Dynamic stationary response of reinforced plates by the boundary element method

A direct version of the boundary element method (BEM) is developed to model the stationary dynamic response of reinforced plate structures, such as reinforced panels in buildings, automobiles, and airplanes. The dynamic stationary fundamental solutions of thin plates and plane stress state are used to transform the governing partial differential equations into boundary integral equations (BIEs). Two sets of uncoupled BIEs are formulated, respectively, for the in-plane state ( membrane) and for the out-of-plane state ( bending). These uncoupled systems are joined to formamacro-element, in which membrane and bending effects are present. The association of these macro-elements is able to simulate thin-walled structures, including reinforced plate structures. In the present formulation, the BIE is discretized by continuous and/or discontinuous linear elements. Four displacement integral equations are written for every boundary node. Modal data, that is, natural frequencies and the corresponding mode shapes of reinforced plates, are obtained from information contained in the frequency response functions (FRFs). A specific example is presented to illustrate the versatility of the proposed methodology. Different configurations of the reinforcements are used to simulate simply supported and clamped boundary conditions for the plate structures. The procedure is validated by comparison with results determined by the finite element method (FEM).

A SIMPLE NUMERICAL-METHOD FOR HYDROSTATIC INCOMPRESSIBLE MODELS WITH RIGID LIDS

A simple and easily implemented method is developed to keep the vertical velocity equal to zero at the bottom and top of hydrostatic incompressible numerical models. The pressure is computed at the top by correcting its value given in the previous time step so that the vertical integral of the horizontal divergence is zero at each column. Numerical experiments that exhibit small time variations of pressure at the top are able to simplify the algorithm and save computer time. Numerical simulations illustrate the method effectiveness for a horizontal deformation-induced frontogenesis.

Evaluating residues and integrals through negative dimensional integration method (NDIM)

The standard way of evaluating residues and some real integrals through the residue theorem (Cauchy's theorem) is well-known and widely applied in many branches of Physics. Herein we present an alternative technique based on the negative dimensional integration method (NDIM) originally developed to handle Feynman integrals. The advantage of this new technique is that we need only to apply Gaussian integration and solve systems of linear algebraic equations, with no need to determine the poles themselves or their residues, as well as obtaining a whole class of results for differing orders of poles simultaneously.

Building roof contour extraction from LiDAR data

This paper proposes a method for the automatic extraction of building roof contours from a LiDAR-derived digital surface model (DSM). The method is based on two steps. First, to detect aboveground objects (buildings, trees, etc.), the DSM is segmented through a recursive splitting technique followed by a region merging process. Vectorization and polygonization are used to obtain polyline representations of the detected aboveground objects. Second, building roof contours are identified from among the aboveground objects by optimizing a Markov-random-field-based energy function that embodies roof contour attributes and spatial constraints. Preliminary results have shown that the proposed methodology works properly.

Avaliação de usuários da atenção básica sobre a implantação de protocolo de assistência integral odontológica

Objective: To evaluate the perception of basic attention healthcare users as to the implantation of the Integral Dental Assistance Protocol (PAIO, in Portuguese) and the effect of this program on the oral health condition, oral hygiene, access to and resolubility of the service, in a public basic health unit of João Pessoa-PB. Method: The sample was composed of 32 volunteers, for whom a sixphase intervention was programed: diagnosis of dental needs; resolution of urgencies; restorative interventions; application of promotional measures; evaluation of the health level obtained; and periodic follow-up visits. Data were collected by means of a semistructured interview and a questionnaire, applied before and after PAIO implantation. The interviews were transcribed and analyzed according to the content analysis technique. The effect of PAIO implantation was evaluated by using an increasing scoring system ranging from 1 to 10. The Wilcoxon test was applied with a confidence level of 95%. Results: For the participants that attended the PAIO (n=20), the program contributed to improve oral health condition (100%) and knowledge (100%). The users reported satisfaction (n=12) and had a positive evaluation (n=12), achieved by means of the improvement of oral health condition (n=8), faster and easier access to treatment (n=7), scheduling of dental appoints and warrant of being treated (n=6), welcoming (n=5), motivation for oral care (n=5), and perspective of continuity of PAIO (n=6). The initial evaluation of the users received scores between 5.7 and 7.6. After PAIO implantation, the users' perception was improved (p<0.01), with scores between 9.6 and 9.9. Conclusion: According to the users, the implantation of PAIO contributed to the qualification of health service and oral health care, being a favorable aspect to increase the access to and resolubility of the service.

Digestibilidade da soja semi-integral extrusada para leitões na fase inicial

Two assays were conducted to determine the coefficients of digestibility (CD) and the digestible nutrients (DN) of the extruded semi-whole soybean (Assay 1 conventional feeding and Assay 2 feeding for sows, starting at 109 days of pregnancy and during the lactation and for lactating piglets and in the initial phase, with rations without soybean meal). Each assay was divided into two phases (32 and 50 days of age). Eight piglets weaned at 25 days of age were used. Total feces collection method was used. The following variables were analyzed in feed and in feces: dry matter, crude protein, ether extract, crude fiber and gross energy. The following average values were obtained: CDDM 88.87%; CDCP 86.81%; CDEE 85.41%; CDCF 78.22%; CDGE 80.21% and CMDE 95.71%, which allowed the calculation of the digestible nutrients: DDM 81.28%; DP 34.49%; DEE 14.02%; DF 4.49%; DEa 4087.86 kcal/kg and MEa 3912.73 kcal/kg. The different coefficients of digestibility were not affected by the differential feeding for sows and piglets nor by the different ages of the animals. Moreover, the extruded semi-whole soybean presented good levels of DN, concerning mainly the digestible and metabolizable energy.

Estudo de campo elétrico em linha de transmissão utilizando o método dos elementos de contorno

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Estudo comparativo das técnicas de elementos finitos e equação integral na modelagem eletromagnética bidimensional

Os métodos numéricos de Elementos Finitos e Equação Integral são comumente utilizados para investigações eletromagnéticas na Geofísica, e, para essas modelagens é importante saber qual algoritmo é mais rápido num certo modelo geofísico. Neste trabalho são feitas comparações nos resultados de tempo computacional desses dois métodos em modelos bidimensionais com heterogeneidades condutivas num semiespaço resistivo energizados por uma linha infinita de corrente (com 1000Hz de freqüência) e situada na superfície paralelamente ao "strike" das heterogeneidades. Após a validação e otimização dos programas analisamos o comportamento dos tempos de processamento nos modelos de corpos retangulares variandose o tamanho, o número e a inclinação dos corpos. Além disso, investigamos nesses métodos as etapas que demandam maior custo computacional. Em nossos modelos, o método de Elementos Finitos foi mais vantajoso que o de Equação Integral, com exceção na situação de corpos com baixa condutividade ou com geometria inclinada.

Patch-based local histograms and contour estimation for static foreground classification

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Diagnóstico dos casos de aprovação nas disciplinas de cálculo diferencial e integral I e II do curso de licenciatura em química - Unesp de Araraquara

Studies show that the disciplines of differential and integral calculus have high failure rates in all schools where they are present and, although this problem has been accentuated in recent years, it is not a local phenomenon. It's observed since 1970s in various Institutions of higher education in Brazil. These studies seek to understand the causes of failures and proposals for teaching methodology that aims to help reduce these rates. However, there is a large contingent of students who are successful at the first time that they perform these disciplines. And these cases, although they have not been studied, can contribute greatly to the understanding the aspects that are related to learning of them. And this understanding can lead to attitudes and learning and teaching methodologies that promote the expansion of this success. The fact that these subjects also have high failure rates in the Degree in Chemistry of this Institute, this study aimed to investigate the factors that were relevant to the cases for approval of the students performed for the first time. For this we constructed a questionnaire containing objective questions and open answers. The objective sought to diagnose the profile of these students with regard to age, gender, basic education (elementary and middle school), study habits, concurrent activities, among others. These questions were analyzed using simple statistics. The open-ended questions asked students to indicate that they attribute the success obtained in the disciplines and to suggest modes of study. These questions were analyzed using thematic categorization, a method of content analysis. This questionnaire was completed, voluntarily and without identification, by students who have passed the first time attended the courses Calculus I and/ or Calculus II and had never started another college prior to this. The results indicate that the most relevant factors in this process were dedication and correct habits...

An inverse method to estimate the moving heat source in machining process

The present work propounds an inverse method to estimate the heat sources in the transient two-dimensional heat conduction problem in a rectangular domain with convective bounders. The non homogeneous partial differential equation (PDE) is solved using the Integral Transform Method. The test function for the heat generation term is obtained by the chip geometry and thermomechanical cutting. Then the heat generation term is estimated by the conjugated gradient method (CGM) with adjoint problem for parameter estimation. The experimental trials were organized to perform six different conditions to provide heat sources of different intensities. This method was compared with others in the literature and advantages are discussed. (C) 2012 Elsevier Ltd. All rights reserved.

Levy stable distributions via associated integral transform

We present a method of generation of exact and explicit forms of one-sided, heavy-tailed Levy stable probability distributions g(alpha)(x), 0 <= x < infinity, 0 < alpha < 1. We demonstrate that the knowledge of one such a distribution g a ( x) suffices to obtain exactly g(alpha)p ( x), p = 2, 3, .... Similarly, from known g(alpha)(x) and g(beta)(x), 0 < alpha, beta < 1, we obtain g(alpha beta)( x). The method is based on the construction of the integral operator, called Levy transform, which implements the above operations. For a rational, alpha = l/k with l < k, we reproduce in this manner many of the recently obtained exact results for g(l/k)(x). This approach can be also recast as an application of the Efros theorem for generalized Laplace convolutions. It relies solely on efficient definite integration. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4709443]

Asymptotic integral kernel for ensembles of random normal matrices with radial potentials

The method of steepest descent is used to study the integral kernel of a family of normal random matrix ensembles with eigenvalue distribution P-N (z(1), ... , z(N)) = Z(N)(-1)e(-N)Sigma(N)(i=1) V-alpha(z(i)) Pi(1 <= i<j <= N) vertical bar z(i) - z(j)vertical bar(2), where V-alpha(z) = vertical bar z vertical bar(alpha), z epsilon C and alpha epsilon inverted left perpendicular0, infinity inverted right perpendicular. Asymptotic formulas with error estimate on sectors are obtained. A corollary of these expansions is a scaling limit for the n-point function in terms of the integral kernel for the classical Segal-Bargmann space. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3688293]

Numerical and analytical vibro-acoustic modelling of porous materials: the Cell Method for poroelasticity and the case of inclusions

Porous materials are widely used in many fields of industrial applications, to achieve the requirements of noise reduction, that nowadays derive from strict regulations. The modeling of porous materials is still a problematic issue. Numerical simulations are often problematic in case of real complex geometries, especially in terms of computational times and convergence. At the same time, analytical models, even if partly limited by restrictive simplificative hypotheses, represent a powerful instrument to capture quickly the physics of the problem and general trends. In this context, a recently developed numerical method, called the Cell Method, is described, is presented in the case of the Biot's theory and applied for representative cases. The peculiarity of the Cell Method is that it allows for a direct algebraic and geometrical discretization of the field equations, without any reduction to a weak integral form. Then, the second part of the thesis presents the case of interaction between two poroelastic materials under the context of double porosity. The idea of using periodically repeated inclusions of a second porous material into a layer composed by an original material is described. In particular, the problem is addressed considering the efficiency of the analytical method. A analytical procedure for the simulation of heterogeneous layers based is described and validated considering both conditions of absorption and transmission; a comparison with the available numerical methods is performed. ---------------- I materiali porosi sono ampiamente utilizzati per diverse applicazioni industriali, al fine di raggiungere gli obiettivi di riduzione del rumore, che sono resi impegnativi da norme al giorno d'oggi sempre più stringenti. La modellazione dei materiali porori per applicazioni vibro-acustiche rapprensenta un aspetto di una certa complessità. Le simulazioni numeriche sono spesso problematiche quando siano coinvolte geometrie di pezzi reali, in particolare riguardo i tempi computazionali e la convergenza. Allo stesso tempo, i modelli analitici, anche se parzialmente limitati a causa di ipotesi semplificative che ne restringono l'ambito di utilizzo, rappresentano uno strumento molto utile per comprendere rapidamente la fisica del problema e individuare tendenze generali. In questo contesto, un metodo numerico recentemente sviluppato, il Metodo delle Celle, viene descritto, implementato nel caso della teoria di Biot per la poroelasticità e applicato a casi rappresentativi. La peculiarità del Metodo delle Celle consiste nella discretizzazione diretta algebrica e geometrica delle equazioni di campo, senza alcuna riduzione a forme integrali deboli. Successivamente, nella seconda parte della tesi viene presentato il caso delle interazioni tra due materiali poroelastici a contatto, nel contesto dei materiali a doppia porosità. Viene descritta l'idea di utilizzare inclusioni periodicamente ripetute di un secondo materiale poroso all'interno di un layer a sua volta poroso. In particolare, il problema è studiando il metodo analitico e la sua efficienza. Una procedura analitica per il calcolo di strati eterogenei di materiale viene descritta e validata considerando sia condizioni di assorbimento, sia di trasmissione; viene effettuata una comparazione con i metodi numerici a disposizione.

New path integral simulation algorithms and their application to creep in the quantum sine-Gordon chain

A path integral simulation algorithm which includes a higher-order Trotter approximation (HOA)is analyzed and compared to an approach which includes the correct quantum mechanical pair interaction (effective Propagator (EPr)). It is found that the HOA algorithmconverges to the quantum limit with increasing Trotter number P as P^{-4}, while the EPr algorithm converges as P^{-2}.The convergence rate of the HOA algorithm is analyzed for various physical systemssuch as a harmonic chain,a particle in a double-well potential, gaseous argon, gaseous helium and crystalline argon. A new expression for the estimator for the pair correlation function in the HOA algorithm is derived. A new path integral algorithm, the hybrid algorithm, is developed.It combines an exact treatment of the quadratic part of the Hamiltonian and thehigher-order Trotter expansion techniques.For the discrete quantum sine-Gordon chain (DQSGC), it is shown that this algorithm works more efficiently than all other improved path integral algorithms discussed in this work. The new simulation techniques developed in this work allow the analysis of theDQSGC and disordered model systems in the highly quantum mechanical regime using path integral molecular dynamics (PIMD)and adiabatic centroid path integral molecular dynamics (ACPIMD).The ground state phonon dispersion relation is calculated for the DQSGC by the ACPIMD method.It is found that the excitation gap at zero wave vector is reduced by quantum fluctuations. Two different phases exist: One phase with a finite excitation gap at zero wave vector, and a gapless phase where the excitation gap vanishes.The reaction of the DQSGC to an external driving force is analyzed at T=0.In the gapless phase the system creeps if a small force is applied, and in the phase with a gap the system is pinned. At a critical force, the systems undergo a depinning transition in both phases and flow is induced. The analysis of the DQSGC is extended to models with disordered substrate potentials. Three different cases are analyzed: Disordered substrate potentials with roughness exponent H=0, H=1/2,and a model with disordered bond length. For all models, the ground state phonon dispersion relation is calculated.