ANALYSIS OF CURVED EDGE PLATES BY THE BOUNDARY-ELEMENT METHOD

The aim of this work is to present a formulation of the boundary element method to analyse elastic and isotropic plates with curved boundaries. In this study the plate boundary is approximated, along each element, by a second degree polynomial relation or by a circular arch, in order to better represent the real boundary. The numerical integration is performed by the self-adaptive coordinate transformation proposed by Telles. The effective shear forces are approximated by concentrated reactions applied at the boundary element nodes, according to the alternative formulation introduced by Paiva. Some examples are presented to demonstrate the better accuracy obtained with the proposed elements.

Anomalous transport effects on magnetic field profile in a motional current sheath

The radial magnetic field profile during implosion of a reversed field current sheath in a theta-pinch was investigated through local measurements and simulation of hybrid code. The actual profile was defined by Hermite interpolation polynomial through mean value of the field at discrete radial position of measurements. Simulation profile was provided by the numerical code with appropriate initial conditions. Classical and anomalous collision process were taken in account in the theoretical model. The results indicated that anomalous effects play major role during the implosion phase of current sheath in a slow rising theta pinch device.

Digestibilidade Aparente e Efeito Macro-Microscópico em Tilápia do Nilo (Oreochromis niloticus) Arraçoadas com Torta de Dendê

To evaluate the nutritional value of palm kernel meal on the performance Nile tilapia (Oreochromis niloticus), five isonitrogenous (30% crude protein), isoenergetic (2800 kcal/kg of digestible energy), and isofibrous (10% crude fiber) diets, with increasing levels of palm kernel meal (0, 7, 14, 21, 28 and 35%). were ad libitum fed to fingerlings with initial body weight of 1.52g +/- 0.04, housed per 120 days in 35 aquarium of 60 liters with fingerlings each. The environmental culture condition were monitored during all experimental period. Statistical analyses of recorded data were performed through polynomial regression models. To determine the apparent digestibility, macroscopic analysis of viscera and microscopic analysis of intestine epithelium were performed. The obtained results indicated that the inclusion of palm kernel meal up to 35% Nile tilapia diets did not affects the apparent digestibility and did not induce any pathological effects on viscera and intestinal epithelium.

Resposta de plantas daninhas ao óleo fúsel aplicado em pós-emergência inicial e tardia

This work aimed to study weed response to fusel oil rate applied at early and late post-emergence. The following species were studied at late and early post-emergence: Ipomoea hederifolia, Ipomoea quamoclit, Euphorbia heterophylla, Digitaria spp., Cenchrus echinatus and Panicum maximum.. The experiment was arranged in a completely randomized design with six treatments and four replications. Fusel oil, an alcohol distillation byproduct, was applied at rates of 50, 125, 250, 375 and 500 L ha(-1), plus control without application. The plots were constituted by polyethylene containers with 3 L capacity, filled with topsoil land from a fallow area. Visual symptoms of intoxication were verified at 7 and 30 days after application (DAA) and dry weight at 30 DAA. The variables were submitted to variance analysis according to the design, adjusting the data to obtain the dose-response curve by polynomial regression. The studied species were susceptible only to the application of 500 L ha(-1) of fusel oil at early or late plant post-emergence. The species Digitaria spp. was susceptible and E. heterophylla tolerant to fusel oil applied at early post-emergence, while the other species were moderately tolerant. E. heterophylla was susceptible, Digitaria spp., C. echinatus and P. maximum moderately tolerant and I. hederifolia and I. quamoclit tolerant to fusel oil applied at late post-emergence.

Slow-fast systems on algebraic varieties bordering piecewise-smooth dynamical systems

This article extends results contained in Buzzi et al. (2006) [4], Llibre et al. (2007, 2008) [12,13] concerning the dynamics of non-smooth systems. In those papers a piecewise C-k discontinuous vector field Z on R-n is considered when the discontinuities are concentrated on a codimension one submanifold. In this paper our aim is to study the dynamics of a discontinuous system when its discontinuity set belongs to a general class of algebraic sets. In order to do this we first consider F :U -> R a polynomial function defined on the open subset U subset of R-n. The set F-1 (0) divides U into subdomains U-1, U-2,...,U-k, with border F-1(0). These subdomains provide a Whitney stratification on U. We consider Z(i) :U-i -> R-n smooth vector fields and we get Z = (Z(1),...., Z(k)) a discontinuous vector field with discontinuities in F-1(0). Our approach combines several techniques such as epsilon-regularization process, blowing-up method and singular perturbation theory. Recall that an approximation of a discontinuous vector field Z by a one parameter family of continuous vector fields is called an epsilon-regularization of Z (see Sotomayor and Teixeira, 1996 [18]; Llibre and Teixeira, 1997 [15]). Systems as discussed in this paper turn out to be relevant for problems in control theory (Minorsky, 1969 [16]), in systems with hysteresis (Seidman, 2006 [17]) and in mechanical systems with impacts (di Bernardo et al., 2008 [5]). (C) 2011 Elsevier Masson SAS. All rights reserved.

Bifurcation of limit cycles from a centre in R-4 in resonance 1:N

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

Performance of Layers Submitted to Different Forced Molting Methods and Different Temperatures

This study was carried out to evaluate the performance and egg quality of laying hens, in their second laying cycle submitted to different forced-molting methods and three environmental temperatures. Six hundred layers were distributed in a completely randomized experimental design with 15 treatments with five replicates of eight birds each, according to 5x3 factorial arrangement (molting methods vs. temperatures). The following forced-molting methods were applied: 90%, 70%, 50% dietary alfalfa inclusion, addition of 2,800 ppm zinc, and feed fasting. Temperatures were: 20 degrees C, 27 degrees C and 35 degrees C. At the end of each period of the second laying cycle, bird performance and egg quality were evaluated. Data were submitted to analysis of variance and means were compared by orthogonal and polynomial contrasts. The highest alfalfa inclusion level (90% alfalfa and 10% basal diet) proved to be efficient as compared to the other methods, independently of temperature.

On the Milnor fibre and L numbers of semi-weighted homogeneous arrangements

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

On a moment problem associated with Chebyshev polynomials

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

A free relativistic anyon with canonical spin algebra

We discuss a relativistic free particle with fractional spin in 2+1 dimensions, where the dual spin components satisfy the canonical angular momentum algebra {Sμ, Sν} = εμνγSγ. It is shown that it is a general consequence of these features that the Poincaré invariance is broken down to the Lorentz one, so indicating that it is not possible to keep simultaneously the free nature of the anyon and the translational invariance.

Efeitos do tipo de ração inicial sobre a morfologia intestinal e digestibiliade dos nutrientes em leitões

Thirty piglets, weaned at an average age of 28 days, were used in experiment one. After weaning, 24 animals were transferred to the nursery in groups of two to each pen and fed simple or semi-complex diets ad libitum. On weaning day (day 0), six pigs were slaughtered. On days 7 and 21 post-weaning, one animal from each nursery pen was slaughtered to study mucosal thickness (MTD and MTJ) and villi heights (VHD and VHJ) in the duodenum and jejunum. The average values observed for MTD, VHD, MTJ, and VHJ were not influenced by type of diet. MTD, MTJ, and VHJ increased from days 7 to 21 post-weaning. Polynomial regression spanning days 0, 7, and 21 showed a linear effect for MTJ and a quadratic effect for VHD and VHJ. In experiment two, 16 piglets weaned at an average age of 28 days were used in two metabolic trials carried out during two periods of the initial phase (days 5 to 14 and days 19 to 28 postweaning), to determine the nutritional value of simple and semi-complex diets. There were no differences among treatments in apparent digestibility of crude protein and dry matter and the values for digestible or metabolizable energy of the diets. It was concluded that composition of the starter diet did not influence the intestinal morphology of piglets, the digestibilities of dry matter and crude protein, or the digestible and metabolizable energy contents of the diets.

Algorithms for network piecewise-linear programs: A comparative study

Piecewise-Linear Programming (PLP) is an important area of Mathematical Programming and concerns the minimisation of a convex separable piecewise-linear objective function, subject to linear constraints. In this paper a subarea of PLP called Network Piecewise-Linear Programming (NPLP) is explored. The paper presents four specialised algorithms for NPLP: (Strongly Feasible) Primal Simplex, Dual Method, Out-of-Kilter and (Strongly Polynomial) Cost-Scaling and their relative efficiency is studied. A statistically designed experiment is used to perform a computational comparison of the algorithms. The response variable observed in the experiment is the CPU time to solve randomly generated network piecewise-linear problems classified according to problem class (Transportation, Transshipment and Circulation), problem size, extent of capacitation, and number of breakpoints per arc. Results and conclusions on performance of the algorithms are reported.

Resonance and chaos: I. First-order interior resonances

Analytical models for studying the dynamical behaviour of objects near interior, mean motion resonances are reviewed in the context of the planar, circular, restricted threebody problem. The predicted widths of the resonances are compared with the results of numerical integrations using Poincaré surfaces of section with a mass ratio of 10-3 (similar to the Jupiter-Sun case). It is shown that for very low eccentricities the phase space between the 2:1 and 3:2 resonances is predominantly regular, contrary to simple theoretical predictions based on overlapping resonance. A numerical study of the 'evolution' of the stable equilibrium point of the 3:2 resonance as a function of the Jacobi constant shows how apocentric libration at the 2:1 resonance arises; there is evidence of a similar mechanism being responsible for the centre of the 4:3 resonance evolving towards 3:2 apocentric libration. This effect is due to perturbations from other resonances and demonstrates that resonances cannot be considered in isolation. On theoretical grounds the maximum libration width of first-order resonances should increase as the orbit of the perturbing secondary is approached. However, in reality the width decreases due to the chaotic effect of nearby resonances.

Torta de dendê em dieta para a tilápia-do-nilo: Desempenho produtivo

To evaluate the nutritional value of African palm kernel meal (Elaeis guineensis) on the performance of Nile tilapia (Oseochromis niloticus), five isonitrogenous (30% crude protein), isoenergetic (2,800 Kcal/kg of digestible energy), and isofibrous (10% crude fiber) diets, with increasing levels of African palm kernel meal (0, 7, 14, 21, 28 and 35%) were fed ad libitum for 18 weeks to Nile tilapia (Oreochromis niloticus) fingerlings, averaging 1.52 ± 0.04 g of body weight, housed for 120 days in 60 liter aquaria with six fingerlings. To determine the production traits, weight gain, apparent food conversion, specific growth rate, protein efficiency ratio, weight gain percentage, net protein utilization, and body composition, fish were weighted at six-week intervals. Statistical analysis of recorded data were performed through multivariate profile analysis and polynomial regression models. Results showed that feeding fingerling Nile tilapia with ratios containing up to 35% of African palm kernel meal does not affect production performance.

Activation function study for wavelet network

The main purpose of this paper is to investigate theoretically and experimentally the use of family of Polynomial Powers of the Sigmoid (PPS) Function Networks applied in speech signal representation and function approximation. This paper carries out practical investigations in terms of approximation fitness (LSE), time consuming (CPU Time), computational complexity (FLOP) and representation power (Number of Activation Function) for different PPS activation functions. We expected that different activation functions can provide performance variations and further investigations will guide us towards a class of mappings associating the best activation function to solve a class of problems under certain criteria.