SYNCHRONIZATION OF A CLASS OF SECOND-ORDER NONLINEAR SYSTEMS

The asymptotic behavior of a class of coupled second-order nonlinear dynamical systems is studied in this paper. Using very mild assumptions on the vector-field, conditions on the coupling parameters that guarantee synchronization are provided. The proposed result does not require solutions to be ultimately bounded in order to prove synchronization, therefore it can be used to study coupled systems that do not globally synchronize, including synchronization of unbounded solutions. In this case, estimates of the synchronization region are obtained. Synchronization of two-coupled nonlinear pendulums and two-coupled Duffing systems are studied to illustrate the application of the proposed theory.

Las reformas administrativas de las entidades territoriales: Una mirada desde sus limitaciones, controles y riesgos

Teniendo en cuenta los importantes aportes efectuados desde los estudios académicos a los procesos de reforma administrativa, la importancia de las reformas administrativas en un mundo cada vez más globalizado y la necesidad de profundizar en las reformas administrativas de las entidades territoriales, este trabajo de investigación tiene por objeto analizar el marco conceptual, normativo y jurisprudencial de las reformas administrativas, estudiando con detalle sus limitaciones y su control, particularmente para el caso de las entidades territoriales en Colombia. De este modo, con ocasión de esta investigación se busca identificar de forma clara el panorama sobre aquellos aspectos en los que las entidades territoriales tienen un mayor o menor grado de autonomía para llevar a cabo sus procesos de reforma administrativa, de tal forma que sea posible identificar algunos riesgos relevantes asociados a dicho panorama. Así, como importantes logros u objetivos de esta investigación se destacan los siguientes: (i) identificar y analizar las principales aproximaciones doctrinales realizadas a nivel mundial sobre las reformas administrativas, (ii) describir aquellos aspectos en los que las entidades territoriales tienen mayor o menor autonomía para adelantar sus procesos de reforma administrativa, (iii) analizar las clases de controles aplicables a estos procesos profundizando en aquellos aspectos que pueden generar su nulidad e (iv) identificar una serie de riesgos a los que están sometidos los procesos de reforma administrativa de las entidades territoriales en Colombia. Todo lo anterior permitirá responder con claridad la siguiente pregunta que ha sido una idea estructural a partir de la cual se ha desarrollado esta investigación: ¿Cuál es el marco conceptual, las limitaciones, los controles y los riesgos de las reformas administrativas a ser adelantadas por las entidades territoriales en Colombia?

Balance-bot

Research on inverted pendulum has gained momentum over the last decade on a number of robotic laboratories over the world; due to its unstable proprieties is a good example for control engineers to verify a control theory. To verify that the pendulum can balance we can make some simulations using a closed-loop controller method such as the linear quadratic regulator or the proportional–integral–derivative method. Also the idea of robotic teleoperation is gaining ground. Controlling a robot at a distance and doing that precisely. However, designing the tool to takes the best benefit of the human skills while keeping the error minimal is interesting, and due to the fact that the inverted pendulum is an unstable system it makes a compelling test case for exploring dynamic teleoperation. Therefore this thesis focuses on the construction of a two-wheel inverted pendulum robot, which sensor we can use to do that, how they must be integrated in the system and how we can use a human to control an inverted pendulum. The inverted pendulum robot developed employs technology like sensors, actuators and controllers. This Master thesis starts by presenting an introduction to inverted pendulums and some information about related areas such as control theory. It continues by describing related work in this area. Then we describe the mathematical model of a two-wheel inverted pendulum and a simulation made in Matlab. We also focus in the construction of this type of robot and its working theory. Because this is a mobile robot we address the theme of the teleoperation and finally this thesis finishes with a general conclusion and ideas of future work.

Escape in a nonideal electro-mechanical system

In this work a particular system is investigated consisting of a pendalum whose point of support is vibrated along a horizontal guide by a two bar linkage driven from a DC motor, considered as a limited power source. This system is nonideal since the oscillatory motion of the pendulum influences the speed of the motor and vice-versa, reflecting in a more complicated dynamical process. This work comprises the investigation of the phenomena that appear when the frequency of the pendulum draws near a secondary resonance region, due to the existing nonlinear interactions in the system. Also in this domain due to the power limitation of the motor, the frequency of the pendulum can be captured at resonance modifying completely the final response of the system. This behavior is known as Sommerfield effect and it will be studied here for a nonlinear system.

State Dependent Riccati Equation (SDRE) control method applied in cancellation of a parametric resonance in a magnetically levitated body

Here, a simplified dynamical model of a magnetically levitated body is considered. The origin of an inertial Cartesian reference frame is set at the pivot point of the pendulum on the levitated body in its static equilibrium state (ie, the gap between the magnet on the base and the magnet on the body, in this state). The governing equations of motion has been derived and the characteristic feature of the strategy is the exploitation of the nonlinear effect of the inertial force associated, with the motion of a pendulum-type vibration absorber driven, by an appropriate control torque [4]. In the present paper, we analyzed the nonlinear dynamics of problem, discussed the energy transfer between the main system and the pendulum in time, and developed State Dependent Riccati Equation (SDRE) control design to reducing the unstable oscillatory movement of the magnetically levitated body to a stable fixed point. The simulations results showed the effectiveness of the (SDRE) control design. Copyright © 2011 by ASME.

Oxygen Interstitial Dynamics in Bi(2)Sr(2)CaCu(2)O(8+delta) Oxides Measured by Mechanical Spectroscopy

Many researchers became interested in the discovery of Bi(2)Sr(2)CaCu(2)O(8+delta) oxides with critical temperature of around 80 K. It is known that the critical temperature is related to the CuO2 planes of the material. For this reason, the study of the interstitial oxygen in these oxides is of great relevance. The samples were prepared by means of conventional solid state reactions, through the stoichiometric mixture of precursory powders. After the sinterization, the samples were submitted to measurements of density, electrical resistivity, x-ray diffraction, scanning electron microscopy and energy dispersion spectroscopy, with the objective of performing their characterization. The measurements of mechanical spectroscopy were performed by a torsion pendulum. The results show three relaxation processes in the temperature range of 200 and 700 K, with activation energy of approximately 0.9 eV, which has been attributed to the dynamics of the interstitial oxygen present in the material.

Auscultación de presas de hormigón con láser escáner terrestre y modelización de las deformaciones del paramento

Se está produciendo en la geodesia un cambio de paradigma en la concepción de los modelos digitales del terreno, pasando de diseñar el modelo con el menor número de puntos posibles a hacerlo con cientos de miles o millones de puntos. Este cambio ha sido consecuencia de la introducción de nuevas tecnologías como el escáner láser, la interferometría radar y el tratamiento de imágenes. La rápida aceptación de estas nuevas tecnologías se debe principalmente a la gran velocidad en la toma de datos, a la accesibilidad por no precisar de prisma y al alto grado de detalle de los modelos. Los métodos topográficos clásicos se basan en medidas discretas de puntos que considerados en su conjunto forman un modelo; su precisión se deriva de la precisión en la toma singular de estos puntos. La tecnología láser escáner terrestre (TLS) supone una aproximación diferente para la generación del modelo del objeto observado. Las nubes de puntos, producto del escaneo con TLS, pasan a ser tratadas en su conjunto mediante análisis de áreas, de forma que ahora el modelo final no es el resultado de una agregación de puntos sino la de la mejor superficie que se adapta a las nubes de puntos. Al comparar precisiones en la captura de puntos singulares realizados con métodos taquimétricos y equipos TLS la inferioridad de estos últimos es clara; sin embargo es en el tratamiento de las nubes de puntos, con los métodos de análisis basados en áreas, se han obtenido precisiones aceptables y se ha podido considerar plenamente la incorporación de esta tecnología en estudios de deformaciones y movimientos de estructuras. Entre las aplicaciones del TLS destacan las de registro del patrimonio, registro de las fases en la construcción de plantas industriales y estructuras, atestados de accidentes y monitorización de movimientos del terreno y deformaciones de estructuras. En la auscultación de presas, comparado con la monitorización de puntos concretos dentro, en coronación o en el paramento de la presa, disponer de un modelo continuo del paramento aguas abajo de la presa abre la posibilidad de introducir los métodos de análisis de deformaciones de superficies y la creación de modelos de comportamiento que mejoren la comprensión y previsión de sus movimientos. No obstante, la aplicación de la tecnología TLS en la auscultación de presas debe considerarse como un método complementario a los existentes. Mientras que los péndulos y la reciente técnica basada en el sistema de posicionamiento global diferencial (DGPS) dan una información continua de los movimientos de determinados puntos de la presa, el TLS permite ver la evolución estacional y detectar posibles zonas problemáticas en todo el paramento. En este trabajo se analizan las características de la tecnología TLS y los parámetros que intervienen en la precisión final de los escaneos. Se constata la necesidad de utilizar equipos basados en la medida directa del tiempo de vuelo, también llamados pulsados, para distancias entre 100 m y 300 m Se estudia la aplicación del TLS a la modelización de estructuras y paramentos verticales. Se analizan los factores que influyen en la precisión final, como el registro de nubes, tipo de dianas y el efecto conjunto del ángulo y la distancia de escaneo. Finalmente, se hace una comparación de los movimientos dados por los péndulos directos de una presa con los obtenidos del análisis de las nubes de puntos correspondientes a varias campañas de escaneos de la misma presa. Se propone y valida el empleo de gráficos patrón para relacionar las variables precisión o exactitud con los factores distancia y ángulo de escaneo en el diseño de trabajos de campo. Se expone su aplicación en la preparación del trabajo de campo para la realización de una campaña de escaneos dirigida al control de movimientos de una presa y se realizan recomendaciones para la aplicación de la técnica TLS a grandes estructuras. Se ha elaborado el gráfico patrón de un equipo TLS concreto de alcance medio. Para ello se hicieron dos ensayos de campo en condiciones reales de trabajo, realizando escaneos en todo el rango de distancias y ángulos de escaneo del equipo. Se analizan dos métodos para obtener la precisión en la modelización de paramentos y la detección de movimientos de estos: el método del “plano de mejor ajuste” y el método de la “deformación simulada”. Por último, se presentan los resultados de la comparación de los movimientos estacionales de una presa arco-gravedad entre los registrados con los péndulos directos y los obtenidos a partir de los escaneos realizados con un TLS. Los resultados muestran diferencias de milímetros, siendo el mejor de ellos del orden de un milímetro. Se explica la metodología utilizada y se hacen consideraciones respecto a la densidad de puntos de las nubes y al tamaño de las mallas de triángulos. A shift of paradigm in the conception of the survey digital models is taking place in geodesy, moving from designing a model with the fewer possible number of points to models of hundreds of thousand or million points. This change has happened because of the introduction of new technologies like the laser scanner, the interferometry radar and the processing of images. The fast acceptance of these new technologies has been due mainly to the great speed getting the data, to the accessibility as reflectorless technique, and to the high degree of detail of the models. Classic survey methods are based on discreet measures of points that, considered them as a whole, form a model; the precision of the model is then derived from the precision measuring the single points. The terrestrial laser scanner (TLS) technology supposes a different approach to the model generation of the observed object. Point cloud, the result of a TLS scan, must be treated as a whole, by means of area-based analysis; so, the final model is not an aggregation of points but the one resulting from the best surface that fits with the point cloud. Comparing precisions between the one resulting from the capture of singular points made with tachometric measurement methods and with TLS equipment, the inferiority of this last one is clear; but it is in the treatment of the point clouds, using area-based analysis methods, when acceptable precisions have been obtained and it has been possible to consider the incorporation of this technology for monitoring structures deformations. Among TLS applications it have to be emphasized those of registry of the cultural heritage, stages registry during construction of industrial plants and structures, police statement of accidents and monitorization of land movements and structures deformations. Compared with the classical dam monitoring, approach based on the registry of a set of points, the fact having a continuous model of the downstream face allows the possibility of introducing deformation analysis methods and behavior models that would improve the understanding and forecast of dam movements. However, the application of TLS technology for dam monitoring must be considered like a complementary method with the existing ones. Pendulums and recently the differential global positioning system (DGPS) give a continuous information of the movements of certain points of the dam, whereas TLS allows following its seasonal evolution and to detect damaged zones of the dam. A review of the TLS technology characteristics and the factors affecting the final precision of the scanning data is done. It is stated the need of selecting TLS based on the direct time of flight method, also called pulsed, for scanning distances between 100m and 300m. Modelling of structures and vertical walls is studied. Factors that influence in the final precision, like the registry of point clouds, target types, and the combined effect of scanning distance and angle of incidence are analyzed. Finally, a comparison among the movements given by the direct pendulums of a dam and the ones obtained from the analysis of point clouds is done. A new approach to obtain a complete map-type plot of the precisions of TLS equipment based on the direct measurement of time of flight method at midrange distances is presented. Test were developed in field-like conditions, similar to dam monitoring and other civil engineering works. Taking advantage of graphic semiological techniques, a “distance - angle of incidence” map based was designed and evaluated for field-like conditions. A map-type plot was designed combining isolines with sized and grey scale points, proportional to the precision values they represent. Precisions under different field conditions were compared with specifications. For this purpose, point clouds were evaluated under two approaches: the standar "plane-of-best-fit" and the proposed "simulated deformation”, that showed improved performance. These results lead to a discussion and recommendations about optimal TLS operation in civil engineering works. Finally, results of the comparison of seasonal movements of an arc-gravity dam between the registered by the direct pendulums ant the obtained from the TLS scans, are shown. The results show differences of millimeters, being the best around one millimeter. The used methodology is explained and considerations with respect to the point cloud density and to the size of triangular meshes are done.

The summary of a course of experimental lectures in natural philosophy by Dr. John Winthrop (manuscript copy), 1772-1774

Notebook with a handwritten copy of lecture summaries for a physics course given by Harvard Professor John Winthrop. The notes were made by Timothy Foster in 1772 and 1773. The volume contains twenty-five lectures with some diagrams.

Compliance and crashworthiness tests on an electric vehicle - 1975 Metro-Electric 4-door sedan. Final report.

National Highway Traffic Safety Administration, Washington, D.C.

Laboratory evaluation of existing breakaway structures. Volume I: executive summary. Final report.

Federal Highway Administration, Office of Research, Washington, D.C.

Laboratory evaluation of existing breakaway structures. Volume II: technical results. Final report.

Federal Highway Administration, Office of Research, Washington, D.C.

Dynamic testing of luminaire supports with an improved pendulum impact facility. Final report.

Mode of access: Internet.

An account of experiments to determine the figure of the earth : by means of the pendulum vibrating seconds in different latitudes, as well as on various other subjects of philosophical inquiry /

"Printed at the expense of the Board of Longitude."

A neuro-mechanical model for interpersonal coordination

The present study investigates the coordination between two people oscillating handheld pendulums, with a special emphasis on the influence of the mechanical properties of the effector systems involved. The first part of the study is an experiment in which eight pairs of participants are asked to coordinate the oscillation of their pendulum with the other participant's in an in-phase or antiphase fashion. Two types of pendulums, A and B, having different resonance frequencies (Freq A=0.98 Hz and Freq B=0.64 Hz), were used in different experimental combinations. Results confirm that the preferred frequencies produced by participants while manipulating each pendulum individually were close to the resonance frequencies of the pendulums. In their attempt to synchronize with one another, participants met at common frequencies that were influenced by the mechanical properties of the two pendulums involved. In agreement with previous studies, both the variability of the behavior and the shift in the intended relative phase were found to depend on the task-effector asymmetry, i.e., the difference between the mechanical properties of the effector systems involved. In the second part of the study, we propose a model to account for these results. The model consists of two cross-coupled neuro-mechanical units, each composed of a neural oscillator driving a wrist-pendulum system. Taken individually, each unit reproduced the natural tendency of the participants to freely oscillate a pendulum close to its resonance frequency. When cross-coupled through the vision of the pendulum of the other unit, the two units entrain each other and meet at a common frequency influenced by the mechanical properties of the two pendulums involved. The ability of the proposed model to address the other effects observed as a function of the different conditions of the pendulum and intended mode of coordination is discussed.