New tool to assess the force production in the swallow

8 men artistic gymnasts were evaluated with a new test protocol in order to assess isometric strength in an specific hold position on still rings. The proposed test protocol measures the force applied the gymnast on the rings from an initial lying prone position on a force platform while he is trying to achieve the Swallow (or Hirondelle) position. The vertical force (FZ) from the forcetime curve registered (100 Hz) was used and it showed a descent from the initial body weight level caused by the gymnast force on the rings and, later, a maximal isometric force period. Fundamental and derivate variables to extract from the evolution of Fz were defined. Results showed significant statistical differences between gymnasts that could perform the Swallow (P) from those that could not (NP) (pmenor que0.05). Performer gymnasts were characterized by a higher percentage of body weight descent and higher strength in relation to body mass (pmenor que0.05). The practical application of this tool could be to provide coaches with information about how close the gymnast is to perform the Swallow.

Quasi-isometries and isoperimetric inequalities

We consider the stability of isoperimetric inequalities under quasi-isometries between Riemann surfaces. Kanai observed that quasi-isometries preserve isoperimetric inequalities on complete Riemannian manifolds with finite geometry: positive injectivity radius and Ricci curvature bounded from below (see [2]). In [1], it is shown that the linear isoperimetric inequality is a quasi-isometric invariant for planar Riemann surfaces (genus zero surfaces) with vanishing injectivity radius. Moreover, it is proved that non-linear isoperimetric inequalities can only hold for Riemann surfaces with positive injectivity radius, and hence, by Kanai's observation, preserved by quasi-isometries. In this talk we present an overview on isoperimetric inequalities and give some of the ideas of the proofs of the results cited above.

Análisis de la estructura del juego y parámetros morfológicos y fisiológicos en bádminton

En este trabajo se ha realizado un análisis de la estructura del juego y de los parámetros morfológicos y fisiológicos en jugadores de bádminton. Para ello se han realizado 4 estudios aplicados. Objetivo: Los objetivos del trabajo han sido: (1) comprobar si existen diferencias entre el lado dominante y no dominante de las medidas antropométricas en jugadores de bádminton de máximo nivel nacional, así como verificar si el lado del cuerpo donde se realiza la medición puede influir en el cálculo de la composición corporal y del somatotipo. (2) Comparar la estuctura temporal y notacional en partidos de individual masculino entre los Juegos Olímpicos de Pekín y de Londres para observar como ha evolucionado el bádminton de 2008 a 2012. (3) Medir la ocurrencia de daño muscular después de un partido simulado de bádminton y su influencia en parámetros físicos y hematológicos. (4) Investigar la efectividad de una bebida energética que contiene cafeína para mejorar el rendimiento físico y el rendimiento en un partido en jugadores de élite de bádminton. Metodología: Para caracterizar el bádminton participaron en esta tesis un total de 78 jugadores de bádminton de élite (63 hombres y 15 mujeres), distribuidos en tres estudios y se analizaron 40 sets de bádminton de individual masculino usando los videos oficiales de los Juegos Olímpicos de Pekín 2008 y Londres 2012. En el primer estudio se tomaron medidas de pliegues cutáneos, diámetros, longitudes y perímetros del lado dominante y no dominante de los jugadores. Se calculó la composición corporal y el somatotipo. En el segundo estudio se analizaron los factores temporales y los factores notacionales de los partidos. En el tercer estudio se midieron la fuerza máxima isométrica, la velocidad en test específicos de bádminton y se tomaron muestras de sangre antes y después de jugar un partido de bádminton de 45 minutos. En el cuarto estudio se realizó un experimento a doble ciego, aleatorizado y controlado con placebo, los jugadores ingirieron 3 mg de cafeína por kilógramo de masa corporal en forma de bebida energética, o la misma bebida sin cafeína (placebo). En este estudio se registraron diferente tests específicos de bádminton (tests de salto, fuerza máxima y test de agilidad) y se jugó un partido simulado de 45 minutos. Resultados y discusión: (1) El porcentaje óseo fue mayor calculado a partir de las mediciones del lado dominante (dominante = 16.37 ± 1.14 %, no dominante = 15.66 ± 1.12 %; P < 0.001), mientras que el porcentaje muscular fue mayor calculado a partir de las mediciones del lado no dominante (dominante = 49.39 ± 2.60 %, no dominante = 50.18 ± 2.69%; P < 0.001). (2) La duración del set (Pekín: 1124.6 ± 229.9 s vs Londres: 1260.3 ± 267.1 s.; P < 0.05), el tiempo real de juego (Pekín: 306.9 ± 45.7 s vs Londres: 354.7 ± 86.5 s; P < 0.05), tiempo de rally, golpeos por rally, tiempo de descanso en el punto 11, tiempo de descanso entre sets y golpeos por rally fueron significativamente mayores en Londres que en Pekín. (3) El partido simulado de bádminton no afectó a la fuerza isométrica máxima (Pre: 1263.6 ± 245.5, Post: 1290.8 ± 240.4 N) o a la velocidad específica de bádminton (Pre: 21.0 ± 1.7, Post: 20.9 ± 1.8 s), sin embargo las concentraciones de mioglobina y de creatina quinasa en sangre aumentaron de 26.5 ± 11.6 a 197.3 ± 70.2 μg • L-1 y de 258.6 ± 192.2 a 466.0 ± 296.5 U • L-1, respectivamente después del partido de bádminton. (4) En comparación con la bebida placebo, la ingesta de la bebida energética con cafeína incrementó la altura del SJ (34.5±4.7 vs. 36.4±4.3 cm; P < 0.05) y del CMJ (37.7 ± 4.5 vs. 39.5 ± 5.1 cm; P < 0.05) y aumentó el número de aceleraciones totales durante el partido (7395 ± 1594 vs. 7707 ± 2033 aceleraciones; P < 0.05). Conclusiones: (1) Existen asimetrías corporales en los jugadores de bádminton de alto nivel, al encontrarse diferencias en los diámetros óseos y en los perímetros entre el lado dominante y no dominante. Al calcular la composición corporal con el lado dominante de los jugadores de bádminton se está sobreestimando el porcentaje óseo e infraestimando el porcentaje muscular. (2) El bádminton está evolucionando hacía rallies más largos con intervalos de descanso mayores, lo que resulta en partidos más largos. (3) El partido de bádminton generó daño muscular, sin embargo, el nivel de daño muscular alcanzado después de un partido de bádminton no produjo una disminución del rendimiento muscular. (4) El uso de una bebida energética con cafeína puede ser una ayuda nutricional eficaz para aumentar el rendimiento en el salto y patrones de actividad durante el juego en jugadores de élite de bádminton. ABSTRACT: This study analyzes the structure of the game and the morphological and physiological parameters in badminton players, investigated in four applied studies. Purpose: The purposes of the study were: (1) To check if there are differences between the dominant and non-dominant side in the anthropometric measures of badminton players at the highest national level and verify if the side of the body where the measurements are performed can influence the calculation of the body composition and the somatotype. (2) To compare the temporal and notational structure in men’s singles matches between the Olympic Games in Beijing and London to observe the evolution of badminton between 2008 and 2012. (3) To asses the occurrence of muscle damage after a simulated badminton match and its influence on physical and haematological parameters. (4) To determine the effectiveness of a commercially available energy drink that contains caffeine to improve match performance in elite badminton players. Methods: A total of 78 elite badminton players (63 men and 15 women) participated in this thesis to characterize the sport of badminton distributed in three studies and 40 sets of men’s singles badminton analyzed using the official videos of the Olympic Games of Beijing 2008 and London 2012. In the first study skinfolds, diameters, lengths and perimeters of the dominant and non-dominant side of the players were measured and body composition and somatotype were calculated. In the second study the temporal and notational factors were analyzed. In the third study maximal isometric force and speed in badminton specific tests were measured and blood samples were taken before and after a badminton match of 45 minutes. In the fourth study, a double-blind, randomized placebo-controlled experiment, players ingested 3 mg of caffeine per kilogram of body mass in the form of an energy drink or an identical drink with no caffeine content (placebo). In this study different badminton specific tests (jump tests, handgrip force test and an agility test) were recorded and a simulated badminton match of 45 minutes was played. Results and discussion: (1) The percentage of bone was higher when calculated from measurements of the dominant body side (dominant = 16.37 ± 1.14 %, nondominant = 15.66 ± 1.12 %; P < 0.001), while the muscle percentage was higher when calculated from measurements of the non-dominant side (dominant = 49.39 ± 2.60 %, non-dominant = 50.18 ± 2.69%; P < 0.001). (2) Set duration (Beijing: 1124.6 ± 229.9 s vs. London: 1260.3 ± 267.1 s.; P < 0.05), real time played (Beijing: 306.9 ± 45.7 s vs. London: 354.7 ± 86.5 s; P < 0.05), rally time, shots per rally, rest time at point 11, rest time between sets and shots per rally were significantly higher in London than in Beijing. (3) A simulated badminton match did not affect maximal isometric force (Pre: 1263.6 ± 245.5, Post: 1290.8 ± 240.4 N) or specific badminton speed (Pre: 21.0 ± 1.7, Post: 20.9 ± 1.8 s), however, concentrations of myoglobin and creatine kinase in blood increased from 26.5 ± 11.6 to 197.3 ± 70.2 μg • L-1 and from 258.6 ± 192.2 to 466.0 ± 296.5 U • L-1, respectively after the badminton match. (4) In comparison to the placebo drink, the caffeinated beverage increased height in the SJ (34.5±4.7 vs. 36.4±4.3 cm; P < 0.05) and in the CMJ (37.7 ± 4.5 vs. 39.5 ± 5.1 cm; P < 0.05) and increased the number of total accelerations during the match (7395 ± 1594 vs. 7707 ± 2033 accelerations; P < 0.05). Conclusions: (1) Body asymmetries were found in high level badminton players, due to the differences found in bone diameters and perimeters between the dominant and non-dominant body side. When calculating body composition with the dominant side of the badminton players we are overestimating bone percentage and underestimating muscle percentage. (2) Badminton is evolving towards longer rallies with greater rest intervals, resulting in longer matches. (3) The badminton match generated muscle damage, however, the level of muscle damage reached after a badminton match did not produce a decrease in muscle performance. (4) The ingestion of an energy drink containing caffeine might be an effective ergogenic nutritional supplement to increase jump performance and activity patterns during the game in elite badminton players.

Determinación de la amplificación sísmica local en el Campus Sur UPM mediante la técnica de sismología de microtremores ReMi.

En el Campus Sur de la Universidad Politécnica de Madrid se ha llevado a cabo un proyecto para obtener una caracterización del subsuelo mediante ensayos ReMi, en colaboración con el departamento de Geofísica del Instituto Geográfico Nacional. La técnica ReMi (Refraction Microtremor) permite, mediante ensayos geofísicos realizados localmente sobre el terreno,obtener los parámetros físicos del mismo, que resultan de especial interés en el ámbito de la ingeniería civil. Esta técnica se caracteriza por englobarse dentro de la sísmica pasiva, muy empleada en prospección geofísica y basada en la obtención del modelo subyacente de distribución de velocidades de propagación de la onda S en función de la profundidad, con la ventaja de aprovechar el ruido sísmico ambiental como fuente de energía. Fue desarrollada en el Laboratorio Sismológico de Nevada (EEUU) por Louie (2001), con el objetivo de presentar una técnica innovadora en la obtención de las velocidades de propagación de manera experimental. Presenta ciertas ventajas, como la observación directa de la dispersión de ondas superficiales,que da un buen resultado de la velocidad de onda S, siendo un método no invasivo, de bajo coste y buena resolución, aplicable en entornos urbanos o sensibles en los que tanto otras técnicas sismológicas como otras variedades de prospección presentan dificultades. La velocidad de propagación de la onda S en los 30 primeros metros VS30, es ampliamente reconocida como un parámetro equivalente válido para caracterizar geotécnicamente el subsuelo y se halla matemáticamente relacionada con la velocidad de propagación de las ondas superficiales a observar mediante la técnica ReMi. Su observación permite el análisis espectral de los registros adquiridos, obteniéndose un modelo representado por la curva de dispersión de cada emplazamiento, de modo que mediante una inversión se obtiene el modelo de velocidad de propagación en función de la profundidad. A través de estos modelos, pueden obtenerse otros parámetros de interés sismológico. Estos resultados se representan sobre mapas isométricos para obtener una relación espacial de los mismos, particularmente conocido como zonación sísmica. De este análisis se extrae que la VS30 promedio del Campus no es baja en exceso, correspondiéndose a posteriori con los resultados de amplificación sísmica, período fundamental de resonancia del lugar y profundidad del sustrato rocoso. En última instancia se comprueba que los valores de amplificación sísmica máxima y el período al cual se produce posiblemente coincidan con los períodos fundamentales de resonancia de algunos edificios del Campus. ABSTRACT In South Campus at Polytechnic University of Madrid, a project has been carried out to obtain a proper subsoil description by applying ReMi tests, in collaboration with the Department of Geophysics of the National Geographic Institute. Through geophysical tests conducted locally, the ReMi (Refraction Microtremor) technique allows to establish the physical parameters of soil, which are of special interest in the field of civil engineering. This technique is part of passive seismic methods, often used in geophysical prospecting. It focuses in obtaining the underlying model of propagation velocity distribution of the shear wave according to depth and has the advantage of being able to use seismic ambient noise as a source of energy. It was developed in the Nevada Seismological Laboratory (USA) by Louie (2001) as an innovative technique for obtaining propagation velocities experimentally. It has several other advantages, including the direct observation of the dispersion of surface waves, which allows to reliably measure S wave velocity. This is a non-invasive, low cost and good resolution method, which can be applied in urban or sensitive environments where other prospection methods present difficulties. The propagation velocity of shear waves in the first 30 meters Vs30 is widely recognized as a valid equivalent parameter to geotechnically characterize the subsurface. It is mathematically related to surface wave's velocity of propagation, which are to observe using REMI technique. Spectral analysis of acquired data sets up a model represented by the dispersion curve at each site, so that, using an inversion process, propagation velocity model in relation to depth is obtained. Through this models, other seismologically interesting parameters can be obtained. These results are represented on isometric maps in order to obtain a spatial relationship between them, a process which is known as seismic zonation. This analysis infers that Vs30 at South Campus is not alarmingly low , corresponding with subsequent results of seismic amplification, fundamental period of resonance of soil and depth of bedrock. Ultimately, it's found that calculated values of soil's fundamental periods at which maximum seismic amplification occurs, may possibly match fundamental periods of some Campus buildings.

Two-dimensional isostatic meshes in the finite element method

In a Finite Element (FE) analysis of elastic solids several items are usually considered, namely, type and shape of the elements, number of nodes per element, node positions, FE mesh, total number of degrees of freedom (dot) among others. In this paper a method to improve a given FE mesh used for a particular analysis is described. For the improvement criterion different objective functions have been chosen (Total potential energy and Average quadratic error) and the number of nodes and dof's of the new mesh remain constant and equal to the initial FE mesh. In order to find the mesh producing the minimum of the selected objective function the steepest descent gradient technique has been applied as optimization algorithm. However this efficient technique has the drawback that demands a large computation power. Extensive application of this methodology to different 2-D elasticity problems leads to the conclusion that isometric isostatic meshes (ii-meshes) produce better results than the standard reasonably initial regular meshes used in practice. This conclusion seems to be independent on the objective function used for comparison. These ii-meshes are obtained by placing FE nodes along the isostatic lines, i.e. curves tangent at each point to the principal direction lines of the elastic problem to be solved and they should be regularly spaced in order to build regular elements. That means ii-meshes are usually obtained by iteration, i.e. with the initial FE mesh the elastic analysis is carried out. By using the obtained results of this analysis the net of isostatic lines can be drawn and in a first trial an ii-mesh can be built. This first ii-mesh can be improved, if it necessary, by analyzing again the problem and generate after the FE analysis the new and improved ii-mesh. Typically, after two first tentative ii-meshes it is sufficient to produce good FE results from the elastic analysis. Several example of this procedure are presented.