Chaos and Unpredictability in the Vibration of an Elasto-Plastic Beam

This contribution discusses the nonlinear dynamics of a pin-ended elasto-plastic beam with both kinematic and isotropic hardening. An iterative numerical procedure based on the operator split technique is developed in order to deal with the nonlinearities in the equations of motion. Free and forced responses for harmonic sinusoidal and square wave excitations are investigated. Numerical simulations present many interesting behaviors such as jump phenomena, sensitivity to initial conditions, chaos and transient chaos. These results indicate that there are practical problems in predicting the response of the beam even when periodic steady state response is expected.

Pressure Drop in Vertical Core-Annular Flow

An experimental apparatus for the study of core annular flows of heavy oil and water at room temperature has been set up and tested at laboratory scale. The test section consists of a 2.75 cm ID galvanized steel pipe. Tap water and a heavy oil (17.6 Pa.s; 963 kg/m³) were used. Pressure drop in a vertical upward test section was accurately measured for oil flow rates in the range 0.297 - 1.045 l/s and water flow rates ranging from 0.063 to 0.315 l/s. The oil-water input ratio was in the range 1-14. The measured pressure drop comprises gravitational and frictional parts. The gravitational pressure drop was expressed in terms of the volumetric fraction of the core, which was determined from a correlation developed by Bannwart (1998b). The existence of an optimum water-oil input ratio for each oil flow rate was observed in the range 0.07 - 0.5. The frictional pressure drop was modeled to account for both hydrodynamic and net buoyancy effects on the core. The model was adjusted to fit our data and shows excellent agreement with data from another source (Bai, 1995).

Experimental Vibration Characteristics of a Beam with Nonlinear Support Using Receptance Coupling Analysis

This paper applies the Multi-Harmonic Nonlinear Receptance Coupling Approach (MUHANORCA) (Ferreira 1998) to evaluate the frequency response characteristics of a beam which is clamped at one end and supported at the other end by a nonlinear cubic stiffness joint. In order to apply the substructure coupling technique, the problem was characterised by coupling a clamped linear beam with a nonlinear cubic stiffness joint. The experimental results were obtained by a sinusoidal excitation with a special force control algorithm where the level of the fundamental force is kept constant and the level of the harmonics is kept zero for all the frequencies measured.

Distribución vertical del banco de semillas de Euphorbia davidii Subils, en lotes agrícolas de la zona centro de la provincia de Buenos Aires, Argentina

Euphorbia davidii Subils, es una maleza anual que está presente en la zona centro de la provincia de Buenos Aires, Argentina. Se realizaron estudios para determinar el banco de semillas de esta especie y su distribución vertical en lotes agrícolas de Azul y Olavarría. Se extrajeron 240 muestras de suelo, provenientes de 60 puntos distribuidos al azar, a cuatro niveles de profundidad: 0-5 cm, 5-10 cm, 10-15 cm y 15-20 cm. Las extracciones se realizaron dos veces al año, en mayo y en septiembre. Las muestras fueron procesadas y las semillas separadas por tamizado en húmedo. Se evaluó germinación y viabilidad mediante la prueba de trifeniltetrazolio. Se cuantificaron 30.000 y 15.000 semillas m-2, para los lotes de Azul y Olavarría, respectivamente. En Olavarría, el 79% de las semillas se encontraron de 0-5 cm, de profundidad, el 14%, de 5-10 cm y el 7% restante de 10-20 cm. En Azul se observó una distribución vertical más homogénea. El 55 % de las semillas se encontraron de 0-5 cm de profundidad, un 24% de 5-10 cm, el 16% de 10-15 cm y el 5% en el muestreo más profundo. Las diferencias en la distribución se asociaron al manejo de los lotes. En ambas localidades la viabilidad de semillas, provenientes del estrato superficial, superó el 70%. Las semillas de estratos superficiales recolectadas en el lote de Olavarría, inmediatamente después de la dehiscencia, presentaron dormición, en cambio en las semillas provenientes del lote de Azul para el mismo momento de muestreo, no se observó dormición.

Horizontal and vertical tree community structure in a lowland atlantic rain forest, southeastern Brazil

The horizontal and vertical tree community structure in a lowland Atlantic Rain Forest was investigated through a phytosociological survey in two 0.99 ha plots in the Intervales State Park, São Paulo State. All trees > 5 cm diameter at breast height were recorded. 3,078 individuals belonging to 172 species were identified and recorded. The Shannon diversity index was H' = 3.85 nat.ind.-1. The Myrtaceae family showed the greatest floristic richness (38 species) and the highest density (745 individuals) in the stand. Euterpe edulis Mart. had the highest importance value (33.98%) accounting for 21.8% of all individuals recorded. The quantitative similarity index was higher than the qualitative index, showing little structural variation between plots. However, the large number of uncommon species resulted in pronounced floristic differences. A detrended correspondence analysis (DCA) generated three arbitrary vertical strata. Stratum A (> 26 m), where Sloanea guianensis (Aubl.) Benth. and Virola bicuhyba (Schott. ex A.DC.) Warb. were predominant showed the lowest density. Stratum B (8 m < h < 26 m) had the greatest richness and diversity, and stratum C (< 8 m) showed the highest density. Euterpe edulis, Guapira opposita (Vell.) Reitz, Garcinia gardneriana (Planch. & Triana) Zappi, and Eugenia mosenii (Kausel) Sobral were abundant in strata B and C. The occurrence of strata in tropical forests is discussed and we recommend the use of DCA for others studies of the vertical distribution of tropical forest tree communities.

Estratificação vertical de bromélias epifíticas em diferentes estádios sucessionais da Floresta Ombrófila Densa, Ilha de Santa Catarina, Brasil

O presente estudo teve como objetivo caracterizar as alturas preferenciais de distribuição das bromélias em quatro estádios sucessionais (capoeirinha, capoeira, capoeirão e floresta secundária) em encostas da Ilha de Santa Catarina, relacionando-as com o desenvolvimento da floresta, com características individuais e dos forófitos. Foram calculados valores de importância das bromélias em cada estádio, relacionando-os aos tipos de diásporos e estratégias para obtenção de nutrientes. Cada um dos 60 forófitos determinados por estádio sucessional através de pontos quadrantes foi considerado uma unidade amostral e dividido em intervalos de altura de dois metros a partir do solo. As espécies do gênero Tillandsia com metabolismo CAM apresentaram os maiores valores de importância nos dois estádios mais avançados, onde houve ocorrência de bromélias. Em todos os estádios, na estratificação vertical, foi detectada uma tendência de maior riqueza e maior freqüência de bromélias em alturas próximas às médias dos pontos de inversão morfológica relacionado ao aumento de substrato disponível para fixação e crescimento. No capoeirão e na floresta secundária as plântulas cresceram em todos os intervalos de altura dos forófitos, indicando taxas de mortalidade diferentes quando considerada a distribuição dos indivíduos adultos. As mudanças nas condições microclimáticas dos progressivos estádios sucessionais provocaram deslocamentos de distribuição e trocas de espécies, com o aumento de indivíduos e de espécies formadoras de tanque.

Vertical growth phase and positive sentinel node in thin melanoma

Sentinel node (SN) status is the most important prognostic factor for localized melanoma. Usually, patients with Breslow thickness of less than 1.0 mm are not included in SN protocols. However, the literature presents a rate ranging from 3 to 7% of nodal recurrence in thin melanoma. Ulceration, regression and high mitotic rate have been considered to be indications for an SN biopsy. The metastatic potential of the vertical growth phase is uncertain. To correlate pathological features in thin melanoma with SN metastasis, we reviewed 358 patients submitted to SN biopsy. Seventy-seven patients with lesions of 1 mm or smaller were included in the study group. Histological evaluation of the primary tumor included thickness, Clark level, mitotic rate, ulceration, regression, and growth phase. Lymphoscintigraphy was performed on all patients. Lymphatic mapping and gamma probe detection were both used for SN biopsy. Histological examination of SN consisted of hematoxylin-eosin and immunohistochemical staining. Median follow-up was 37 months. Six patients had micrometastases. Statistical analysis by the Fisher test showed that ulceration (P = 0.019), high mitotic rate (P = 0.008) and vertical growth phase (P = 0.002) were positively correlated with micrometastases. If other studies confirm these results, more melanoma patients must be submitted to SN biopsy.

Do whole-body vibration exercise and resistance exercise modify concentrations of salivary cortisol and immunoglobulin A?

A single bout of resistance exercise (RE) induces hormonal and immune responses, playing an important role in a long-term adaptive process. Whole-body vibration (WBV) has also been shown to affect hormonal responses. Evidence suggests that combining WBV with RE may amplify hormonal and immune responses due to the increased neuromuscular load. Therefore, the aim of this study was to evaluate salivary cortisol (Scortisol) and salivary IgA (SIgA) concentrations following a RE session combined or not with WBV. Nine university students (22.9 ± 5.1 years, 175.8 ± 5.2 cm, and 69.2 ± 7.3 kg) performed five sets of squat exercise (70% one-repetition-maximum) combined (R+V30) or not (R) with WBV at 30 Hz. Saliva samples were obtained before and after exercise. Subjects also rated their effort according to the Borg CR-10 scale (RPE). Data were analyzed by a mixed model. RPE was higher after R+V30 (8.3 ± 0.7) compared to R (6.2 ± 0.7). However, Scortisol (pre: 10.6 ± 7.6 and 11.7 ± 7.6, post: 8.3 ± 6.3 and 10.2 ± 7.2 ng/mL for R and R+V30, respectively) and SIgA concentrations (pre: 98.3 ± 22.6 and 116.1 ± 51.2, post: 116.6 ± 64.7 and 143.6 ± 80.5 µg/mL for R and R+V30, respectively) were unaffected. No significant correlations were observed between Scortisol and RPE (r = 0.45, P = 0.22; r = 0.30, P = 0.42, for R and R+V30, respectively). On the basis of these data, neither protocol modified salivary cortisol or IgA, although RPE was higher after R+V30 than R.

Whole-body vibration decreases the proliferativeb response of TCD4+ cells in elderly individuals with knee osteoarthritis

The aim of this study was to investigate the effect of adding whole-body vibration (WBV; frequency = 35 to 40 Hz; amplitude = 4 mm) to squat training on the T-cell proliferative response of elderly patients with osteoarthritis (OA) of the knee. This study was a randomized controlled trial in which the selected variables were assessed before and after 12 weeks of training. Twenty-six subjects (72 ± 5 years of age) were divided into three groups: 1) squat training with WBV (WBV, N = 8); 2) squat training without WBV (N = 10), and 3) a control group (N = 8). Women who were ≥60 years of age and had been diagnosed with OA in at least one knee were eligible. The intervention consisted of 12 uninterrupted weeks of squatting exercise training performed 3 times/week. Peripheral blood mononuclear cells were obtained from peripheral blood collected before and after training. The proliferation of TCD4+ and TCD8+ cells was evaluated by flow cytometry measuring the carboxyfluorescein succinimidyl ester fluorescence decay before and after the intervention (∆). The proliferative response of TCD4+ cells (P = 0.02, effect size = 1.0) showed a significant decrease (23%) in the WBV group compared to the control group, while there was no difference between groups regarding the proliferative response of TCD8+ cells (P = 0.12, effect size = 2.23). The data suggest that the addition of WBV to squat exercise training might modulate T-cell-mediated immunity, minimizing or slowing disease progression in elderly patients with OA of the knee.

O tempo vertical e a dimensão do poético na obra de Clarice Lispector: uma leitura bachelardiana

A presença marcante de uma prosa-poética na produção ficcional de Clarice Lispector possibilitou-nos exemplificar algumas noções centrais (tempo vertical e instante poético) na rica e sugestiva reflexão de Gaston Bachelard acerca do universo poético