Physics based basis function for vibration analysis of high speed rotating beams

The natural frequencies of continuous systems depend on the governing partial differential equation and can be numerically estimated using the finite element method. The accuracy and convergence of the finite element method depends on the choice of basis functions. A basis function will generally perform better if it is closely linked to the problem physics. The stiffness matrix is the same for either static or dynamic loading, hence the basis function can be chosen such that it satisfies the static part of the governing differential equation. However, in the case of a rotating beam, an exact closed form solution for the static part of the governing differential equation is not known. In this paper, we try to find an approximate solution for the static part of the governing differential equation for an uniform rotating beam. The error resulting from the approximation is minimized to generate relations between the constants assumed in the solution. This new function is used as a basis function which gives rise to shape functions which depend on position of the element in the beam, material, geometric properties and rotational speed of the beam. The results of finite element analysis with the new basis functions are verified with published literature for uniform and tapered rotating beams under different boundary conditions. Numerical results clearly show the advantage of the current approach at high rotation speeds with a reduction of 10 to 33% in the degrees of freedom required for convergence of the first five modes to four decimal places for an uniform rotating cantilever beam.

Interações do lantânio com células livres e imobilizadas em alginato em regimes de batelada e contínuo

Este trabalho teve como objetivo descrever o potencial de biossorção de lantânio pelas microalgas Ankistrodesmus sp. e Golenkinia sp. livres e pellets de alginato de cálcio, com e sem as microalgas imobilizadas, a partir de soluções aquosas. Para isso foram realizados estudos em regime batelada e em coluna de leito fixo. Modelos cinéticos de pseudo-primeira ordem e de segunda ordem e isotermas de equilíbrio de Langmuir e de Freundlich foram utilizados para a descrição quantitativa e a previsão do comportamento de adsorção do metal pelas biomassas livres e imobilizadas no sistema descontínuo. Os dados foram mais bem ajustados pelo modelo cinético de segunda ordem, com coeficientes de determinação (r2) maiores que 0,98. Foram obtidos tempos de equilibrio muito curtos, na faixa de 1-30 minutos. A isoterma de Langmuir foi a que melhor se ajustou aos dados experimentais, com valores de r2 maiores que 0,94. Foram observados valores de qmáx, isto é, a quantidade máxima de metal captado pelo biossorvente, entre 0,96 e 10,43 mmol/g. As células livres mostraram-se mais eficientes do que os pellets caracterizados com e sem os micro-organismos. Os pellets mostraram melhor potencial quando contendo microalgas imobilizadas, em comparação com eles puros. No estudo dinâmico, 12 L de solução contendo uma concentração de La (III) de 150 mmol/L ascenderam pela coluna contendo Ankistrodesmus sp. e Golenkinia sp. imobilizadas e pellets de alginato de cálcio puros durante 8 horas. No último minuto, os três biossorventes ainda apresentaram cerca de 80% de eficiência de remoção. Desta forma, o ponto de satuação não foi atingido. A rápida e alta capacidade de adsorção das microalgas revelou que sua aplicação em escala superior é possível em ambos os processos estudados, uma vez que a imobilização desses biomateriais não mudou a sua capacidade de sorção e nem o rápido contato entre o adsorvente e o soluto no processo de biossorção de lantânio

Robust variable horizon MPC with move blocking

This paper introduces a new formulation of variable horizon model predictive control (VH-MPC) that utilises move blocking for reducing computational complexity. Various results pertaining to move blocking are derived, following which, a generalised blocked VH-MPC controller is formulated for linear discrete-time systems. Robustness to bounded disturbances is ensured through the use of tightened constraints. The resulting time-varying control scheme is shown to guarantee robust recursive feasibility and finite-time completion. An example is then presented for a particular choice of blocking regime, as would be applicable to vehicle manœuvring problems. Simulations demonstrate the efficacy of the formulation. © 2012 Elsevier B.V. All rights reserved.

Robust predictive control with feasible contingencies for fault tolerance

This paper introduces the notion of M-step robust fault tolerance for discrete-time systems where finite-time completion of a control manoeuvre is desired. It considers a scenario with two distinct objectives; a primary and secondary target are specified as sets to be reached in finite-time, whilst satisfying operating constraints on the states and inputs. The primary target is switched to the secondary target when a fault affects the system. As it is unknown when or if the fault will occur, the trajectory to the primary target is constrained to ensure reachability of the secondary target within M steps. A variable-horizon linear MPC formulation is developed to illustrate the concept. The formulation is then extended to provide robustness to bounded disturbances by use of tightened constraints. Simulations demonstrate the efficacy of the controller formulation on a double-integrator model. © 2011 IFAC.

A design strategy in the propulsion system attachment to a submarine hull to minimise radiated noise

Vibration modes of a submerged hull are excited by fluctuating forces generated at the propeller and transmitted to the hull via the propeller-shafting system. The low frequency hull vibrational modes result in significant sound radiation. This work investigates the reduction of the far-field radiated sound pressure by optimising the connection point of the shafting system to the hull. The submarine hull is modelled as a fluid loaded cylindrical hull with truncated conical shells at each end. The propeller-shafting system consists of the propeller, shaft, thrust bearing and foundation, and is modelled in a modular approach using a combination of spring-mass-damper elements and continuous systems (beams, plates, shells). The foundation is attached to the stern side end plate of the hull, which is modelled as a circular plate coupled to an annular plate. By tuning the connection radius of the foundation to the end plate, the maximum radiated noise in a given frequency range can be minimised.

A derivation of the source-channel error exponent using nonidentical product distributions

This paper studies the random-coding exponent of joint source-channel coding for a scheme where source messages are assigned to disjoint subsets (referred to as classes), and codewords are independently generated according to a distribution that depends on the class index of the source message. For discrete memoryless systems, two optimally chosen classes and product distributions are found to be sufficient to attain the sphere-packing exponent in those cases where it is tight. © 2014 IEEE.

Parallels plane projection and its geometric features

A new equivalent map projection called the parallels plane projection is proposed in this paper. The transverse axis of the parallels plane projection is the expansion of the equator and its vertical axis equals half the length of the central meridian. On the parallels plane projection, meridians are projected as sine curves and parallels are a series of straight, parallel lines. No distortion of length occurs along the central meridian or on any parallels of this projection. Angular distortion and the proportion of length along meridians (except the central meridian) introduced by the projection transformation increase with increasing longitude and latitude. A potential application of the parallels plane projection is that it can provide an efficient projection transformation for global discrete grid systems.

计算机辅助带时延多变量系统的离散控制设计

本文将Smith预估技术与逆 Nyquist 阵列法结合对多时延多变量对象进行离散控制系统设计,采用这种方法设计出的控制器易用计算机实现,系统仿真结果也是令人满意的。

Positive dilations of piecewise monotonic Markov maps

We provide an explicit formula which gives natural extensions of piecewise monotonic Markov maps defined on an interval of the real line. These maps are exact endomorphisms and define chaotic discrete dynamical systems.

Role of Nuclear Angiotensin-II Receptor Mediated Signalling in Cardiovascular Remodelling

Le remodelage cardiaque est le processus par lequel la structure ou la fonction cardiaque change en réponse à un déséquilibre pathophysiologique tel qu'une maladie cardiaque, un contexte d'arythmie prolongée ou une modification de l'équilibre hormonal. Le système rénine-angiotensine (SRA) est un système hormonal largement étudié et il est impliqué dans de nombreuses activités associées au remodelage cardiovasculaire. L’existence d'un système circulatoire couplé à un système de tissus locaux est une représentation classique, cependant de nouvelles données suggèrent un SRA indépendant et fonctionnellement actif à l'échelle cellulaire. La compréhension de l'activité intracellulaire du SRA pourrait mener à de nouvelles pistes thérapeutiques qui pourraient prévenir un remodelage cardiovasculaire défavorable. L'objectif de cette thèse était d'élucider le rôle du SRA intracellulaire dans les cellules cardiaques. Récemment, les récepteurs couplés aux protéines G (RCPG), les protéines G et leurs effecteurs ont été détectés sur des membranes intracellulaires, y compris sur la membrane nucléaire, et les concepts de RCPG intracellulaires fonctionnels sont en voie d'être acceptés comme une réalité. Nous avons dès lors fait l'hypothèse que la signalisation du SRA délimitant le noyau était impliquée dans le contrôle de l'expression des gènes cardiaques. Nous avons démontré la présence de récepteurs d'angiotensine de type-1 (AT1R) et de type-2 (AT2R) nucléaires dans les cardiomyocytes ventriculaires adultes et dans une fraction nucléaire purifiée de tissu cardiaque. Des quantités d'Ang II ont été détectées dans du lysat de cardiomyocytes et des microinjections d'Ang-II-FITC ont donné lieu à des liaisons préférentielles aux sites nucléaires. L'analyse transcriptionnelle prouve que la synthèse d'ARN de novo dans des noyaux isolés stimulés à l'Ang-II, et l'expression des ARNm de NF-κB étaient beaucoup plus importants lorsque les noyaux étaient exposés à de l'Ang II par rapport aux cardiomyocytes intacts. La stimulation des AT1R nucléaires a engendré une mobilisation de Ca2+ via les récepteurs de l'inositol trisphosphate (IP3R), et le blocage des IP3R a diminué la réponse transcriptionnelle. Les méthodes disponibles actuellement pour l'étude de la signalisation intracrine sont limitées aux méthodes indirectes. L'un des objectifs de cette thèse était de synthétiser et caractériser des analogues d'Ang-II cellule-perméants afin d’étudier spécifiquement dans les cellules intactes l'activité intracellulaire du SRA. Nous avons synthétisé et caractérisé pharmacologiquement des analogues photosensibles Ang-II encapsulée en incorporant un groupement 4,5-diméthoxy-2-nitrobenzyl (DMNB) photoclivable sur les sites actifs identifiés du peptide. Chacun des trois analogues d'Ang II encapsulée synthétisés et purifiés: [Tyr(DMNB)4]Ang-II, Ang-II-ODMNB et [Tyr(DMNB)4]Ang-II-ODMNB a montré une réduction par un facteur deux ou trois de l'affinité de liaison envers AT1R et AT2R dans les dosages par liaison compétitive et une activité réduite dans la contraction de l'aorte thoracique. La photostimulation de [Tyr(DMNB)4]Ang-II dans des cellules HEK a augmenté la phosphorylation d'ERK1/2 (via AT1R) et la production de cGMP (via AT2R) alors que dans les cardiomyocytes isolés elle générait une augmentation de Ca2+ nucléoplasmique et initiait la synthèse d'ARNr 18S et d'ARNm du NF-κB. Les fibroblastes sont les principaux générateurs de remodelage cardiaque structurel, et les fibroblastes auriculaires sont plus réactifs aux stimuli profibrotiques que les fibroblastes ventriculaires. Nous avons émis l'hypothèse que l’Ang-II intracellulaire et l'activation des AT1R et AT2R nucléaires associés contrôlaient les profils d'expression des gènes des fibroblastes via des systèmes de signalisation distincts et de ce fait jouaient un rôle majeur dans le développement de la fibrose cardiaque. Nous avons remarqué que les fibroblastes auriculaires expriment l’AT1R et l’AT2R nucléaire et l'Ang-II au niveau intracellulaire. L’expression d'AT1R nucléaire a été régulés positivement dans les cas d’insuffisance cardiaque (IC), tandis que l'AT2R nucléaire a été glycosylé post-traductionnellement. La machinerie protéique des protéines G, y compris Gαq/11, Gαi/3, et Gβ, a été observée dans des noyaux isolés de fibroblastes. AT1R et AT2R régulent l'initiation de la transcription du fibroblaste via les voies de transduction de signal d'IP3R et du NO. La photostimulation de [Tyr(DMNB)4]Ang-II dans une culture de fibroblastes auriculaire déclenche la libération de Ca2+ nucléoplasmique, la prolifération, et la synthèse et sécrétion de collagène qui ne sont pas inhibées par les bloqueurs d'AT1R et/ou AT2R extracellulaires.

Investigations on the Dynamics of Combination Maps and the Analysis of Bifurcation in a Discontinuous Logistic Map

This thesis is a study of discrete nonlinear systems represented by one dimensional mappings.As one dimensional interative maps represent Poincarre sections of higher dimensional flows,they offer a convenient means to understand the dynamical evolution of many physical systems.It highlighting the basic ideas of deterministic chaos.Qualitative and quantitative measures for the detection and characterization of chaos in nonlinear systems are discussed.Some simple mathematical models exhibiting chaos are presented.The bifurcation scenario and the possible routes to chaos are explained.It present the results of the numerical computational of the Lyapunov exponents (λ) of one dimensional maps.This thesis focuses on the results obtained by our investigations on combinations maps,scaling behaviour of the Lyapunov characteristic exponents of one dimensional maps and the nature of bifurcations in a discontinous logistic map.It gives a review of the major routes to chaos in dissipative systems,namely, Period-doubling ,Intermittency and Crises.This study gives a theoretical understanding of the route to chaos in discontinous systems.A detailed analysis of the dynamics of a discontinous logistic map is carried out, both analytically and numerically ,to understand the route it follows to chaos.The present analysis deals only with the case of the discontinuity parameter applied to the right half of the interval of mapping.A detailed analysis for the n –furcations of various periodicities can be made and a more general theory for the map with discontinuities applied at different positions can be on a similar footing

Fractal structures in nonlinear plasma physics

Fractal structures appear in many situations related to the dynamics of conservative as well as dissipative dynamical systems, being a manifestation of chaotic behaviour. In open area-preserving discrete dynamical systems we can find fractal structures in the form of fractal boundaries, associated to escape basins, and even possessing the more general property of Wada. Such systems appear in certain applications in plasma physics, like the magnetic field line behaviour in tokamaks with ergodic limiters. The main purpose of this paper is to show how such fractal structures have observable consequences in terms of the transport properties in the plasma edge of tokamaks, some of which have been experimentally verified. We emphasize the role of the fractal structures in the understanding of mesoscale phenomena in plasmas, such as electromagnetic turbulence.

Metodologia para modelagem, validação e programação de controladores lógicos industriais usando statecharts básicos

Due of industrial informatics several attempts have been done to develop notations and semantics, which are used for classifying and describing different kind of system behavior, particularly in the modeling phase. Such attempts provide the infrastructure to resolve some real problems of engineering and construct practical systems that aim at, mainly, to increase the productivity, quality, and security of the process. Despite the many studies that have attempted to develop friendly methods for industrial controller programming, they are still programmed by conventional trial-and-error methods and, in practice, there is little written documentation on these systems. The ideal solution would be to use a computational environment that allows industrial engineers to implement the system using high-level language and that follows international standards. Accordingly, this work proposes a methodology for plant and control modelling of the discrete event systems that include sequential, parallel and timed operations, using a formalism based on Statecharts, denominated Basic Statechart (BSC). The methodology also permits automatic procedures to validate and implement these systems. To validate our methodology, we presented two case studies with typical examples of the manufacturing sector. The first example shows a sequential control for a tagged machine, which is used to illustrated dependences between the devices of the plant. In the second example, we discuss more than one strategy for controlling a manufacturing cell. The model with no control has 72 states (distinct configurations) and, the model with sequential control generated 20 different states, but they only act in 8 distinct configurations. The model with parallel control generated 210 different states, but these 210 configurations act only in 26 distinct configurations, therefore, one strategy control less restrictive than previous. Lastly, we presented one example for highlight the modular characteristic of our methodology, which it is very important to maintenance of applications. In this example, the sensors for identifying pieces in the plant were removed. So, changes in the control model are needed to transmit the information of the input buffer sensor to the others positions of the cell

Identification of structural parameters for active vibration control

The study of algorithms for active vibration control in flexible structures became an area of enormous interest for some researchers due to the innumerable requirements for better performance in mechanical systems, as for instance, aircrafts and aerospace structures. Intelligent systems, constituted for a base structure with sensors and actuators connected, are capable to guarantee the demanded conditions, through the application of diverse types of controllers. For the project of active controllers it is necessary, in general, to know a mathematical model that enable the representation in the space of states, preferential in modal coordinates to permit the truncation of the system and reduction in the order of the controllers. For practical applications of engineering, some mathematical models based in discrete-time systems cannot represent the physical problem, therefore, techniques of identification of system parameters must be used. The techniques of identification of parameters determine the unknown values through the manipulation of the input (disturbance) and output (response) signals of the system. Recently, some methods have been proposed to solve identification problems although, none of them can be considered as being universally appropriate to all the situations. This paper is addressed to an application of linear quadratic regulator controller in a structure where the damping, stiffness and mass matrices were identified through Chebyshev's polynomial functions.

Petri nets teaching in the Mechatronics Engineering course

The current solutions implanted in the majority of manufacturing systems controlled by PLCs were developed through the language of programming known as ladder. Such a language, easily learned and handled, shows to be efficient whenever the system to be implanted does not demand greater complexity of analyses. Bigger systems, presenting characteristics in which resource compartments, parallelism and synchronizing among processes are more frequent, demand the adoption of solutions differentiation. This article presents a teaching experience and practical application of Petri nets in a Mechatronics Engineering graduation course. Copyright © 2007 IFAC.