An Optical Fiber Bundle Sensor for Tip Clearance and Tip Timing Measurements in a Turbine Rig

When it comes to measuring blade-tip clearance or blade-tip timing in turbines, reflective intensity-modulated optical fiber sensors overcome several traditional limitations of capacitive, inductive or discharging probe sensors. This paper presents the signals and results corresponding to the third stage of a multistage turbine rig, obtained from a transonic wind-tunnel test. The probe is based on a trifurcated bundle of optical fibers that is mounted on the turbine casing. To eliminate the influence of light source intensity variations and blade surface reflectivity, the sensing principle is based on the quotient of the voltages obtained from the two receiving bundle legs. A discrepancy lower than 3% with respect to a commercial sensor was observed in tip clearance measurements. Regarding tip timing measurements, the travel wave spectrum was obtained, which provides the average vibration amplitude for all blades at a particular nodal diameter. With this approach, both blade-tip timing and tip clearance measurements can be carried out simultaneously. The results obtained on the test turbine rig demonstrate the suitability and reliability of the type of sensor used, and suggest the possibility of performing these measurements in real turbines under real working conditions.

Age and growth of Heterotis niloticus around Pategi in the middle River Niger, Kwara State

Biological studies of Heterotis niloticus were conducted for three years in the middle River Niger. Scales were found to be the most suitable structure in ageing Heterotis which was validated by length/histogram curve. Annual rings were found to be formed between March to June. Growth was rapid in the first two years and they reached sexual maturity at 2 years. The male grow longer while the female are bulkier. The length-weight relationship of male and female Heterotis did not differ significantly and the resulting equation for male was W = 1.25L super(2.5) and W = 1.6L super(2.7) for females respectively where W = weight (g) and L = total length. The total length to body scale relationship was found to be L = 14.3R super(2.6) where (R = oral radius of scale Heterotis growth was found to be allometric

Ecologia de Astyanax taeniatus na Bacia do Rio Mato Grosso, Saquarema - RJ: Dieta, uso do micro-hábitat e uma breve análise comportamental

Neste trabalho tivemos como objetivo caracterizar a dieta, uso do habitat e padrões comportamentais de Astyanax taeniatus da bacia do Rio Mato Grosso, que encontra-se na porção leste do Estado do Rio de Janeiro (22 52 S; 42 40 W e 22 53 S; 42 34 W). Para a análise da dieta, os exemplares foram coletados bimestralmente entre março de 2006 e janeiro de 2007 em três localidades que diferiram pelas variáveis físicas. As observações de uso dos recursos do habitat foram realizadas por observação subaquática, na posição focal dos exemplares avistados, enquanto a quantificação da disponibilidade foi realizada em 50 quadrats de 20x20cm (400cm2) ao longo dos mesmos 50m onde foi realizada a observação sub-aquática. A análise do conteúdo estomacal de 651 exemplares foi realizada sob microscópio estereoscópico de acordo com métodos qualitativos e quantitativos (Freqüência de Ocorrência e Volumétrica). A participação relativa de cada item registrado nos estômagos em relação à totalidade da dieta foi analisada através do Índice Alimentar (IAi). Para verificar possíveis diferenças entre as proporções dos itens de origem animal e vegetal, autóctone e alóctone, os valores proporcionais foram testados pelo 2 de contingência. A partir dos dados de comprimento padrão e comprimento do intestino, foi calculado o valor do quociente intestinal. Os itens de origem vegetal tiveram maior contribuição na dieta da espécie para as localidades com maior altitude, enquanto os itens animais tiveram maior contribuição na localidade baixa. A diferença na contribuição dos itens de origem autóctone e alóctone também foi significativa. Na dieta de jovens e adultos, houve diferença significativa na contribuição de itens de origem vegetal e animal somente na localidade mais alta, onde os adultos consumiram maior quantidade de matéria vegetal. Os valores médios de quociente intestinal em jovens e adultos foram significativamente diferentes nas localidades de maior altitude, com valores maiores para indivíduos adultos. Observamos 52% dos indivíduos em profundidades entre 30 e 45 cm, 72% em áreas de rápido, 72% em velocidades entre 0 e 0,5km/h, 66% encontravam-se distantes da margem entre 40 e 120 cm, 37,6% em substrato do tipo areia e 34,4% em substrato do tipo pedra. De todos os padrões comportamentais observados, aquele que mais se destacou foi o forrageamento, onde 70,91% dos indivíduos estavam forrageando no meio da coluna dágua. Os resultados da dieta reforçam a idéia de as espécies de Astyanax têm hábito alimentar onívoro e oportunista, onde a espécie alimentou-se dos recursos disponíveis no ambiente evidenciando sua alta plasticidade alimentar ao longo do riacho. Espécies do gênero Astyanax são consideradas generalistas em relação ao uso do habitat e altamente ativas, corroborando com os resultados do presente estudo.

Symmetric representation of an integral domain over a subdomain

Let F(θ) be a separable extension of degree n of a field F. Let Δ and D be integral domains with quotient fields F(θ) and F respectively. Assume that Δ ᴝ D. A mapping φ of Δ into the n x n D matrices is called a Δ/D rep if (i) it is a ring isomorphism and (ii) it maps d onto dI_n whenever d ϵ D. If the matrices are also symmetric, φ is a Δ/D symrep.

Every Δ/D rep can be extended uniquely to an F(θ)/F rep. This extension is completely determined by the image of θ. Two Δ/D reps are called equivalent if the images of θ differ by a D unimodular similarity. There is a one-to-one correspondence between classes of Δ/D reps and classes of Δ ideals having an n element basis over D.

The condition that a given Δ/D rep class contain a Δ/D symrep can be phrased in various ways. Using these formulations it is possible to (i) bound the number of symreps in a given class, (ii) count the number of symreps if F is finite, (iii) establish the existence of an F(θ)/F symrep when n is odd, F is an algebraic number field, and F(θ) is totally real if F is formally real (for n = 3 see Sapiro, “Characteristic polynomials of symmetric matrices” Sibirsk. Mat. Ž. 3 (1962) pp. 280-291), and (iv) study the case D = Z, the integers (see Taussky, “On matrix classes corresponding to an ideal and its inverse” Illinois J. Math. 1 (1957) pp. 108-113 and Faddeev, “On the characteristic equations of rational symmetric matrices” Dokl. Akad. Nauk SSSR 58 (1947) pp. 753-754).

The case D = Z and n = 2 is studied in detail. Let Δ’ be an integral domain also having quotient field F(θ) and such that Δ’ ᴝ Δ. Let φ be a Δ/Z symrep. A method is given for finding a Δ’/Z symrep ʘ such that the Δ’ ideal class corresponding to the class of ʘ is an extension to Δ’ of the Δ ideal class corresponding to the class of φ. The problem of finding all Δ/Z symreps equivalent to a given one is studied.

Normal structures and automorphism groups of t-designs

Combinatorial configurations known as t-designs are studied. These are pairs ˂B, ∏˃, where each element of B is a k-subset of ∏, and each t-design occurs in exactly λ elements of B, for some fixed integers k and λ. A theory of internal structure of t-designs is developed, and it is shown that any t-design can be decomposed in a natural fashion into a sequence of “simple” subdesigns. The theory is quite similar to the analysis of a group with respect to its normal subgroups, quotient groups, and homomorphisms. The analogous concepts of normal subdesigns, quotient designs, and design homomorphisms are all defined and used.

This structure theory is then applied to the class of t-designs whose automorphism groups are transitive on sets of t points. It is shown that if G is a permutation group transitive on sets of t letters and ф is any set of letters, then images of ф under G form a t-design whose parameters may be calculated from the group G. Such groups are discussed, especially for the case t = 2, and the normal structure of such designs is considered. Theorem 2.2.12 gives necessary and sufficient conditions for a t-design to be simple, purely in terms of the automorphism group of the design. Some constructions are given.

Finally, 2-designs with k = 3 and λ = 2 are considered in detail. These designs are first considered in general, with examples illustrating some of the configurations which can arise. Then an attempt is made to classify all such designs with an automorphism group transitive on pairs of points. Many cases are eliminated of reduced to combinations of Steiner triple systems. In the remaining cases, the simple designs are determined to consist of one infinite class and one exceptional case.

Caracterização de imagens de microtomografia de raios X baseada em descritores de textura

A microtomografia computadorizada (computed microtomography - μCT) permite uma análise não destrutiva de amostras, além de possibilitar sua reutilização. A μCT permite também a reconstrução de objetos tridimensionais a partir de suas seções transversais que são obtidas interceptando a amostra através de planos paralelos. Equipamentos de μCT oferecem ao usuário diversas opções de configurações que alteram a qualidade das imagens obtidas afetando, dessa forma, o resultado esperado. Nesta tese foi realizada a caracterização e análise de imagens de μCT geradas pelo microtomógrafo SkyScan1174 Compact Micro-CT. A base desta caracterização é o processamento de imagens. Foram aplicadas técnicas de realce (brilho, saturação, equalização do histograma e filtro de mediana) nas imagens originais gerando novas imagens e em seguida a quantificação de ambos os conjuntos, utilizando descritores de textura (probabilidade máxima, momento de diferença, momento inverso de diferença, entropia e uniformidade). Os resultados mostram que, comparadas às originais, as imagens que passaram por técnicas de realce apresentaram melhoras quando gerados seus modelos tridimensionais.

Desenvolvimento de ferramenta computacional para metrologia com microtomografia computadorizada

Esta tese apresentada uma proposta de desenvolvimento de uma ferramenta computacional para metrologia com microtomografia computadorizada que possa ser implantada em sistemas de microtomógrafos convencionais. O estudo concentra-se nas diferentes técnicas de detecção de borda utilizadas em processamento de imagens digitais.Para compreender a viabilidade do desenvolvimento da ferramenta optou-se por utilizar o Matlab 2010a. A ferramenta computacional proposta é capaz de medir objetos circulares e retangulares. As medidas podem ser horizontais ou circulares, podendo ser realizada várias medidas de uma mesma imagem, uma medida de várias imagens ou várias medidas de várias imagens. As técnicas processamento de imagens digitais implementadas são a limiarização global com escolha do threshold manualmente baseado no histograma da imagem ou automaticamente pelo método de Otsu, os filtros de passa-alta no domínio do espaço Sobel, Prewitt, Roberts, LoG e Canny e medida entre os picos mais externos da 1 e 2 derivada da imagem. Os resultados foram validados através de comparação com os resultados de teste realizados pelo Laboratório de Ensaios Mecânicos e Metrologia (LEMec) do Intstituto Politécnico do Rio de Janeiro (IPRJ), Universidade do Estado do Rio de Janeiro (UERJ), Nova Friburdo- RJ e pelo Serviço Nacional da Indústria Nova Friburgo (SENAI/NF). Os resultados obtidos pela ferramenta computacional foram equivalentes aos obtidos com os instrumentos de medição utilizados, demonstrando à viabilidade de utilização da ferramenta computacional a metrologia.

Pothole detection in asphalt pavement images

Pavement condition assessment is essential when developing road network maintenance programs. In practice, the data collection process is to a large extent automated. However, pavement distress detection (cracks, potholes, etc.) is mostly performed manually, which is labor-intensive and time-consuming. Existing methods either rely on complete 3D surface reconstruction, which comes along with high equipment and computation costs, or make use of acceleration data, which can only provide preliminary and rough condition surveys. In this paper we present a method for automated pothole detection in asphalt pavement images. In the proposed method an image is first segmented into defect and non-defect regions using histogram shape-based thresholding. Based on the geometric properties of a defect region the potential pothole shape is approximated utilizing morphological thinning and elliptic regression. Subsequently, the texture inside a potential defect shape is extracted and compared with the texture of the surrounding non-defect pavement in order to determine if the region of interest represents an actual pothole. This methodology has been implemented in a MATLAB prototype, trained and tested on 120 pavement images. The results show that this method can detect potholes in asphalt pavement images with reasonable accuracy.

Defects Detection and Assessment in Concrete Surfaces

Aside from cracks, the impact of other surface defects, such as air pockets and discoloration, can be detrimental to the quality of concrete in terms of strength, appearance and durability. For this reason, local and national codes provide standards for quantifying the quality impact of these concrete surface defects and owners plan for regular visual inspections to monitor surface conditions. However, manual visual inspection of concrete surfaces is a qualitative (and subjective) process with often unreliable results due to its reliance on inspectors’ own criteria and experience. Also, it is labor intensive and time-consuming. This paper presents a novel, automated concrete surface defects detection and assessment approach that addresses these issues by automatically quantifying the extent of surface deterioration. According to this approach, images of the surface shot from a certain angle/distance can be used to automatically detect the number and size of surface air pockets, and the degree of surface discoloration. The proposed method uses histogram equalization and filtering to extract such defects and identify their properties (e.g. size, shape, location). These properties are used to quantify the degree of impact on the concrete surface quality and provide a numerical tool to help inspectors accurately evaluate concrete surfaces. The method has been implemented in C++ and results that validate its performance are presented.

Detection of Construction Workers in Video Frames for Automatic Initialization of Vision Trackers

Vision based tracking can provide the spatial location of construction entities such as equipment, workers, and materials in large scale, congested construction sites. It tracks entities in video streams by inferring their locations based on the entities’ visual features and motion histories. To initiate the process, it is necessary to determine the pixel areas corresponding to the construction entities to be tracked in the following consecutive video frames. In order to fully automate the process, an automated way of initialization is needed. This paper presents the method for construction worker detection which can automatically recognize and localize construction workers in video frames. The method first finds the foreground areas of moving objects using a background subtraction method. Within these foreground areas, construction workers are recognized based on the histogram of oriented gradients (HOG) and histogram of the HSV colors. HOG’s have proved to work effectively for detection of people, and the histogram of HSV colors helps differentiate between pedestrians and construction workers wearing safety vests. Preliminary experiments show that the proposed method has the potential to automate the initialization process of vision based tracking.

Construction Worker Detection in Video Frames for Initializing Vision Trackers

Monitoring the location of resources on large scale, congested, outdoor sites can be performed more efficiently with vision tracking, as this approach does not require any pre-tagging of resources. However, the greatest impediment to the use of vision tracking in this case is the lack of detection methods that are needed to automatically mark the resources of interest and initiate the tracking. This paper presents such a novel method for construction worker detection that localizes construction workers in video frames. The proposed method exploits motion, shape, and color cues to narrow down the detection regions to moving objects, people, and finally construction workers, respectively. The three cues are characterized by using background subtraction, the histogram of oriented gradients (HOG), and the HSV color histogram. The method has been tested on videos taken in various environments. The results demonstrate its suitability for automatic initialization of vision trackers.

Low-rank optimization on the cone of positive semidefinite matrices

We propose an algorithm for solving optimization problems defined on a subset of the cone of symmetric positive semidefinite matrices. This algorithm relies on the factorization X = Y Y T , where the number of columns of Y fixes an upper bound on the rank of the positive semidefinite matrix X. It is thus very effective for solving problems that have a low-rank solution. The factorization X = Y Y T leads to a reformulation of the original problem as an optimization on a particular quotient manifold. The present paper discusses the geometry of that manifold and derives a second-order optimization method with guaranteed quadratic convergence. It furthermore provides some conditions on the rank of the factorization to ensure equivalence with the original problem. In contrast to existing methods, the proposed algorithm converges monotonically to the sought solution. Its numerical efficiency is evaluated on two applications: the maximal cut of a graph and the problem of sparse principal component analysis. © 2010 Society for Industrial and Applied Mathematics.

Riemannian metric and geometric mean for positive semidefinite matrices of fixed rank

This paper introduces a new metric and mean on the set of positive semidefinite matrices of fixed-rank. The proposed metric is derived from a well-chosen Riemannian quotient geometry that generalizes the reductive geometry of the positive cone and the associated natural metric. The resulting Riemannian space has strong geometrical properties: it is geodesically complete, and the metric is invariant with respect to all transformations that preserve angles (orthogonal transformations, scalings, and pseudoinversion). A meaningful approximation of the associated Riemannian distance is proposed, that can be efficiently numerically computed via a simple algorithm based on SVD. The induced mean preserves the rank, possesses the most desirable characteristics of a geometric mean, and is easy to compute. © 2009 Society for Industrial and Applied Mathematics.

Continuous-time subspace flows related to the symmetric eigenproblem

The classes of continuous-time flows on Rn×p that induce the same flow on the set of p- dimensional subspaces of Rn×p are described. The power flow is briefly reviewed in this framework, and a subspace generalization of the Rayleigh quotient flow [Linear Algebra Appl. 368C, 2003, pp. 343-357] is proposed and analyzed. This new flow displays a property akin to deflation in finite time. © 2008 Yokohama Publishers.

Free energy surface reconstruction from umbrella samples using Gaussian process regression II: Multiple collective variables

We demonstrate how a prior assumption of smoothness can be used to enhance the reconstruction of free energy profiles from multiple umbrella sampling simulations using the Bayesian Gaussian process regression approach. The method we derive allows the concurrent use of histograms and free energy gradients and can easily be extended to include further data. In Part I we review the necessary theory and test the method for one collective variable. We demonstrate improved performance with respect to the weighted histogram analysis method and obtain meaningful error bars without any significant additional computation. In Part II we consider the case of multiple collective variables and compare to a reconstruction using least squares fitting of radial basis functions. We find substantial improvements in the regimes of spatially sparse data or short sampling trajectories. A software implementation is made available on www.libatoms.org.