The aim of the thesis is to create an analytical 2D model of a multi-storey building and its consequent loading until the point of collapse which occures due to formation of plastic hinges. The first part is going to present a linear analysis of the problem; it focuses on location and level of load when the plastic hinges are formed. Then a nonlinaer analysis is going to be performed by RFEM programme using postcritical analysis and dynamic relaxation. Differences between the results of mentioned types and methods of analysis are going to be compared and an impact of variables is going to be evaluated .

La problématique étudiée dans cette thèse concerne le guidage en formation d’une flotte de robots mobiles en environnement naturel. L’objectif poursuivi par les robots est de suivre une trajectoire connue (totalement ou partiellement) en se coordonnant avec les autres robots pour maintenir une formation décrite comme un ensemble de distances désirées entre les véhicules. Le contexte d’évolution en environnement naturel doit être pris en compte par les effets qu’il induit sur le déplacement des robots. En effet, les conditions d’adhérence sont variables et créent des glissements significatifs des roues sur le sol. Ces glissements n’étant pas directement mesurables, un observateur est mis en place, permettant d’obtenir une estimation de leur valeur. Les glissements sont alors intégrés au modèle d’évolution, décrivant ainsi un modèle cinématique étendu. En s’appuyant sur ce modèle, des lois de commande adaptatives sur l’angle de braquage et la vitesse d’avance d’un robot sont alors conçues indépendamment, asservissant respectivement son écart latéral à la trajectoire et l’interdistance curviligne de ce robot à une cible. Dans un second temps, ces lois de commande sont enrichies par un algorithme prédictif, permettant de prendre en compte le comportement de réponse des actionneurs et ainsi d’éviter les erreurs conséquentes aux retards de la réponse du système aux commandes. À partir de la loi de commande élémentaire en vitesse permettant d’assurer un asservissement précis d’un robot par rapport à une cible, une stratégie de commande globale au niveau de la flotte est établie. Celle-ci décline l’objectif de maintien de la formation en consigne d’asservissement désiré pour chaque robot. La stratégie de commande bidirectionnelle conçue stipule que chaque robot définit deux cibles que sont le robot immédiatement précédent et le robot immédiatement suivant dans la formation. La commande de vitesse de chaque robot de la formation est obtenue par une combinaison linéaire des vitesses calculées par la commande élémentaire par rapport à chacune des cibles. L’utilisation de coefficients de combinaison constants au sein de la flotte permet de prouver la stabilité de la commande en formation, puis la définition de coefficients variables est envisagée pour adapter en temps réel le comportement de la flotte. La formation peut en effet être amenée à évoluer, notamment en fonction des impératifs de sécurisation des véhicules. Pour répondre à ce besoin, chaque robot estime en temps réel une distance d’arrêt minimale en cas d’urgence et des trajectoires d’urgence pour l’évitement du robot précédent. D’après la configuration de la formation et les comportements d’urgence calculés, les distances désirées au sein de la flotte peuvent alors être modifiées en ligne afin de décrire une configuration sûre de la formation. / This thesis focuses on the issue of the control of a formation of wheeled mobile robots travelling in off-road conditions. The goal of the application is to follow a reference trajectory (entirely or partially) known beforehand. Each robot of the fleet has to track this trajectory while coordinating its motion with the other robots in order to maintain a formation described as a set of desired distances between vehicles. The off-road context has to be considered thoroughly as it creates perturbations in the motion of the robots. The contact of the tire on an irregular and slippery ground induces significant slipping and skidding. These phenomena are hardly measurable with direct sensors, therefore an observer is set up in order to get an estimation of their value. The skidding effect is included in the evolution of each robot as a side-slip angle, thus creating an extended kinematic model of evolution. From this model, adaptive control laws on steering angle and velocity for each robot are designed independently. These permit to control respectively the lateral distance to the trajectory and the curvilinear interdistance of the robot to a target. Predictive control techniques lead then to extend these control laws in order to account for the actuators behavior so that positioning errors due to the delay of the robot response to the commands are cancelled. The elementary control law on the velocity control ensures an accurate longitudinal positioning of a robot with respect to a target. It serves as a base for a global fleet control strategy which declines the overall formation maintaining goal in local positioning objective for each robot. A bidirectionnal control strategy is designed, in which each robot defines 2 targets, the immediate preceding and following robot in the fleet. The velocity control of a robot is finally defined as a linear combination of the two velocity commands obtained by the elementary control law for each target. The linear combination parameters are investigated, first defining constant parameters for which the stability of the formation is proved through Lyapunov techniques, then considering the effect of variable coefficients in order to adapt in real time the overall behavior of the formation. The formation configuration can indeed be prone to evolve, for application purposes and to guarantee the security of the robots. To fulfill this latter requirement, each robot of the fleet estimates in real time a minimal stopping distance in case of emergency and two avoidance trajectories to get around the preceding vehicle if this one suddenly stops. Given the initial configuration of the formation and the emergency behaviors calculated, the desired distances between the robots can be adapted so that the new configuration thus described ensures the security of each and every robot of the formation against potential collisions.

In der vorliegenden Arbeit werden mithilfe von Methoden zur numerischen Behandlung schwach besetzter Matrizen O(n³)- und O(n)-Berechnungsalgorithmen für Mehrkörpersysteme aus deren Bewegungsgleichungen abgeleitet. Durch Verwendung von Dualen Basen kann gezeigt werden, dass sich die bezüglich der Berechnungszeit effizienten Algorithmen sowohl auf Systeme mit explizit als auch implizit formulierten Bindungsgleichungen anwenden lassen. Mit diesen gewonnen Erkenntnissen wird die derzeitige Implementierung der vorgestellten Algorithmen im Sprachstandard Modelica untersucht. Es werden Ansatzmöglichkeiten aufgezeigt, mit denen ausgewählte Modelica Compiler große Mehrkörpersysteme effizienter lösen können. Zum einen wird durch eine graphentheoretische Verallgemeinerung des O(n)-Algorithmus dieser direkt in dem freien Modelica Werkzeug OpenModelica umgesetzt. Zum anderen wird die Methode der Subsysteme für den O(n)-Algorithmus vorgestellt. Sie ermöglicht es, beliebig komplexe Teilsysteme als eigenständige Modellelemente zu erstellen. Die Berechnung von kinematischen Schleifen kann auf diese Weise wesentlich beschleunigt werden. Ferner wird gezeigt, dass sich mit der Methode der Subsysteme Modellgleichungen eines idealen homokinetischen Gelenks ableiten lassen, die frei von Zwangsbedingungen sind. Dies führt ebenfalls zu einer schnelleren und robusteren Berechnung. / Using methods from sparse matrice theory, O(n³)- and O(n)-algorithms for multibody systems are derived from the equations of motion. The concept of Dual Bases reveals that efficient algorithms for explicit joint descriptions, regarding calculation time, may also be applied to systems which use implicit joint constraints. Consequently, the feasibility of implementing these results in Modelica is examined. This leads to new approaches which enable selected Modelica compilers to solve large multibody systems more efficiently. On the one hand side a graph-theoretic generalization of the O(n)-algorithm has been implemented into the OpenModelica compiler. On the other hand, a method of subsystems for the O(n)-algorithm has been devised. It allows to derive the model equations for arbitrary complex sub-systems which can be implemented as new model elements for an O(n)-algorithm library. This has been carried out for recurring kinematic loops of Mobile Machinery improving simulation speed considerably. Furthermore, it is shown that a fast and robust model of an ideal constant velocity joint can be derived that way.

Rheumatoid Arthritis (RA) is a disease in which the body has "turned on itself", with its immune system attacking mobility. In RA, an immune mechanism attacks and destroys the joints and limits mobility, in some circumstances to the point of needing replacement of joints. The aim of this research is the development of a less costly, widely accessible, passive sensing technology that provides a quantitative assessment of RA and that monitors the therapeutic effectiveness on joint-debilitating diseases. The proposed solution relies on a quantitative evaluation of human gestures. Such a quantitative assessment supports the comparison between the motion capabilities of a patient and that of a healthy person, using a kinematic model of the human skeleton. Criteria for the classification of severity were established, and tables were generated to classify the levels of severity as a function of the measurements extracted from processed videos of a subject performing predefined movements. This research project, while contributing a new tool to the process of classification of RA level of severity, opens the way for using widely accessible digital imaging for diagnosing and monitoring the evolution of the illness. Replacing MRI or HRUS with a cheaper and more accessible technology would have a major impact on health care services. From the clinical point of view, the proposed techniques based on digital images processing combined with a monitoring approach based on infrared images that was previously developed may provide a utility of care for patients with RA, as well as an alternative and automated approach for early detection of RA and active inflammation at a critical time.

The objective of this thesis is to analyze the kinematics of a mobile parallel robot with contribution that pertain to the singularity analysis, the optimization of geometric parameters and the optimal control to avoid singularities when navigating across singular geometric configurations. The analysis of the workspace and singularities is performed in a prescribed reference workspace regions using discretization method. Serial and parallel singularities are analytically analyzed and all possible singular configurations are presented. Kinematic conditioning index is used to determine the robot’s proximity to a singular configuration. A method for the determination of a continuous and singularity-free workspace is detailed. The geometric parameters of the system are optimized in various types of pipe-like structures with respect to a suitable singularity index, in order to avoid singularities during the navigation across elbows. The optimization problem is formulated with an objective to maximize the reachable workspace and minimize the singularities. The objective function is also subjected to constraints such as collision avoidance, singularity avoidance, workspace continuity and contact constraints imposed between the boundaries and the wheels of the robot. A parametric variation method is used as a technique to optimize the design parameters. The optimal design parameters found are normalized with respect to the width of the pipe-like structures and therefore the results are generalized to be used in the development phase of the robot. An optimal control to generate singularity-free trajectories when the robotic device has to cross a geometric singularity in a sharp 90◦ elbow is proposed. Such geometric singularity inherently leads to singularities in the Jacobian of the system, and therefore a modified device with augmented number of degrees of freedom is introduced to be able to generate non-singular trajectories.

Cette thèse est consacrée à l'étude de la manipulation et de la coordination robotique à deux bras ayant pour objectif le développement d'une approche unifiée dont différentes tâches seront décrites dans le même formalisme. Afin de fournir un cadre théorique compact et rigoureux, les techniques présentées utilisent les quaternions duaux afin de représenter les différents aspects de la modélisation cinématique ainsi que de la commande.Une nouvelle représentation de la manipulation à deux bras est proposée - l'espace dual des tâches de coopération - laquelle exploite l'algèbre des quaternions duaux afin d'unifier les précédentes approches présentées dans la littérature. La méthode est étendue pour prendre en compte l'ensemble des chaînes cinématiques couplées incluant la simulation d'un manipulateur mobile.Une application originale de l'espace dual des tâches de coopération est développée afin de représenter de manière intuitive les tâches principales impliquées dans une collaboration homme-robot. Plusieurs expérimentations sont réalisées pour valider les techniques proposées. De plus, cette thèse propose une nouvelle classe de tâches d'interaction homme-robot dans laquelle le robot contrôle tout les aspects de la coordination. Ainsi, au-delà du contrôle de son propre bras, le robot contrôle le bras de l'humain par le biais de la stimulation électrique fonctionnelle (FES) dans le cadre d'applications d'interaction robot / personne handicapée.Grâce à cette approche générique développée tout au long de cette thèse, les outils théoriques qui en résultent sont compacts et capables de décrire et de contrôler un large éventail de tâches de manipulations robotiques complexes. / This thesis is devoted to the study of robotic two-arm coordination/manipulation from a unified perspective, and conceptually different bimanual tasks are thus described within the same formalism. In order to provide a consistent and compact theory, the techniques presented herein use dual quaternions to represent every single aspect of robot kinematic modeling and control.A novel representation for two-arm manipulation is proposed—the cooperative dual task-space—which exploits the dual quaternion algebra to unify the various approaches found in the literature. The method is further extended to take into account any serially coupled kinematic chain, and a case study is performed using a simulated mobile manipulator. An original application of the cooperative dual task-space is proposed to intuitively represent general human-robot collaboration (HRC) tasks, and several experiments were performed to validate the proposed techniques. Furthermore, the thesis proposes a novel class of HRC taskswherein the robot controls all the coordination aspects; that is, in addition to controlling its own arm, the robot controls the human arm by means of functional electrical stimulation (FES).Thanks to the holistic approach developed throughout the thesis, the resultant theory is compact, uses a small set of mathematical tools, and is capable of describing and controlling a broad range of robot manipulation tasks.

The automation of the tramming or load, haul and dump (LHD) procedure, performed by a LHD vehicle, holds the potential to improve productivity, efficiency and safety in the mining environment. Productivity is mainly increased by longer working hours; efficiency is improved by repetitive, faultless and predictable work; and safety is improved by removing the human operator from the harsh environment. However, before the automation of the process can be addressed, a thorough understanding of the process and its duty in the overall mining method is required. Therefore, the current applicable mining methods and their areas of potential automation are given. Since the automation of the LHD vehicle is at the core of this project, its implementation in the tramming process is also justified. Also, the current underground navigation methods are given and their shortcomings are named. It is concluded that infrastructure-free navigation is the only viable solution in the ever-changing mining environment. With that in mind, the feasibility of various navigation sensors is discussed and conclusions are drawn. Both kinematic and dynamic modelling of LHD vehicles are introduced. Various forms of kinematic models are given and their underlying modelling assumptions are named. The most prominent assumptions concern the vehicle’s half-length and the inclusion of a wheel-slip factor. Dynamic modelling techniques, with a strong emphasis on tyre modelling, are also stated. In order to evaluate the modelling techniques, field tests are performed on the articulated vehicles, namely the Wright 365 LHD and the Bell 1706C loader. The test on the Wright 365 LHD gives a good impression of the harsh ergonomics under which the operator has to work. A more thorough test is performed on the Bell 1706C articulated loader. The test results are then compared to simulation results obtained from the kinematic models. Also, the above-named assumptions are tested, evaluated and discussed. A dynamic model is also simulated and discussed. Lastly, two localization and control methods are given and evaluated. The first method is an open-loop nonlinear optimal control strategy with periodic position resetting and the second method is a pathtracking controller. AFRIKAANS : Automatisering van die laai-, vervoer- en dompel- (LVD) prosedure het die potensiaal om die produktiwiteit, effektiwiteit en veiligheid van die mynbedryf te verbeter. Produktiwiteit word hoofsaaklik deur langer werksure verhoog, effektiwiteit word deur herhalende, foutlose en voorspelbare werk verbeter en veiligheid word verbeter omdat menslike operateurs uit die gevaarlike ondergrondse omgewing verwyder word. Voordat aandag aan die automatisering van die prosedure geskenk kan word, moet die prosedure en die algemene mynbedrywighede rakende die prosedure deeglik bestudeer en verstaan word. As gevolg hiervan word die huidige, toepaslike mynboumetodes hier gedokumenteer. Die implementering van ʼn gekoppelde LVD-voertuig in die LVD-prosesword ook geregverdig. Verder word die huidige metodes van ondergrondse navigasie genoem en hulle tekortkominge aangedui. Die gevolgtrekking dat infrastruktuur-vrye navigasie die enigste lewensvatbare navigasiemetode in die immer veranderende ondergrondsemynbouomgewing is, word ook gemaak. In die lig daarvan word ʼn verskeidenheid sensors genoem en bespreek. Kinematiese en dinamiese modellering van ʼn LVD-voertuig word bekendgestel. Verskeie kinematiese modelle en hulle onderliggende aannames word genoem. Die mees prominente aannames is die lengte van die gekoppelde voertuig se hoofdele en die insluiting van ʼn wielglipfaktor. Die tegnieke van dinamiese modellering, met die klem op bandmodellering, word ook gegee. Praktyktoetse op gekoppelde voertuie is ook gedoen om die verskillende modelle te evalueer. Die toets op die Wright 365-LVD bied goeie insig in die strawwe ergonomiese toestande waaronder die operateurs moet werk. ʼn Deeglike toets is op ʼn BELL 1706C- gekoppelde laaier, wat kinematies identies aan ʼn LVD-voertuig is, uitgevoer. Die bevindinge van die toets word met bogenoemde modelsimulasies vergelyk en gevolgtrekkings word gemaak. Laastens word lokalisiering en beheer van ʼn LVDvoertuig behandel. Twee beheermetodes, opelus- nie-lineêre optimale beheer met periodieke herstel en padvolgingbeheer word geëvalueer en bespreek. Copyright / Dissertation (MEng)--University of Pretoria, 2012. / Electrical, Electronic and Computer Engineering / unrestricted

This diploma thesis is focused on solve of design solutions for piston for turbocharged version of Honda K20A engine, especially on reduce of side force acting on piston. There are mentioned methods and on their basis also design solutions for piston to reduce this force. There is also included kinematic and dynamic analysis for each solution and as well their FEM analysis for testing the suitability of these solutions.

The goal of this work is to create an application, which will combine procedural and keyfram animations with subsequent visualization. Composition of this two different animations techniques is used to animate a virtual character. To combine this two techniques one starts with interpolations from keyframe animation and then enchance them by procedural animations to properly fit into the characters surroundings. This procedural part of animation is obtained by using forward and inverse kinematics. Whole application is written in C++, uses GLM math library for computations and OpenGL and GLUT for final visualization.

This work presents a system for semi-autonomous optical localization of distant moving targets using multiple positionable cameras. The cameras were calibrated and stationed using custom designed calibration targets and methodology with the objective to alleviate the main sources of errors which were pinpointed in thorough precision analysis. The detection of the target is performed manually, while the visual tracking is automatic and it utilizes two state-of-the-art approaches. The estimation of the target location in 3-space is based on multi-view triangulation working with noisy measurements. A basic setup consisting of two camera units was tested against static targets and a moving terrestrial target, and the precision of the location estimation was compared to the theoretical model. The modularity and portability of the system allows fast deployment in a wide range of scenarios including perimeter monitoring or early threat detection in defense systems, as well as air traffic control in public space.