.

Sexagem de espermatozoides bovinos por centrifugação em gradiente descontínuo de densidade de Percoll

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Controle vetorial de velocidade de uma máquina de indução sem mancais trifásica com bobinado dividido utilizando estimação neural de fluxo

This work describes the study and the implementation of the vector speed control for a three-phase Bearingless induction machine with divided winding of 4 poles and 1,1 kW using the neural rotor flux estimation. The vector speed control operates together with the radial positioning controllers and with the winding currents controllers of the stator phases. For the radial positioning, the forces controlled by the internal machine magnetic fields are used. For the radial forces optimization , a special rotor winding with independent circuits which allows a low rotational torque influence was used. The neural flux estimation applied to the vector speed controls has the objective of compensating the parameter dependences of the conventional estimators in relation to the parameter machine s variations due to the temperature increases or due to the rotor magnetic saturation. The implemented control system allows a direct comparison between the respective responses of the speed and radial positioning controllers to the machine oriented by the neural rotor flux estimator in relation to the conventional flux estimator. All the system control is executed by a program developed in the ANSI C language. The DSP resources used by the system are: the Analog/Digital channels converters, the PWM outputs and the parallel and RS-232 serial interfaces, which are responsible, respectively, by the DSP programming and the data capture through the supervisory system

Estudo de estratégias de otimização para poços de petróleo com elevação por bombeio de cavidades progressivas

The progressing cavity pump artificial lift system, PCP, is a main lift system used in oil production industry. As this artificial lift application grows the knowledge of it s dynamics behavior, the application of automatic control and the developing of equipment selection design specialist systems are more useful. This work presents tools for dynamic analysis, control technics and a specialist system for selecting lift equipments for this artificial lift technology. The PCP artificial lift system consists of a progressing cavity pump installed downhole in the production tubing edge. The pump consists of two parts, a stator and a rotor, and is set in motion by the rotation of the rotor transmitted through a rod string installed in the tubing. The surface equipment generates and transmits the rotation to the rod string. First, is presented the developing of a complete mathematical dynamic model of PCP system. This model is simplified for use in several conditions, including steady state for sizing PCP equipments, like pump, rod string and drive head. This model is used to implement a computer simulator able to help in system analysis and to operates as a well with a controller and allows testing and developing of control algorithms. The next developing applies control technics to PCP system to optimize pumping velocity to achieve productivity and durability of downhole components. The mathematical model is linearized to apply conventional control technics including observability and controllability of the system and develop design rules for PI controller. Stability conditions are stated for operation point of the system. A fuzzy rule-based control system are developed from a PI controller using a inference machine based on Mandami operators. The fuzzy logic is applied to develop a specialist system that selects PCP equipments too. The developed technics to simulate and the linearized model was used in an actual well where a control system is installed. This control system consists of a pump intake pressure sensor, an industrial controller and a variable speed drive. The PI control was applied and fuzzy controller was applied to optimize simulated and actual well operation and the results was compared. The simulated and actual open loop response was compared to validate simulation. A case study was accomplished to validate equipment selection specialist system

Controle vetorial de velocidade de um motor de indução trifásico com estimação neural de fluxo

This work describes the study and the implementation of the speed control for a three-phase induction motor of 1,1 kW and 4 poles using the neural rotor flux estimation. The vector speed control operates together with the winding currents controller of the stator phasis. The neural flux estimation applied to the vector speed controls has the objective of compensating the parameter dependences of the conventional estimators in relation to the parameter machine s variations due to the temperature increases or due to the rotor magnetic saturation. The implemented control system allows a direct comparison between the respective responses of the speed controls to the machine oriented by the neural rotor flux estimator in relation to the conventional flux estimator. All the system control is executed by a program developed in the ANSI C language. The main DSP recources used by the system are, respectively, the Analog/Digital channels converters, the PWM outputs and the parallel and RS-232 serial interfaces, which are responsible, respectively, by the DSP programming and the data capture through the supervisory system

Modelagem de máquina de indução trifásica sem mancais com bobinado dividido

This work presents a model of bearingless induction machine with divided winding. The main goal is to obtain a machine model to use a simpler control system as used in conventional induction machine and to know its behavior. The same strategies used in conventional machines were used to reach the bearingless induction machine model, which has made possible an easier treatment of the involved parameters. The studied machine is adapted from the conventional induction machine, the stator windings were divided and all terminals had been available. This method does not need an auxiliary stator winding for the radial position control which results in a more compact machine. Another issue about this machine is the variation of inductances array also present in result of the rotor displacement. The changeable air-gap produces variation in magnetic flux and in inductances consequently. The conventional machine model can be used for the bearingless machine when the rotor is centered, but in rotor displacement condition this model is not applicable. The bearingless machine has two sets of motor-bearing, both sets with four poles. It was constructed in horizontal position and this increases difficulty in implementation. The used rotor has peculiar characteristics; it is projected according to the stator to yield the greatest torque and force possible. It is important to observe that the current unbalance generated by the position control does not modify the machine characteristics, this only occurs due the radial rotor displacement. The obtained results validate the work; the data reached by a supervisory system corresponds the foreseen results of simulation which verify the model veracity

Motor de indução trifásico sem mancais com bobinado dividido: otimização do sistema de posicionamento radial

This dissertation dea1s with the active magnetic suspension controI system of an induction bearingIess motor configured with split windings. It analyses a dynamic modeI for the radial magnetic forces actuating on the rotor. From that, it proposes a new approach for the composition of the currents imposed to the machine's stator. It shows the tests accomplished with a prototype, proving the usefulness of the new actuating structure for the radial positioning controI. Finnaly, it points out the importance of adapting this structure to well-known rotational controI techniques, continuing this kind of equipment research, which is carried out at Federal University of Rio Grande do Norte since 2000

Controle preditivo bilinear aplicado a um motor de indução

The present work is based on the applied bilinear predictive control applied to an induction motor. As in particular case of the technique based on predictive control in nonlinem systems, these have desperted great interest, a time that present the advantage of being simpler than the non linear in general and most representative one than the linear one. One of the methods, adopted here, uses the linear model "quasi linear for step of time" based in Generalized Predictive Control. The modeling of the induction motor is made by the Vectorial control with orientation given for the indirect rotor. The system is formed by an induction motor of 3 cv with rotor in squirregate, set in motion for a group of benches of tests developed for this work, presented resulted for a variation of +5% in the value of set-point and for a variation of +10% and -10% in the value of the applied nominal load to the motor. The results prove a good efficiency of the predictive bilinear controllers, then compared with the linear cases

Reconhecimento de padrões de falhas em motores trifásicos utilizando redes neurais

This work presents a diagnosis faults system (rotor, stator, and contamination) of three-phase induction motor through equivalent circuit parameters and using techniques patterns recognition. The technology fault diagnostics in engines are evolving and becoming increasingly important in the field of electrical machinery. The neural networks have the ability to classify non-linear relationships between signals through the patterns identification of signals related. It is carried out induction motor´s simulations through the program Matlab R & Simulink R , and produced some faults from modifications in the equivalent circuit parameters. A system is implemented with multiples classifying neural network two neural networks to receive these results and, after well-trained, to accomplish the identification of fault´s pattern

Desenvolvimento de Modelos no Programa DigSILENT PowerFactoryTM para o Estudo de Estabilidade Transitória em Sistemas Elétricos de Potência com Aerogerador

This work presents a description of models development at DigSILENT PowerFactoryT M program for the transient stability study in power systems with wind turbine. The main goal is to make available means to use a dynamic simulation program in power systems, widely published, and utilize it as a tool that helps in programs results evaluations used for this intent. The process of simulations and analyses results starts after the models setting description phase. The results obtained by the DigSILENT PowerFactoryT M and ATP, program chosen to the validation also international recognized, are compared during this phase. The main tools and guide lines of PowerFactoryT M program use are presented here, directing these elements to the solution of the approached problem. For the simulation it is used a real system which it will be connected a wind farm. Two different technologies of wind turbines were implemented: doublyfed induction generator with frequency converter, connecting the rotor to the stator and to the grid, and synchronous wind generator with frequency converter, interconnecting the generator to the grid. Besides presenting the basic conceptions of dynamic simulation, it is described the implemented control strategies and models of turbine and converters. The stability of the wind turbine interconnected to grid is analyzed in many operational conditions, resultant of diverse kinds of disturbances

Sensores e interfaces com aplicações em motor mancal

Relevant researches have been growing on electric machine without mancal or bearing and that is generally named bearingless motor or specifically, mancal motor. In this paper it is made an introductory presentation about bearingless motor and its peripherical devices with focus on the design and implementation of sensors and interfaces needed to control rotor radial positioning and rotation of the machine. The signals from the machine are conditioned in analogic inputs of DSP TMS320F2812 and used in the control program. This work has a purpose to elaborate and build a system with sensors and interfaces suitable to the input and output of DSP TMS320F2812 to control a mancal motor, bearing in mind the modularity, simplicity of circuits, low number of power used, good noise imunity and good response frequency over 10 kHz. The system is tested at a modified ordinary induction motor of 3,7 kVA to be used with a bearingless motor with divided coil