Integral formulae for a Riemannian manifold with a distribution

We obtain a new series of integral formulae for symmetric functions of curvature of a distribution of arbitrary codimension (an its orthogonal complement) given on a compact Riemannian manifold, which start from known formula by P.Walczak (1990) and generalize ones for foliations by several authors: Asimov (1978), Brito, Langevin and Rosenberg (1981), Brito and Naveira (2000), Andrzejewski and Walczak (2010), etc. Our integral formulae involve the co-nullity tensor, certain component of the curvature tensor and their products. The formulae also deal with a number of arbitrary functions depending on the scalar invariants of the co-nullity tensor. For foliated manifolds of constant curvature the obtained formulae give us the classical type formulae. For a special choice of functions our formulae reduce to ones with Newton transformations of the co-nullity tensor.

On a Class of Generalized Elliptic-type Integrals

The aim of this paper is to study a generalized form of elliptic-type integrals which unify and extend various families of elliptic-type integrals studied recently by several authors. In a recent communication [1] we have obtained recurrence relations and asymptotic formula for this generalized elliptic-type integral. Here we shall obtain some more results which are single and multiple integral formulae, differentiation formula, fractional integral and approximations for this class of generalized elliptic-type integrals.

Aplicação da transformada integral generalizada no escoamento potencial em contrações

Pós-graduação em Engenharia Mecânica - FEIS

A Cauchy Integral Related to a Robot-safety Device System

We introduce a robot-safety device system attended by two different repairmen. The twin system is characterized by the natural feature of cold standby and by an admissible “risky” state. In order to analyse the random behaviour of the entire system (robot, safety device, repair facility) we employ a stochastic process endowed with probability measures satisfying general Hokstad-type differential equations. The solution procedure is based on the theory of sectionally holomorphic functions, characterized by a Cauchy-type integral defined as a Cauchy principal value in double sense. An application of the Sokhotski-Plemelj formulae determines the long-run availability of the robot-safety device. Finally, we consider the particular but important case of deterministic repair.

Analytical formulae for electromechanical effective properties of 3-1 longitudinally porous piezoelectric materials

A unidirectional fiber composite is considered here, the fibers of which are empty cylindrical holes periodically distributed in a transversely isotropic piezoelectric matrix, The empty-fiber cross-section is circular and the periodicity is the same in two directions at an angle pi/2 or pi/3. Closed-form formulae for all electromechanical effective properties of these 3-1 longitudinally periodic porous piezoelectric materials are presented. The derivation of such expressions is based on the asymptotic homogenization method as a limit of the effective properties of two-phase transversely isotropic parallel fiber-reinforced composites when the fibers properties tend to zero. The plane effective coefficients satisfy the corresponding Schulgasser-Benveniste-Dvorak universal type of relations, A new relation among the antiplane effective constants from the solutions of two antiplane strains and potential local problems is found. This relation is valid for arbitrary shapes of the empty-fiber cross-sections. Based on such a relation, and using recent numerical results for isotropic conductive composites, the antiplane effective properties are computed for different geometrical shapes of the empty-fiber cross-section. Comparisons with other analytical and numerical theories are presented. (c) 2008 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.

Integral Piezoactuator System with Optimum Placement of Functionally Graded Material - A Topology Optimization Paradigm

Piezoactuators consist of compliant mechanisms actuated by two or more piezoceramic devices. During the assembling process, such flexible structures are usually bonded to the piezoceramics. The thin bonding layer(s) between the compliant mechanism and the piezoceramic may induce undesirable behavior, including unusual interfacial nonlinearities. This constitutes a drawback of piezoelectric actuators and, in some applications, such as those associated to vibration control and structural health monitoring (e. g., aircraft industry), their use may become either unfeasible or at least limited. A possible solution to this standing problem can be achieved through the functionally graded material concept and consists of developing `integral piezoactuators`, that is those with no bonding layer(s) and whose performance can be improved by tailoring their structural topology and material gradation. Thus, a topology optimization formulation is developed, which allows simultaneous distribution of void and functionally graded piezoelectric materials (including both piezo and non-piezoelectric materials) in the design domain in order to achieve certain specified actuation movements. Two concurrent design problems are considered, that is the optimum design of the piezoceramic property gradation, and the design of the functionally graded structural topology. Two-dimensional piezoactuator designs are investigated because the applications of interest consist of planar devices. Moreover, material gradation is considered in only one direction in order to account for manufacturability issues. To broaden the range of such devices in the field of smart structures, the design of integral Moonie-type functionally graded piezoactuators is provided according to specified performance requirements.

Calculation of line integrals in boundary integral methods

We propose quadrature rules for the approximation of line integrals possessing logarithmic singularities and show their convergence. In some instances a superconvergence rate is demonstrated.

A finite integral transform technique for solving the diffusion-reaction equation with Michaelis-Menten kinetics

An approximate analytical technique employing a finite integral transform is developed to solve the reaction diffusion problem with Michaelis-Menten kinetics in a solid of general shape. A simple infinite series solution for the substrate concentration is obtained as a function of the Thiele modulus, modified Sherwood number, and Michaelis constant. An iteration scheme is developed to bring the approximate solution closer to the exact solution. Comparison with the known exact solutions for slab geometry (quadrature) and numerically exact solutions for spherical geometry (orthogonal collocation) shows excellent agreement for all values of the Thiele modulus and Michaelis constant.

Is the irritable bladder associated with anterior compartment relaxation? A critical look at the 'integral theory of pelvic floor dysfunction'

The 'integral theory of pelvic floor dysfunction', first proposed by Petros and Ulmsten in 1990, claims that anterior vaginal wall relaxation is associated with symptoms of urgency, frequency, nocturia and urge incontinence. A retrospective study was designed to test this hypothesis. Imaging data and urodynamic reports from 272 women suffering from symptoms of lower urinary tract dysfunction were evaluated. Opening of the retrovesical angle, bladder neck descent, urethral rotation and descent of a cystocele during Valsalva were used to quantify anterior vaginal wall laxity None of the tested parameters were associated with symptoms and signs of detrusor overactivity. On the contrary, patients with higher grades of urethral and bladder descent were less likely to suffer from nocturia and urge incontinence and were less likely to leave sensory urgency and detrusor instability diagnosed on urodynamic testing. The findings of this study therefore do not support this hypothesis of the 'integral theory'.

Theory and applications of fuzzy Volterra integral equations

Formulations of fuzzy integral equations in terms of the Aumann integral do not reflect the behavior of corresponding crisp models. Consequently, they are ill-adapted to describe physical phenomena, even when vagueness and uncertainty are present. A similar situation for fuzzy ODEs has been obviated by interpretation in terms of families of differential inclusions. The paper extends this formalism to fuzzy integral equations and shows that the resulting solution sets and attainability sets are fuzzy and far better descriptions of uncertain models involving integral equations. The investigation is restricted to Volterra type equations with mildly restrictive conditions, but the methods are capable of extensive generalization to other types and more general assumptions. The results are illustrated by integral equations relating to control models with fuzzy uncertainties.

Educação infantil em jornada de tempo integral : dilemas e perspectivas

Vania Carvalho de Araújo (Org.)

Estudantes público-alvo da educação especial na educação em tempo integral : um estudo em Vitória-ES

Este estudo tem como tema “Estudantes Público-Alvo da Educação Especial na Educação em Tempo Integral no Município de Vitoria-ES”. Seu objetivo geral foi investigar os modos de atendimento aos estudantes público-alvo da Educação Especial do Programa Educação em Tempo Integral – Educação Ampliada, oferecido pelo ensino público municipal nas Escolas de Ensino Fundamental (EMEFs) do município de Vitória, pela fala dos gestores e executores do programa. Seus objetivos específicos foram compreender a configuração da proposta de Educação em Tempo Integral – Educação Ampliada no município de Vitória-ES; caracterizar o conjunto de estudantes público-alvo da Educação Especial participantes do Programa Educação em Tempo Integral – Educação Ampliada no município; compreender os sentidos e significados da inclusão de estudantes público-alvo da Educação Especial no Programa Educação em Tempo Integral – Educação Ampliada no município de Vitória-ES. Trata-se de pesquisa qualitativa, cuja metodologia envolveu revisão de literatura e estudo de caso. O instrumento de pesquisa foi uma entrevista semiestruturada, por permitir explorar mais amplamente as abordagens e proporcionar aos entrevistados maior liberdade para emitir as suas opiniões. Os sujeitos da pesquisa foram os gestores responsáveis pelo desenvolvimento do Programa Educação em Tempo Integral – Educação Ampliada da Secretaria Municipal de Educação do município de Vitória (Seme) e a equipe de uma das EMEFs que compôs o grupo focal, profissionais diretamente envolvidos no exercício das práticas pedagógicas com os estudantes matriculados no Programa da Unidade de Ensino. Os resultados das análises da pesquisa foi que a Educação em Tempo Integral – Educação Ampliada é uma realidade no município de Vitória-ES, desde a sua implantação em 1989. O programa atende hoje a 3.203 estudantes. Desse total, apenas 35, ou seja, 1,9%, compõem o público-alvo da Educação Especial atendido pelo programa em foco. A análise das informações documentais, os relatos dos gestores que se revezaram desde a implantação do Peti e as entrevistas com os sujeitos desta pesquisa revelaram que a educação em tempo integral se processa no município de Vitória de forma lenta e descontínua, especialmente por ocasião do revezamento entre uma administração e outra, quando muda a gestão política.

La adopción del cuadro de mando integral en organizaciones portuguesas: variables contingentes e institucionales

Este artículo tiene como objetivo identificar y analizar un conjunto de variables contingentes e institucionales que pueden potencialmente influir en el conocimiento e implementación del Cuadro de Mando Integral (CMI) en las organizaciones portuguesas pertenecientes al sector público y privado.

Determinantes de la adopción del cuadro de mando integral en organizaciones portuguesas del setor público y privado

Esta comunicación tiene como objetivo identificar y analizar un conjunto de variables que pueden potencialmente influir en la adopción del Cuadro de Mando Integral (CMI) en organizaciones públicas y privadas portuguesas. Definimos un conjunto de hipótesis de investigación y para comprobar empíricamente las hipótesis formuladas hemos recurrido a los datos obtenidos mediante la aplicación de un cuestionario postal a 591 organizaciones públicas (ayuntamientos, hospitales, empresas municipales y empresas intermunicipales) y 549 organizaciones privadas (grandes empresas y pequeñas y medianas empresas) portuguesas, con una tasa de respuesta del 31,3%. Los resultados obtenidos indican que el compromiso de la alta dirección, el desarrollo de mapas estratégicos y el establecimiento de relaciones causa-efecto son factores que están asociados con la implementación del CMI.