En realistisk simulation kräver att alla simulerade objekten ska interaktivt och dynamiskt animeras. Delar av objektens kropp ska deformeras och andra delar ska sönderfalla vid en krock med ett annat objekt. De flesta 3d applikationer har som gemensamt vissa tekniker som används vid dynamiska simulationer. Tyvärr så finns det inte en smidig och snabb teknik för att deformera solida objekt vid kollisioner, detta gäller även Maya som jag använde i detta arbete. Detta arbete ska visa en smidig teknik att deformera vissa delar av en komplicerad modell och få andra delar att splittras och spridas i en dynamisk simulation som är både fysiskt rätt och ser visuellt bra ut. Resultatet är en kort animationsfilm som visar teknikerna i praktiken. Enskilda användare av 3Dapplikationer exempelvis studenter kommer ha nytta av arbetets olika delmoment och kan hänvisa till informationen.

We investigate classically (iso)spinning topological soliton solutions in (2+1)- and (3+1)-dimensional models; more explicitly isospinning lump solutions in (2+1) dimensions, Skyrme solitons in (2+1) and (3+1) dimensions and Hopf soliton solutions in (3 +1) dimensions. For example, such soliton types can be used to describe quasiparticle excitations in ferromagnetic quantum Hall systems, can model spin and isospin states of nuclei and may be candidates to model glueball configurations in QCD.Unlike previous work, we do not impose any spatial symmetries on the isospinning soliton configurations and we explicitly allow the isospinning solitons to deform and break the symmetries of the static configurations. It turns out that soliton deformations clearly cannot be ignored. Depending on the topological model under investigation they can give rise to new types of instabilities, can result in new solution types which are unstable for vanishing isospin, can rearrange the spectrum of minimal energy solutions and can allow for transitions between different minimal-energy solutions in a given topological sector. Evidently, our numerical results on classically isospinning, arbitrarily deforming solitons are relevant for the quantization of classical soliton solutions.

Brittle bodies differ from the rigid ones in the possibility of shattering into small pieces according to the laws of physics. The brittle body simulation therefore uses principles of a general rigid body simulation and requires solutions to the other problems related to object decomposition into fragments and involving these fragments of the original object in the simulation. Description and evaluation of the possible solutions to this problem and a proposal with a reference implementation of such simulation are the goals of this thesis.

At Saab Aerostructures they are manufacturing a lot of parts for Airbus and Boeing. When these components are investigated using finite element analysis four-node Kirchhoff shell elements and a very fine mesh is often used. In order to make the pre-processing easier Saab would like to offset the shell mid surface from the nodal plane (the modeling surface) rather than to extract mid surfaces for the entire component. This would also make it easier to model a component which needs a thickness change later on, this since the original modeling surface could be used but with an offset of the elements in order to represent the new geometry. When offset is used in Nastran multi point constraints are created between the nodes and the shell mid surface points. All loads, which are applied in the nodal plane, are then transformed to the mid surface where the stiffness matrices, displacements and stresses are calculated. In order to be able to use this method more knowledge about its effects are needed, which is the reason for this thesis work. The offset is studied for two simpler cases, thickness variation and a 90°corner, as well as fora more complicated component called a C-bar. This is a hinge connecting the flaps to the wings of an airplane. The simpler cases are modeled using both mid surface and offset models subject to either a transverse load, an in-plane load or a bending moment. These are compared to a solid model in order to determine which is the most accurate. When mid surface modeling is used fort he thickness variation the surfaces are connected using rigid links. The conclusion made from these simulations is that using offset may give different results if the load is an in-plane load. This kind of load leads to the creation of a bending moment, which is linearly dependent on the amount of offset. The severity of this depends on the overall geometry and how this load is applied.

Gegenstand dieser Arbeit ist die Simulation einer Wirkpaarung am Beispiel des innermaschinellen Transports von Stückgütern. Zur Schonung des Verarbeitungsgutes wird für das intermittierende Fördern ein neuartiger Bewegungsansatz betrachtet. Da sich der mit diesem Ansatz durchgeführte Prozess sehr sensitiv gegenüber den Eingangsparametern verhält, ist es notwendig, diesen zu simulieren, um somit eine stabile und robuste Bewegung zu synthetisieren. Als grundlegender Modellansatz wird die Diskrete Elemente Methode (DEM) gewählt, da diese es ermöglicht, den Kontakt von Starrkörpern realistisch abzubilden. Zur Umsetzung der Simulation wird die Modellbildung mit zwei unterschiedlichen Modellierungsumgebungen realisiert, die sich hinsichtlich der Umsetzung der DEM unterscheiden: Zum Einen mit Hilfe der kommerziellen Software MATLAB/Simulink und zum Anderen mit Hilfe der Open-Source-Software Woo DEM. Im Anschluss werden die damit erzeugten Modelle verifiziert und experimentell validiert, wodurch sich sowohl die Modellgüte als auch die Modelleignung ableitet. Dabei wird besonders auf die prozessentscheidende Rolle der Reibung eingegangen. Abschließend wird mit Hilfe des Vorzugsmodells an Hand zweier Beispiele die Modellanalyse vollzogen. Hierbei wird der neuartige Bewegungsansatz synthetisiert und simulativ hinsichtlich des Prozesserfolges überprüft. Dabei wird insbesondere auf die mit Hilfe des Modells quanitifizierbaren Prozessgrößen eingegangen. / The subject of this thesis deals with the simulation of an active unit demonstrated by the mechanical transport of pieced goods. To protect the processing goods, a novel motion approach for the intermittent transport is researched. Since the process performed with this approach is very sensitive to its input parameters, it is necessary to simulate it, with the aim to synthesize a stable and robust motion. The Discrete Element Method (DEM) is chosen as the basic model approach, because it allows the realistic representation of rigid body contacts. To implement the simulation the modelling is realised with two different modelling environments, which differ in the implementation of the DEM: Firstly, using the commercial software MATLAB/Simulink and secondly with the help of the open-source-software Woo DEM. Following that the generated models are verified and experimentally validated, whereby both the model goodness and the model suitability are derived. Special attention is dedicated to the role of the process relevant friction. Eventually, the model analysis is carried out with the help of two examples using the preferred model. Here, the novel motion approach is synthesized and verified by simulation in terms of process success. In particular it will address process variables, which are quantifiable because of the model.

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This work discusses the dynamic predictions of compliant mechanisms using the Pseudo-Rigid-Body model (PRBM). In order to improve the number of mechanisms that can be modeled, this research develops and identifies several key concepts in the behavior of beam segments where both ends are fixed to a rigid body (fixed-fixed flexible segments). A model is presented, and several examples are discussed. The dynamic behavior of several compliant segments is predicted using the PRBM and the results are compared to finite element analysis and experimental results. Details are presented as to the transient behavior of a typical uniform rectangular cross section beam. The results of this study are extended and applied to compliant planar mechanisms. It is shown by comparison with finite element analysis and experimental results that the PRBM is a good model of the physical system's dynamic behavior. The method is also demonstrated for use with compliant microelectromechanical (MEMS) systems.

Developmental Dysplasia of the Hip (DDH) is an abnormal condition where hip joint dislocation, misalignment, or instability is present in infants. Rates of incidence of DDH in newborn infants have been reported to vary between 1 and 20 per 1000 births, making it the most common congenital malformation of the musculoskeletal system. DDH early detection and treatment is critical to avoid the use of surgical treatment in infants and to prevent future complications such as osteoarthritis in adult life. To this day several non-surgical treatments involving the use of harnesses and braces have been proposed to treat DDH in infants, with the Pavlik harness being the current non-surgical standard used to treat DDH at early stages. Although the Pavlik harness has been proven to be successful treating subtle dislocations, severe dislocations do not always reduce. Until now the use of the harness remains an empirical method, and its effectiveness often depends on physician expertise or trial-error procedures; thus a clear guideline has not been established to determine the best optimal harness configuration to treat both subtle and severe dislocations. The goal of this dissertation is to understand the connection between reductions for subtle and severe dislocations and passive muscle forces and moments generated while the harness is used during treatment. While the understanding of DDH biomechanics will provide a valuable clinically applicable approach to optimize and increase harness success rate, it is not without its difficulties. This research has created and developed a three-dimensional based on patient-specific geometry of an infant lower limb. The kinematics and dynamics of the lower limb were defined by modeling the hip, femur, tibia, fibula, ankle, foot, and toe bones. The lines of action of five (5) adductor muscles, namely, the Adductor Brevis, Adductor Longus, Adductor Magnus, Pectineus, and Gracilis were identified as mediators of reduction and its mechanical behavior was characterized using a passive response. Four grades (1-4) of dislocation as specified by the International Hip Dysplasia Institute (IHDI) were considered, and the computer model was computationally manipulated to represent physiological dislocations. To account for proper harness modeling, the femur was restrained to move in an envelope consistent with its constraints. The model of the infant lower limb has been used to analyze subtle and severe dislocations. Results are consistent with previous studies based on a simplified anatomically-consistent synthetic model and clinical reports of very low success of the Pavlik harness for severe dislocations. Furthermore the findings on this work suggest that for severe dislocations, the use of the harness could be optimized to achieve hyperflexion of the lower limb leading to successful reduction for cases where the harness fails. This approach provides three main advantages and innovations: 1) the used of patient-specific geometry to elucidate the biomechanics of DDH; 2) the ability to computationally dislocate the model to represent dislocation severity; and 3) the quantification of external forces needed to accomplish reduction for severe dislocations. This study aims to offer a practical solution to effective treatment that draws from engineering expertise and modeling capabilities and also draws upon medical input. The findings of this work will lay the foundation for future optimization of non-surgical methods critical for the treatment of DDH.

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