Analysis of the railway track as a spatially periodic structure

This article presents a new and computationally efficient method of analysis of a railway track modelled as a continuous beam of 2N spans supported by elastic vertical springs. The main feature of this method is its important reduction in computational effort with respect to standard matrix methods of structural analysis. In this article, the whole structure is considered to be a repetition of a single one. The analysis presented is applied to a simple railway track model, i.e. to a repetitive beam supported on vertical springs (sleepers). The proposed method of analysis is based on the general theory of spatially periodic structures. The main feature of this theory is the possibility to apply Discrete Fourier Transform (DFT) in order to reduce a large system of q(2N + 1) linear stiffness equilibrium equations to a set of 2N + 1 uncoupled systems of q equations each. In this way, a dramatic reduction of the computational effort of solving the large system of equations is achieved. This fact is particularly important in the analysis of railway track structures, in which N is a very large number (around several thousands), and q = 2, the vertical displacement and rotation, is very small. The proposed method allows us to easily obtain the exact solution given by Samartín [1], i.e. the continuous beam railway track response. The comparison between the proposed method and other methods of analysis of railway tracks, such as Lorente de Nó and Zimmermann-Timoshenko, clearly shows the accuracy of the obtained results for the proposed method, even for low values of N. In addition, identical results between the proposed and the Lorente methods have been found, although the proposed method seems to be of simpler application and computationally more efficient than the Lorente one. Small but significative differences occur between these two methods and the one developed by Zimmermann-Timoshenko. This article also presents a detailed sensitivity analysis of the vertical displacement of the sleepers. Although standard matrix methods of structural analysis can handle this railway model, one of the objectives of this article is to show the efficiency of DFT method with respect to standard matrix structural analysis. A comparative analysis between standard matrix structural analysis and the proposed method (DFT), in terms of computational time, input, output and also software programming, will be carried out. Finally, a URL link to a MatLab computer program list, based on the proposed method, is given

Engineering analysis of ITER In-Vessel Viewing System guide tube

The In Vessel Viewing System (IVVS) will be one of the essential machine diagnostic systems at ITER to provide information about the status of in-vessel and plasma facing components and to evaluate the dust inside the Vacuum Vessel. The current design consists of six scanning probes and their deployment systems, which are placed in dedicated ports at the divertor level. These units are located in resident guiding tubes 10 m long, which allow the IVVS probes to go from their storage location to the scanning position by means of a simple straight translation. Moreover, each resident tube is supported inside the corresponding Vacuum Vessel and Cryostat port extensions, which are part of the primary confinement barrier. As the Vacuum Vessel and the Cryostat will move with respect to each other during operation (especially during baking) and during incidents and accidents (disruptions, vertical displacement events, seismic events), the structural integrity of the resident tube and the surrounding vacuum boundaries would be compromised if the required flexibility and supports are not appropriately assured. This paper focuses on the integration of the present design of the IVVS into the Vacuum Vessel and Cryostat environment. It presents the adopted strategy to withstand all the main interfacing loads without damaging the confinement barriers and the corresponding analysis supporting it.

Análisis de la marcha: evaluación de un exoesqueleto aplicado a la marcha asistida

La marcha humana es el mecanismo de locomoción por el cual el cuerpo humano se traslada en línea recta gracias a una serie de movimientos coordinados de la pelvis y de las articulaciones del miembro inferior. Frecuentemente se encuentra influenciada por factores biomecánicos, anatómicos o patologías del sistema neuromusculoesquelético que modifican la forma de caminar de cada individuo. La lesión de médula espinal es una de las patologías que afectan el desarrollo normal de los patrones de la marcha por alteración de la movilidad, de la sensibilidad o del sistema nervioso autónomo. Aunque la lesión medular afecta otras funciones, además de la pérdida de función motora y sensorial, la recuperación de la capacidad de caminar es la mayor prioridad identificada por los pacientes durante la rehabilitación. Por ello, el desarrollo de dispositivos que faciliten la rehabilitación o compensación de la marcha es uno de los principales objetivos de diferentes grupos de investigación y empresas. En el contexto del proyecto Hybrid Technological Platform for Rehabilitation, Functional Compensation and Training of Gait in Spinal Cord Injury Patients se ha desarrollado un dispositivo que combina una órtesis activa (exoesqueleto) y un andador motorizado. Este sistema, como otros dispositivos, tiene el movimiento humano como estándar de referencia, no obstante no se evalúa de manera habitual, cómo es el patrón de la marcha reproducido y su similitud o diferencias con la marcha humana, o las modificaciones o adaptaciones en la interacción con el cuerpo del paciente. El presente estudio trata de examinar las características de la marcha normal en diversos grupos de población, y las diferencias con el patrón de marcha lenta. Finalmente, se pretende evaluar qué modificaciones y adaptaciones sufre el patrón de marcha lenta teórico al ser reproducido por el exoesqueleto. La presente investigación consiste en un estudio cuantitativo transversal desarrollado en dos etapas: estudio 1 y estudio 2. En el estudio 1 se analizó el patrón de la marcha a velocidad libremente seleccionada (normal) y el patrón de la marcha a velocidad lenta (0.25m/s) en 62 sujetos distribuidos en grupos considerando el sexo y los percentiles 25, 50 y 75 de estatura de la población española. Durante el estudio 2 se analizó el patrón de la marcha lenta reproducido por el dispositivo Hybrid a diferentes porcentajes de peso corporal (30%, 50% y 70%) en diez sujetos seleccionados aleatoriamente de la muestra del estudio 1. En ambos estudios se obtuvieron variables espacio-temporales y cinemáticas mediante un sistema de captura de movimiento con 6 cámaras distribuidas a lo largo de un pasillo de marcha. Se calcularon las medias, las desviaciones estándar y el 95% de intervalo de confianza, y el nivel alfa de significación se estableció en α=0.05 para todas las pruebas estadísticas. Las principales diferencias en el patrón normal de la marcha se encontraron en los parámetros cinemáticos de hombres y mujeres, aunque también se presentaron diferencias entre los grupos en función de la estatura. Las mujeres mostraron mayor flexión de cadera y rodilla, y mayor extensión de tobillo que los hombres durante el ciclo normal, aunque la basculación lateral de la pelvis, mayor en las mujeres, y el desplazamiento lateral del centro de gravedad, mayor en los hombres, fueron los parámetros identificados como principales discriminantes entre sexos. La disminución de la velocidad de la marcha mostró similares adaptaciones y modificaciones en hombres y en mujeres, presentándose un aumento de la fase de apoyo y una disminución de la fase de oscilación, un retraso de los máximos y mínimos de flexoextensión de cadera, rodilla y tobillo, y una disminución del rango articular en las tres articulaciones. Asimismo, la basculación lateral de la pelvis y el movimiento vertical del centro de gravedad disminuyeron, mientras que el movimiento lateral del centro de gravedad y el ancho de paso aumentaron. Durante la evaluación del patrón de la marcha reproducido por el exoesqueleto se observó que las tres articulaciones del miembro inferior disminuían el rango de movimiento por la falta de fuerza de los motores para contrarrestar el peso corporal, incluso con un 70% de descarga de peso. Además, la transferencia de peso se encontró limitada por la falta de movimiento de la pelvis en el plano frontal y se sustituyó por un aumento de la inclinación del tronco y, por tanto, del movimiento lateral del centro de gravedad. Este hecho, junto al aumento del desplazamiento vertical del centro de gravedad, hizo del patrón de la marcha reproducido por el exoesqueleto un movimiento poco eficiente. En conclusión, se establecen patrones de marcha normal diferenciados por sexos, siendo la basculación lateral de la pelvis y el movimiento lateral del centro de gravedad los parámetros discriminantes más característicos entre sexos. Comparando la marcha a velocidad libremente seleccionada y la velocidad lenta, se concluye que ambos sexos utilizan estrategias similares para adaptar el patrón de la marcha a una velocidad lenta y se mantienen las características diferenciadoras entre hombres y mujeres. En relación a la evaluación del dispositivo Hybrid, se deduce que la falta de movimiento lateral de la pelvis condiciona la transferencia de peso y el aumento del rango de movimiento del centro de gravedad y, en consecuencia, tiene como resultado un patrón de la marcha poco eficiente. Este patrón no resultaría indicado para los procesos de rehabilitación o recuperación de la marcha, aunque podría considerarse adecuado para la compensación funcional de la bipedestación y la locomoción. ABSTRACT The human walking is a means of moving body forward using a repetitious and coordinated sequence of pelvis and lower limb motions. It is frequently influenced by biomechanical and anatomical factors or by musculoskeletal pathologies which modify the way of walking. The spinal injury is one of those pathologies which affect the normal pattern of walking, due to the alteration of the mobility, the sensory or the autonomic nervous system. Although the spinal injury affects many other body functions, apart from the motor and sensory ones, the main priority for patients is to recover the ability of walking. Consequently, the main objective of many research groups and private companies is the development of rehabilitation and compensation devices for walking. In this context, the Hybrid Technological Platform for Rehabilitation, Functional Compensation and Training of Gait in Spinal Cord Injury Patients project has developed a device which integrates an exoskeleton and a motorized smart walker. This system, as other similar devices, has the human movement as standard reference. Nevertheless, these devices are not usually evaluated on the way they reproduce the normal human pattern or on the modifications and in the interactions with the patient’s body. The aim of the present study is to examine the normal walking characteristics, to analyze the differences between self-selected and low speed walking patterns, and to evaluate the modifications and adaptations of walking pattern when it is reproduced by the exoskeleton. The present research is a quantitative cross-sectional study carried out in two phases: study 1 and study 2. During the study 1, the self-selected and the low speed (0.25m/s) walking patterns were analyzed in sixty-two people distributed in groups, according to sex and 25th, 50th and 75th percentiles of height for Spanish population. The study 2 analyzed the low speed walking pattern reproduced by the Hybrid system in three conditions: 30%, 50% and 70% of body weight support. To do this, ten subjects were randomly selected and analyzed from the people of study 1. An optoelectronic system with six cameras was used to obtain spatial, temporal and kinematic parameters in both studies. Means, standard deviations and 95% confidence intervals of the study were calculated. The alpha level of significance was set at α=0.05 for all statistical tests. The main differences in normal gait pattern were found in kinematic parameters between men and women. The hip and the knee were more flexed and the ankle plantar flexion was higher in women than in men during normal gait cycle. Although the greater pelvic obliquity of women and the higher lateral movement of center of gravity of men were the most relevant discriminators between male and female gait patterns. Comparing self-selected and low speed walking patterns, both sexes showed similar adaptations and modifications. At low speed walking, men and women increased the stance phase ratio and decreased the swing phase ratio. The maximum and minimum peak flexion of hip, knee and ankle appeared after and the range of motion of them decreased during low speed walking. Furthermore, the pelvic obliquity and the vertical movement of the center of gravity decreased, whereas the lateral movement of center of gravity and step width increased. Evaluating the gait pattern reproduced by the exoskeleton, a decrease of lower limb range of motion was observed. This was probably due to the lack of strength of the engines, which were not able to control the body weight, even with the 70% supported. Moreover, the weight transfer from one limb to the contralateral side was restricted due to the lack of pelvis obliquity. This movement deficiency was replaced by the lateral torso sway and, consequently, the increase of lateral movement of the center of gravity. This fact, as well as the increase of the vertical displacement of the center of gravity, made inefficient the gait pattern reproduced by the exoskeleton. In conclusion, different gait patterns of both sexes have been determined, being pelvis obliquity and lateral movement of center of gravity the most relevant discriminators between male and female gait patterns. Comparing self-selected and low speed walking patterns, it was concluded that both sexes use similar strategies for adapting the gait pattern to a low speed, and therefore, the differentiating characteristics of normal gait are maintained. Regarding the Hybrid system evaluation, it was determined that the gait pattern reproduced by the exoskeleton is inefficient. This was due to the lack of pelvis obliquity and the increase of the center of gravity displacement. Consequently, whereas the walking pattern reproduced by the exoskeleton would not be appropriated for the rehabilitation process, it could be considered suitable for functional compensation of walking and standing.

Ventilation rate and behavioural responses of two species of intertidal goby (Pisces : Gobiidae) at extremes of environmental temperature

We investigated the behavioural responses of two gobiid fish species to temperature to determine if differences in behaviour and ventilation rate might explain any apparent vertical zonation. A survey of the shore at Manly, Moreton Bay revealed Favonigobius exquisitus to dominate the lower shore and Pseudogobius sp. 4 the upper shore. These species were exposed to a range of temperatures (15-40 degreesC) in aquaria for up to 6 h. At 20 degreesC F. exquisitus exhibited a mean gill ventilation rate of 26 +/- 1.4 bpm (beats per minute) differing significantly from Pseudogobius, which ventilated at a fivefold greater rate of 143 +/- 6 bpm. The ventilation rate in F. exquisitus underwent a fivefold increase from normal local water temperature (20 degreesC) to high temperature (35 degreesC) conditions, whereas that of Pseudogobius did not even double, suggesting that Pseudogobius sp. is a better thermal regulator than F. exquisitus. While both species emerged from the water at high temperatures (>30 degreesC) the behaviours they exhibited while immersed at high temperature were quite different. F. exquisitus undertook vertical displacement movements we interpret as an avoidance response, whereas Pseudogobius sp. appeared to use a coping strategy involving movements that might renew the water mass adjacent to its body. The thermal tolerances and behaviours of F. exquisitus and Pseudogobius sp. are in broad agreement with their vertical distribution on the shore.

The strength of column-to-foundation joints in reinforced concrete

This thesis is concerned with the experimental and theoretical investigation into the compression bond of column longitudinal reinforcement in the transference of axial load from a reinforced concrete column to a base. Experimental work includes twelve tests with square twisted bars and twenty four tests with ribbed bars. The effects of bar size, anchorage length in the base, plan area of the base, provision of bae tensile reinforcement, links around the column bars in the base, plan area of column and concrete compressive strength were investigated in the tests. The tests indicated that the strength of the compression anchorage of deformed reinforcing steel in the concrete was primarily dependent on the concrete strength and the resistance to bursting, which may be available within the anchorage . It was shown in the tests without concreted columns that due to a large containment over the bars in the foundation, failure occurred due to the breakdown of bond followed by the slip of the column bars along the anchorage length. The experimental work showed that the bar size , the stress in the bar, the anchorage length, provision of the transverse steel and the concrete compressive strength significantly affect the bond stress at failure. The ultimate bond stress decreases as the anchorage length is increased, while the ultimate bond stress increases with increasing each of the remainder parameters. Tests with concreted columns also indicated that a section of the column contributed to the bond length in the foundation by acting as an extra anchorage length. The theoretical work is based on the Mindlin equation( 3), an analytical method used in conjunction with finite difference calculus. The theory is used to plot the distribution of bond stress in the elastic and the elastic-plastic stage of behaviour. The theory is also used to plot the load-vertical displacement relationship of the column bars in the anchorage length, and also to determine the theoretical failure load of foundation. The theoretical solutions are in good agreement with the experimental results and the distribution of bond stress is shown to be significantly influenced by the bar stiffness factor K. A comparison of the experimental results with the current codes shows that the bond stresses currently used are low and in particular, CPIlO(56) specifies very conservative design bond stresses .

Condylar displacement between centric relation and maximum intercuspation in symptomatic and asymptomatic individuals

Objective: To measure condylar displacement between centric relation (CR) and maximum intercuspation (MIC) in symptomatic and asymptomatic subjects. Materials and Methods: The sample comprised 70 non-deprogrammed individuals, divided equally into two groups, one symptomatic and the other asymptomatic, grouped according to the research diagnostic criteria for temporomandibular disorders (RDC/TMD). Condylar displacement was measured in three dimensions with the condylar position indicator (CPI) device. Dahlberg's index, intraclass correlation coefficient, repeated measures analysis of variance, analysis of variance, and generalized estimating equations were used for statistical analysis. Results: A greater magnitude of difference was observed on the vertical plane on the left side in both symptomatic and asymptomatic individuals (P = .033). The symptomatic group presented higher measurements on the transverse plane (P = .015). The percentage of displacement in the mesial direction was significantly higher in the asymptomatic group than in the symptomatic one (P = .049). Both groups presented a significantly higher percentage of mesial direction on the right side than on the left (P = .036). The presence of bilateral condylar displacement (left and right sides) in an inferior and distal direction was significantly greater in symptomatic individuals (P = .012). However, no statistical difference was noted between genders. Conclusion: Statistically significant differences between CR and MIC were quantifiable at the condylar level in asymptomatic and symptomatic individuals. (Angle Orthod. 2010;80:835-842.)

Effect of multiple transverse modes in self-mixing sensors based on vertical-cavity surface-emitting lasers

We investigate the effect of coexisting transverse modes on the operation of self-mixing sensors based on vertical-cavity surface-emitting lasers (VCSELs). The effect of multiple transverse modes on the measurement of displacement and distance were examined by simulation and in laboratory experiment. The simulation model shows that the periodic change in the shape and magnitude of the self-mixing signal with modulation current can be properly explained by the different frequency-modulation coefficients of the respective transverse modes in VCSELs. The simulation results are in excellent agreement with measurements performed on single-mode and multimode VCSELs and on self-mixing sensors based on these VCSELs.

A new look at stratospheric sudden warmings. Part III. Polar vortex evolution and vertical structure

The evolution of the Arctic polar vortex during observed major mid-winter stratospheric sudden warmings (SSWs) is investigated for the period 1957-2002, using European Centre for Medium-Range Weather Forecasts (ECMWF) ERA-40 Ertel’s potential vorticity (PV) and temperature fields. Time-lag composites of vertically weighted PV, calculated relative to the SSW onset time, are derived for both vortex displacement SSWs and vortex splitting SSWs, by averaging over the 15 recorded displacement and 13 splitting events. The evolving vertical structure of the polar vortex during a typical SSW of each type is clearly illustrated by plotting an isosurface of the composite PV field, and is shown to be very close to that observed during representative individual events. Results are verified by comparison with an elliptical diagnostic vortex moment technique. For both types of SSW, little variation is found between individual events in the orientation of the developing vortex relative to the underlying topography, i.e. the location of the vortex during SSWs of each type is largely fixed in relation to the Earth’s surface. During each type of SSW, the vortex is found to have a distinctive vertical structure. Vortex splitting events are typically barotropic, with the vortex split occurring near-simultaneously over a large altitude range (20-40 km). In the majority of cases, of the two daughter vortices formed, it is the ‘Siberian’ vortex that dominates over its ‘Canadian’ counterpart. In contrast, displacement events are characterized by a very clear baroclinic structure; the vortex tilts significantly westward with height, so that the top and bottom of the vortex are separated by nearly 180◦ longitude before the upper vortex is sheared away and destroyed.

Theoretical and experimental investigation of wall confluent jets ventilation and comparison with wall displacement ventilation

This paper reports CFD and experimental results of the characteristics of wall confluent jets in a room. The results presented show the behaviour of wall confluent jets in the form of velocity profiles, the spreading rate of jets on the surface, jets decay, etc. The empirical equations derived are compared with other types of air jets. In addition, the flow in wall confluent jets is compared with the flow in displacement ventilation supply, with regards to the vertical and horizontal spreading on the floor. It is concluded that the jet momentum of wall confluent jets can be more conserved than other jets. Thus, wall confluent jets have a greater spread over the floor than displacement flow.

Resonance response of electrorheological fluids in vertical oscillation squeeze flow

The resonance effect of microcrystalline cellulose/castor oil electrorheological (ER) suspensions was studied in a compressed oscillatory squeeze flow under external electric fields. The resonance frequency first increases linearly with increasing external held, and then shift to high-field plateau. The amplitudes of resonance peak increase sharply with the applied fields in the range of 0.17-1.67kV/mm. The phase difference of the reduced displacement relative to the excitation force inverses in the case of resonance. A viscoelasticity model of the ER suspensions, which offers both the equivalent stiffness and the viscous damping, should be responsible for the appearance of resonance. The influence of the electric field on the resonance frequency and the resonance hump is consistent qualitatively with the interpretation of our proposed model. Storage modulus G' was presented for the purpose of investigating this influence.

Effects of displacement and trajectory length on the variability pattern of reaching movements

The design of the present study enabled the authors to distinguish between the possible effects of movement displacement and trajectory length on the pattern of final positions of planar reaching movements. With their eyes closed, 9 subjects performed series of fast and accurate movements from different initial positions to the same target. For some series, the movements were unconstrained and were therefore performed along an approximately straight vertical line. For other series, an obstacle was positioned so that trajectory length was increased because of an increase in movement curvature. Ellipses of variability obtained by means of principal component analysis applied to the scatter of movement final positions enabled the authors to assess the pattern of movement variable errors. The results showed that the orientation of the ellipses was not affected by movement displacement or by trajectory length, whereas variable errors increased with move ment displacement. An increase in trajectory length as a consequence of increased curvature caused no change in variable error. From the perspective of current motor control theory, that finding was quite unexpected. Further studies are required so that one can distinguish among the possible effects of various kinematics, kinetics, and other variables that could affect the pattern of variable errors of reaching movements.

Kinesiographic study of complete denture movement related to mucosa displacement in edentulous patients.

The mucosa that covers the residual ridges of edentulous patients may present some distortion or displacement when occlusal loading is applied in complete dentures. This distortion and movement of the denture can result in acceleration of residual ridge resorption and loss of retention and stability. The aim of this study was to analyze the pattern of upper complete denture movement related to underlying mucosa displacement. A sample of 10 complete denture wearers was randomly selected, which had acceptable upper and lower dentures and normal volume and resilience of residual ridges. The kinesiographic instrument K6-I Diagnostic System was used to measure denture movements, according to the method proposed by Maeda et al.7, 1984. Denture movements were measured under the following experimental conditions: (A) 3 maximum voluntary clenching cycles and (B) unilateral chewing for 20 seconds. The results showed that under physiological load, oral mucosa distortion has two distinct phases: a fast initial displacement as load is applied and a slower and incomplete recovery when load is removed. Intermittent loading such as chewing progressively reduces the magnitude of the denture displacement and the recovery of the mucosa is gradually more incomplete.

Influence of the construction bite vertical and horizontal dimensions on dentoskeletal structures induced by the Klammt appliance in Class II treatment

Aim: To evaluate the influence of construction bite in the dentoskeletal changes induced by Klammt Appliance. Methods: The sample consisted of 17 children, with Class II malocclusion and initial mean age of 8.5 years. The construction bite was obtained using an Exactobite on edge-toedge anteroposterior relationship with 3 mm interincisal clearance. The height of the acrylic was determined by initial overbite associated to interincisal clearance and measured with digital caliper. The amount of advancement was obtained and measured by initial overjet in the lateral radiography. Pearson's correlation, linear regression and ANOVA were used to determine the relationship between dentoskeletal and construction bite variables. Results: The increase in the height of the acrylic promotes a greater inhibition of the forward displacement of the nasal spine and reduction in the facial growth index. The increase in the mandibular advancement induces more downward displacement of nasal spine and pogonion; a counter-clockwise rotation of palatine plane; an increase in mandibular length, maxillary alveolar height and interincisal angle; a decrease in mandibular alveolar height, the intermaxillary discrepancy and overjet; and palatal tipping of upper incisors. Conclusions: The different dimensions of the construction bite influence the dentoskeletal changes induced by the appliance in Class II treatment.

Influence of a preventive training program on lower limb kinematics and vertical jump height of male volleyball athletes

Objective: To examine the influence of a preventative training program (PTP) on sagittal plane kinematics during different landing tasks and vertical jump height (VJH) in males. Design: Six weeks prospective exercise intervention. Participants: Fifteen male volleyball athletes (13 ± 0.7 years, 1.70 ± 0.12 m, 60 ± 12 kg). Interventions: PTP consisting of plyometric, balance and core stability exercises three times per week for six weeks. Bilateral vertical jumps with double leg (DL) and single leg (SL) landings were performed to measure the effects of training. Main outcome measurements: Kinematics of the knee and hip before and after training and VJH attained during both tasks after training. The hypothesis was that the PTP would produce improvements in VJH, but would not generate great changes in biomechanical behavior. Results: The only change identified for the SL was the longest duration of landing, which represents the time spent from initial ground contact to maximum knee flexion, after training, while increased angular displacement of the knee was observed during DL. The training did not significantly alter the VJH in either the SL (difference: 2.7 cm) or the DL conditions (difference: 3.5 cm). Conclusions: Despite the PTP's effectiveness in inducing some changes in kinematics, the changes were specific for each task, which highlights the importance of the specificity and individuality in selecting prevention injury exercises. Despite the absence of significant increases in the VJH, the absolute differences after training showed increases corroborating with the findings of statistically powerful studies that compared the results with control groups. The results suggest that short-term PTPs in low risk young male volleyball athletes may enhance performance and induce changes in some kinematic parameters. © 2012 Elsevier Ltd.