Hartman-Grobman decomposition when in presence of jumps in the relative degree of the dynamics in an energy harvesting device

This work deals with the nonlinear piezoelectric coupling in vibration-based energy harvesting, done by A. Triplett and D.D. Quinn in J. of Intelligent Material Syst. and Structures (2009). In that paper the first order nonlinear fundamental equation has a three dimensional state variable. Introducing both observable and control variables in such a way the controlled system became a SISO system, we can obtain as a corollary that for a particular choice of the observable variable it is possible to present an explicit functional relation between this variable one, and the variable representing the charge harvested. After-by observing that the structure in the Input-Output decomposition essentially changes depending on the relative degree changes, presenting bifurcation branches in its zero dynamics-we are able in to identify this type of bifurcation indicating its close relation with the Hartman - Grobman theorem telling about decomposition into stable and the unstable manifolds for hyperbolic points.

Spin reversal and magnetization jumps in ErMexMn1-xO3 perovskites (Me = Ni, Co)

The erbium-based manganite ErMnO3 has been partially substituted at the manganese site by the transition-metal elements Ni and Co. The perovskite orthorhombic structure is found from x(Ni) = 0.2-0.5 in the nickel-based solid solution ErNixMn1-xO3, while it can be extended up to x(Co) = 0.7 in the case of cobalt, provided that the synthesis is performed under oxygenation conditions to favor the presence of Co3+. Presence of different magnetic entities (i.e., Er3+, Ni2+, Co2+, Co3+, Mn3+, and Mn4+) leads to quite unusual magnetic properties, characterized by the coexistence of antiferromagnetic and ferromagnetic interactions. In ErNixMn1-xO3, a critical concentration x(crit)(Ni) = 1/3 separates two regimes: spin-canted AF interactions predominate at x < x(crit), while the ferromagnetic behavior is enhanced for x > x(crit). Spin reversal phenomena are present both in the nickel- and cobalt-based compounds. A phenomenological model based on two interacting sublattices, coupled by an antiferromagnetic exchange interaction, explains the inversion of the overall magnetic moment at low temperatures. In this model, the ferromagnetic transition-metal lattice, which orders at T-c, creates a strong local field at the erbium site, polarizing the Er moments in a direction opposite to the applied field. At low temperatures, when the contribution of the paramagnetic erbium sublattice, which varies as T-1, gets larger than the ferromagnetic contribution, the total magnetic moment changes its sign, leading to an overall ferrimagnetic state. The half-substituted compound ErCo0.50Mn0.50O3 was studied in detail, since the magnetization loops present two well-identified anomalies: an intersection of the magnetization branches at low fields, and magnetization jumps at high fields. The influence of the oxidizing conditions was studied in other compositions close to the 50/50 = Mn/Co substitution rate. These anomalies are clearly connected to the spin inversion phenomena and to the simultaneous presence of Co2+ and Co3+ magnetic moments. Dynamical aspects should be considered to well identify the high-field anomaly, since it depends on the magnetic field sweep rate. (C) 2006 Elsevier B.V. All rights reserved.

The LQ control problem for Markovian jumps linear systems with horizon defined by stopping times

This paper deals with a stochastic optimal control problem involving discrete-time jump Markov linear systems. The jumps or changes between the system operation modes evolve according to an underlying Markov chain. In the model studied, the problem horizon is defined by a stopping time τ which represents either, the occurrence of a fix number N of failures or repairs (TN), or the occurrence of a crucial failure event (τΔ), after which the system is brought to a halt for maintenance. In addition, an intermediary mixed case for which T represents the minimum between TN and τΔ is also considered. These stopping times coincide with some of the jump times of the Markov state and the information available allows the reconfiguration of the control action at each jump time, in the form of a linear feedback gain. The solution for the linear quadratic problem with complete Markov state observation is presented. The solution is given in terms of recursions of a set of algebraic Riccati equations (ARE) or a coupled set of algebraic Riccati equation (CARE).

Lesões desportivas na ginástica artística: estudo a partir de morbidade referida

INTRODUÇÃO: Os níveis de exigência biomecânica devidos ao alto grau de dificuldade na realização de gestos fazem da ginástica artística (GA) uma modalidade com elevado risco de lesões. Assim, é necessário que os aspectos a elas relacionados sejam controlados. OBJETIVO: Analisar a ocorrência de lesões na Ginástica Artística, associando-as a fatores de risco específicos da modalidade e do atleta, a partir de inquérito de morbidade referida. MÉTODOS: Foram entrevistados 54 ginastas, recrutados ao acaso, classificados segundo o nível competitivo em duas categorias: regional e nacional. Utilizou-se o inquérito de morbidade referida (IMR) com a finalidade de reunir dados sobre a natureza da lesão, região corporal e aparelho ginástico. Os dados foram organizados e apresentados sob a forma de distribuição de freqüências e as variáveis, analisadas segundo nível de associação a partir do teste de Goodman para contrastes entre populações multinomiais, considerando significante o valor P < 0,05. RESULTADOS: Presença de lesão durante a temporada foi relatada por 39 (71,70%) atletas, sendo 22 (56,41%) mulheres e 17 (43,59%) homens. Nas categorias regional masculino e feminino e nacional feminino, a maior ocorrência de lesões foi de origem articular, correspondendo a 55,56%, 50% e 45,45% do total, respectivamente. Para o sexo feminino nacional, os membros inferiores foram os mais referidos (68,18%) e, em ambas as categorias, as lesões ocorreram nos aparelhos de saltos (79,41%), enquanto que no sexo masculino nacional o maior número de agravos foi verificado nos aparelhos de apoio e suspensão (72%). CONCLUSÕES: Há elevada freqüência de lesões, acometendo principalmente articulações e membros inferiores, sendo os aparelhos de saltos os mais referidos quanto à ocorrência de acometimentos. Foi observado também que, quanto maiores as exigências de desempenho técnico, maior a freqüência de lesões.

Exploração de fatores de risco para lesões no atletismo de alta performance

Os fatores de risco para instalação de lesões do esporte têm sido pesquisados no sentido de facilitar o entendimento sobre o assunto. Contudo, para altos níveis de performance, nos eventos de pista e campo do atletismo, são escassos os documentos que abordam o tema. Assim, a partir da possibilidade de reunir informações sobre a condição descrita, objetivou-se com o presente estudo a exploração de fatores de risco para lesões desportivas no atletismo, a partir de inquérito aplicado a atletas da elite mundial da modalidade. A população foi composta por 60 homens e 60 mulheres alocados em grupos conforme a especificidade de sua modalidade (velocidade, resistência, arremessos e saltos). Realizou-se entrevista utilizando-se de inquérito de morbidade referida, abordando questões sobre variáveis antropométricas e de treinamento, assim como lesões. Utilizou-se a técnica da análise de variância paramétrica para as variáveis antropométricas (idade, peso, estatura) e da técnica da análise de variância não paramétrica em relação às variáveis de treinamento (anos de treinamento e horas semanais). Para associação entre momento de lesão e especialidades, utilizou-se do teste de Goodman em nível de 5% de significância. Os resultados mostraram que houve elevada freqüência de lesões na modalidade em ambos os sexos. As taxas de lesão por atleta entrevistado foram de 0,92 (velocidade), 1,08 (resistência), 1,22 (saltos) e 1,20 (arremessos). Não houve diferença estatisticamente significante para as variáveis antropométricas e de treinamento em relação às provas, com exceção dos saltadores, que apresentaram diferenças para estatura e tempo de treinamento; nesse caso, os acometidos são mais altos ou praticam atletismo há menos tempo (P < 0,05). Concluiu-se que, para população estudada, o risco de lesão é acentuado, mas sem relação entre variáveis e presença de agravos, salvo para especialistas em provas de saltos, que apresentaram estatura e tempo de treinamento como fatores predisponentes à lesão.

Lesões desportivas na elite do atletismo brasileiro: estudo a partir de morbidade referida

Os processos de quantificação e associação das lesões do esporte aos seus possíveis fatores causais são importantes para melhor entendimento sobre assunto. Assim constituiu-se como objetivo do presente estudo a observação das lesões desportivas (LD) em atletas da elite brasileira do atletismo, associando-as aos seus mecanismos de instalação e características da modalidade. Foram entrevistados 86 atletas (47 homens e 39 mulheres) convocados para representar o Brasil durante o ano de 2003. Utilizou-se um inquérito de morbidade referida, validado anteriormente, para obtenção dos dados referentes aos atletas e suas lesões. Para a análise dos resultados adotou-se o teste de Goodman para contrastes entre e dentro de proporções binomiais, sendo todas as conclusões discutidas para 5% de significância estatística. Os resultados mostraram que há maior taxa de lesão por atleta (l/a), nas provas combinadas (3,5 l/a), seguidas por eventos de velocidade (2,6 l/a), resistência (1,9 l/a) e saltos (1,9 l/a) respectivamente. O principal mecanismo causal é a alta intensidade acometendo preferencialmente velocistas e fundistas. Outra forte associação foi observada entre lesões musculares e provas de velocidade, que também apresentam preferência para ocorrência de lesão na região da coxa. As atividades com elevada intensidade foram o principal responsável por lesões musculares, enquanto as osteoarticulares e tendinopatias ocorrem com excesso de repetições. Concluiu-se, a partir dos achados, que existem associações entre lesões e fatores causais, como entre provas e lesões, mecanismos de lesão e local anatômico.

Physical environment modulates the behavioral responses induced by chemical stimulation of dorsal periaqueductal gray in mice

In order to investigate the relationship between behaviors elicited by chemical stimulation of the dorsal periaqueductal gray (dorsal PAG) and spontaneous defensive behaviors to a predator, the excitatory amino acid D,L-homocysteic acid (5 nmol in 0.1 mu l), was infused into the dorsal PAG and behavioral responses of mice were evaluated in two different situations, a rectangular novel chamber or the Mouse Defense Test Battery (MDTB) apparatus. During a 1-min period following drug infusion, more jumps were made in the chamber than in the MDTB runway but running time and distance traveled were significantly higher in the runway. Animals were subsequently tested using the standard MDTB procedure (anti-predator avoidance, chase and defensive threat/attack). No drug effects on these measures were significant. In a further test in the MDTB apparatus, the pathway of the mouse during peak locomotion response was blocked 3 times by the predator stimulus (anesthetized rat) to determine if the mouse would avoid contact. Ninety percent of D,L-homocysteic treated animals made direct contact with the stimulus (rat), indicating that D,L-homocysteic-induced running is not guided by relevant (here, threat) stimuli. These results indicate that running as opposed to jumping is the primary response in mice injected with D,L-homocysteic into the dorsal PAG when the environment enables flight. However, the lack of responsivity to the predator during peak locomotion suggests that D,L-homocysteic-stimulation into the dorsal PAG does not induce normal antipredator flight. (c) 2006 Published by Elsevier B.V.

Anelastic spectroscopy in SmBa2Cu3O7

The possibility of variable stoichiometry and the high mobility of oxygen in the CuOx planes of SmBa2Cu3O7 give rise to a rich phase diagram. Measurements of the elastic energy loss and modulus (anelastic spectroscopy) as a function of temperature can distinguish among the different atomic jumps, which occur in the various phases or at different local ordering. In this paper, it is reported anelastic relaxation measurements in SmBa2Cu3O7, above room temperature, using a torsion pendulum operating in frequencies around 40 Hz. The mobility of oxygen atoms in the CuOx planes in the various phases has been discussed and the thermally activated peak of elastic energy dissipation observed around 500 K was interpreted in that framework. (C) 2004 Elsevier B.V. All rights reserved.

Mobilidade de oxigênio intersticial em cerâmicas SmBa2Cu3O7-delta

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

Measurement of oxygen atom diffusion in Nb and Ta by anelastic spectroscopy

Impurity interstitial atoms present in metals with BCC structure can diffuse in the metallic matrix by jumps to energetically equivalent crystallographic sites. Anelastic spectroscopy (internal friction) is based on the measurement of mechanical loss or internal friction as a function of temperature. Due to its selective and nondestructive nature, anelastic spectroscopy is well suited for the study of diffusion of interstitial elements in metals. Internal friction measurements were made using the torsion pendulum technique with oscillation frequency of a few Hz, temperature interval from 300 to 700 K, heating rate of about 1 K/min, and vacuum better than 10-5 mbar. The polycrystalline Nb and Ta samples used were supplied by Aldrich Inc. The results obtained showed thermally activated relaxation structures due to stress-induced ordering of oxygen atoms around the Nb (or Ta) atoms of the metallic matrix. The results were interpreted by three methods and led to activation enthalpy values for the diffusion of oxygen in Nb and Ta of 1.15 eV and 1.10 eV, respectively.

Study of interstitial oxygen mobility in RuSr2GdCu2O8 by internal friction

The discovery of the spatial uniform coexistence of superconductivity and ferromagnetism in ruthenocuprates, RuSr2GdCu2O8 (Ru-1212), has spurred an extraordinary development in the study of the competition between magnetism and superconductivity. However, several points of their preparation process and characterization that determine their superconductive behaviour are still obscure. The improvement of sample preparation conditions involves some thermal treatments in inert atmosphere. Anelastic spectroscopy measurements were made using an inverted torsion pendulum, operating with an oscillation frequency of 38 Hz, temperature in the 90 and 310 K range, heating rate of 1 K/min, and vacuum better than 10(-3) Pa. The results show anelastic relaxation peaks at 210 K related to the presence of interstitial oxygen atoms. The peaks decrease significantly with the oxygen loss caused by the heat treatments in vacuum, appearing again after the annealing of the sample in an oxygen atmosphere. These observed peaks are clearly related to the additional oxygen atoms, with activation energy 0.13 and 0.36 eV, and can be explained in terms by diffusional jumps of interstitial oxygen in the RuO2 planes. (C) 2009 Elsevier B.V. All rights reserved.

Oxygen diffusion in superconducting oxides

Since the discovery of high-temperature superconductivity of cuprate oxides, it has been clear that it is strongly affected by the oxygen content, which is also a crucial factor to determine other physical properties of high T-c superconductors. Non-stoichiometric (interstitial) oxygen strongly influences the physical properties of various superconducting oxides, in particular by creating conducting holes. It is now ascertained that the amount of holes injected depends not only on the content of interstitial oxygen, but also on its ordering. Rearrangement of the oxygen ordering may occur even below room temperature due to the unusual high mobility of these atoms. This way, mechanical spectroscopy is one of the most adequate techniques for the study of the mobility (diffusion) of oxygen atoms. This technique allows the determination of the jump frequency of an atomic species precisely, regardless of the model or the different possible types of jumps. In order to evaluate the mobility and the effect of oxygen content on these oxides, ceramic samples we prepared and submitted to several oxygen removal cycles alternately with mechanical relaxation measurements. As for SBCO, it was assumed that the peak was due to O(1)-O(5) jumps of oxygen atoms at the chain terminals or in chain fragments in the orthorhombic phase. In the case of BSCCO, the results showed complex anelastic relaxation structures, which were attributed to interstitial oxygen atom jumps between two adjacent CuO planes.

Oxygen dynamics and the effects of heat treatments in SBCO samples investigated by mechanical spectroscopy

The compound SmBa(2)Cu(3)O(7-delta) (SBCO)-obtained by substituting rare-earth Sm for Y in the well-known and most studied YBa(2)Cu(3)O(6+delta) (YBCO)-is potentially attractive to study in order to understand the superconductivity mechanism in physics and in electronic device applications. For SBCO, the possibility of variable stoichiometry and the high mobility of oxygen in CuO(x) planes give rise to a rich phase diagram. This study reports on the effect of heat treatments in an oxygen atmosphere on the anelastic properties of this oxide, in which relaxation processes were observed, attributed to oxygen atom jumps present in the Cu-O planes during the orthorhombic phase.

Locomotor performance of closely related Tropidurus species: relationships with physiological parameters and ecological divergence

Tropidurid lizards have colonized a variety of Brazilian open environments without remarkable morphological variation, despite ecological and structural differences among habitats used. This study focuses on two Tropidurus sister-species that, despite systematic proximity and similar morphology, exhibit great ecological divergence and a third ecologically generalist congeneric species providing an outgroup comparison. We quantified jumping capacity and sprint speed of each species on sand and rock to test whether ecological divergence was also accompanied by differences in locomotor performance. Relevant physiological traits possibly associated with locomotor performance metabolic scopes and fiber type composition, power output and activity of the enzymes citrate synthase, pyruvate kinase and lactate dehydrogenase of the iliofibularis muscle - were also compared among the three Tropidurus species. We found that the two sister-species exhibited remarkable differences in jumping performance, while Tropidurus oreadicus, the more distantly related species, exhibited intermediate values. Tropidurus psamonastes, a species endemic to sand dunes, exhibited high absolute sprint speeds on sand, jumped rarely and possessed a high proportion of glycolytic fibers and low activity of citrate synthase. The sister-species Tropidurus itambere, endemic to rocky outcrops, performed a large number of jumps and achieved lower absolute sprint speed than T. psamonastes. This study provides evidence of rapid divergence of locomotor parameters between sister-species that use different substrates, which is only partially explained by variation in physiological parameters of the iliofibularis muscle.