Academic literature on the topic 'Axial Kinematics'

The purpose of the research was to analyze the kinematics of the piston mechanism of an axial-piston hydraulic machine with an adjustable-angle cam plate. The kinematic analysis resulted in establishing various types of relative motion of the piston in the guide bushing, writing and solving Reynolds equation with respect to velocities. A sweep method was used to construct a pressure field in the working fluid layer between the piston and the guide bushing. Pressure fields are constructed for several cases of kinematics of the piston mechanism.

An apparatus that allowed the application of a 900 N axial load and the simultaneous measurement of rotation in the sagittal, coronal, and axial planes was used to study the normal kinematics of the ankle in 13 below-knee amputation specimens. Two testing routines were done on all specimens. In the first sequence, specimens were moved through a dorsiflexion (DF) and plantarflexion (PF) arc of 60° (25° DF and 35° PF). DF was associated with an average of 2.5° of external rotation, and PF was associated with an average of <1° of internal rotation. In the coronal plane, PF and DF were both associated with <1° of varus. In the second part of the testing, the ankle position in the sagittal plane (DF/PF) was fixed and the axial load was increased from 50 N to 750 N in 100-N intervals. Increasing the axial load caused an increase in external rotation and valgus of 1° to 2°. For axial rotation, external rotation was more pronounced in PF than DF. The effect of load on the increase on valgus was not affected by sagittal ankle position. The effect of increasing axial load on sagittal rotation was to increase DF or PF <2° over the entire range of loads and sagittal positions. The understanding of ankle biomechanics is essential to the formulation of rational guidelines for the treatment of ankle pathology and the prediction of the long-term consequences of ankle injuries. The incomplete understanding of this subject is evident when the disparate recommendations for a number of common conditions are considered. By examining the three-dimensional motion of the stable ankle, a more precise understanding of the abnormal three-dimensional motions associated with instability can be achieved. This knowledge will permit a logical approach to treatment of ankle fractures.

Many workers interested in the mechanics and kinematics of undulatory aquatic locomotion have examined swimming in fishes that use a carangiform or subcarangiform mode. Few empirical data exist describing and quantifying the movements of elongate animals using an anguilliform mode of swimming. Using high-speed video, I examine the axial undulatory kinematics of an elongate salamander, Siren intermedia, in order to provide data on how patterns of movement during swimming vary with body position and swimming speed. In addition, swimming kinematics are compared with those of other elongate vertebrates to assess the similarity of undulatory movements within the anguilliform locomotor mode. In Siren, most kinematic patterns vary with longitudinal position. Tailbeat period and frequency, stride length, Froude efficiency and the lateral velocity and angle of attack of tail segments all vary significantly with swimming speed. Although swimming speed does not show a statistically significant effect on kinematic variables such as maximum undulatory amplitude (which increases non-linearly along the body), intervertebral flexion and path angle, examination of the data suggests that speed probably has subtle and site-specific effects on these variables which are not detected here owing to the small sample size. Maximum lateral displacement and flexion do not coincide in time within a given tailbeat cycle. Furthermore, the maximum orientation (angle with respect to the animal's direction of forward movement) and lateral velocity of tail segments also do not coincide in time. Comparison of undulatory movements among diverse anguilliform swimmers suggests substantial variation across taxa in parameters such as tailbeat amplitude and in the relationship between tailbeat frequency and swimming speed. This variation is probably due, in part, to external morphological differences in the shape of the trunk and tail among these taxa.

Kinematics parameters calculation is the basis of piston pump design and performance analysis. Taking an axial piston pump with incline piston and spherical swash plate as the research object, Aimed at the deficiency of current formula for calculating piston pump kinematics parameters which included displacement, velocity and acceleration. In this paper, according to piston pump part motion geometry relationship, a correction kinematics algorithm is deduced by using the the spherical coordinate and cartesian coordinate transformation method, the analyse method and deduction procedure ensure the new calculating formula are precise in theory. Applying the calculating formula to an aero engine fuel axial piston pump, results show that. The displacement, velocity, acceleration according to the kinematics principle of piston pump, it can be used in the kind of piston pump kinematics parameters calculation and current calculating method evaluation.

A new method is presented for measuring joint kinematics by optimally matching modeled trajectories of geometric surface models of bones with cine phase contrast (cine-PC) magnetic resonance imaging data. The incorporation of the geometric bone models (GBMs) allows computation of kinematics based on coordinate systems placed relative to full 3-D anatomy, as well as quantification of changes in articular contact locations and relative velocities during dynamic motion. These capabilities are additional to those of cine-PC based techniques that have been used previously to measure joint kinematics during activity. Cine-PC magnitude and velocity data are collected on a fixed image plane prescribed through a repetitively moved skeletal joint. The intersection of each GBM with a simulated image plane is calculated as the model moves along a computed trajectory, and cine-PC velocity data are sampled from the regions of the velocity images within the area of this intersection. From the sampled velocity data, the instantaneous linear and angular velocities of a coordinate system fixed to the GBM are estimated, and integration of the linear and angular velocities is used to predict updated trajectories. A moving validation phantom that produces motions and velocity data similar to those observed in an experiment on human knee kinematics was designed. This phantom was used to assess cine-PC rigid body tracking performance by comparing the kinematics of the phantom measured by this method to similar measurements made using a magnetic tracking system. Average differences between the two methods were measured as 2.82 mm rms for anterior∕posterior tibial position, and 2.63 deg rms for axial rotation. An inter-trial repeatability study of human knee kinematics using the new method produced rms differences in anterior∕posterior tibial position and axial rotation of 1.44 mm and 2.35 deg. The performance of the method is concluded to be sufficient for the effective study of kinematic changes caused to knees by soft tissue injuries.

This study was undertaken to elucidate the kinematics of hindfoot instability. An axial load was applied to the inverted hindfoot. Unlike prior studies, axial rotation was not constrained. Using computerized tomography, measurements were made on the axial views of external or internal rotation of the leg, talus, and calcaneus. On the coronal views, tilting of the talus at the ankle and subtalar joints was assessed. No tilting of the talus in the mortise occurred with isolated release of the anterior talofibular (ATF) or calcaneofibular (CF) ligament. In every specimen, talar tilt occurred only after both ligaments were released, averaging 20.6°. External rotation of the leg occurred with inversion averaging 11.1° in the intact specimen. The leg averaged a further external rotation of 4.9° after ATF release and 12.8° further than the intact inverted specimens when both ligaments (ATF-CF) had been released. In earlier reports on the subject, the articular surfaces were believed to be the main constraint against tilting of the talus. In those studies, either axial rotation was constrained while inversion was allowed, or vice versa. Based on the data reported here, the ATF and the CF work in tandem to prevent tilting of the talus, and the articular surfaces do not seem to prevent tilting of the talus in the mortise.

Camera-based 3D motion analysis systems are considered to be the gold standard for movement analysis. However, using such equipment in a clinical setting is prohibitive due to the expense and time-consuming nature of data collection and analysis. Therefore, Inertial Measurement Units (IMUs) have been suggested as an alternative to measure movement in clinical settings. One area which is both important and challenging is the assessment of turning kinematics in individuals with movement disorders. This study aimed to validate the use of IMUs in the measurement of turning kinematics in healthy adults compared to a camera-based 3D motion analysis system. Data were collected from twelve participants using a Vicon motion analysis system which were compared with data from four IMUs placed on the forehead, middle thorax, and feet in order to determine accuracy and reliability. The results demonstrated that the IMU sensors produced reliable kinematic measures and showed excellent reliability (ICCs 0.80–0.98) and no significant differences were seen in paired t-tests in all parameters when comparing the two systems. This suggests that the IMU sensors provide a viable alternative to camera-based motion capture that could be used in isolation to gather data from individuals with movement disorders in clinical settings and real-life situations.

Die vorliegende Arbeit widmet sich der Aufgabe makroskopische Berechnungsmodelle zur Beschreibung des Drahtsägens zu erarbeiten. Ziel ist es, die wesentlichen Effekte abzubilden und den Einfluss von Prozessparametern auf die Dynamik des Systems zu bestimmen. Ein zentraler Punkt ist die Modellierung des bewegten Sägedrahtes. Durch die dem Kontinuum an den Auflagern aufgeprägte Führungsbewegung sind einerseits die Randbedingungen und andererseits ortsfest auf den Draht wirkende Lasten nichtmateriell. Die korrekte kinematische Beschreibung dieses Sachverhaltes ist essentielle Grundlage für die spätere Anwendung des Prinzips von HAMILTON. Durch die Führungsbewegung, die Formulierung der Kontaktkräfte als Folgelasten und durch explizit zeitabhängige Systemparameter ergibt sich ein kompliziertes Systemverhalten. Die dargestellten Berechnungsergebnisse umfassen Studien zu stationären Lagen, die Berechnung von Eigenfrequenzen, Stabilitätsnachweise des dynamischen Grundzustandes, die Bestimmung von Zeitlösungen und die Simulation des Materialabtrages beim Einschnitt
The aim of the present thesis is to generate macroscopic models to describe the wire sawing process. The principal purpose is to illustrate basic effects and to investigate the influence of important process parameters relating to the dynamics of the system. A fundamental point is the modeling of the moving wire. Because of the axially movement of the continuum the boundary conditions and spatial acting loads are non-material. The precise kinematical description of this issue is the pre-condition for the correct evaluation of HAMILTON’s principle to characterize the dynamics of the system. The resultant complex system behavior is a consequence of the movement of the wire, of the formulation of the contact forces as follower loads and of explicitly time-dependent model parameters. The results of research contain studies of steady state equilibrium solutions and the proof of their LJAPUNOW stability, the calculation of eigenfrequencies, steady state time solutions under harmonically oscillating contact forces and the simulation of the material removal during the cutting process

La capacité opérationnelle axiale en service de pieux battus reste une zone d'incertitude, en particulier pour les structures offshore. La recherche sur le terrain a montré que le frottement latéral peut augmenter au cours des mois ou des années après le battage. Si des tendances similaires se retrouvent dans des ouvrages offshore, les avantages en terme d'ingénierie de réalisation peuvent être très importants. D'autre part, les fondations sur pieux de plates-formes de gaz, de pétrole sont soumises à des chargements cycliques à long terme qui peuvent influencer leur capacité à l'arrachement. Les pieux battus en eau profonde connaissent un grand nombre de cycles complets de charge-décharge pouvant contribuer à la dégradation du frottement latéral lors de l'installation. Cette thèse vise à mieux comprendre les principaux résultats obtenus avec des pieux réels en sable siliceux, par le biais d'une recherche à échelle de laboratoire sous conditions environnementales contrôlées. Ce travail fait partie d'un programme de recherche commun entre le Laboratoire 3SR de Grenoble, l'Imperial College London, et le projet français de recherche ANR- SOLCYP. La réponse de l'interface sol-pieu lors de l'installation ainsi que les périodes de vieillissement et de chargements cycliques axiaux ont été étudiés au laboratoire en utilisant des pieux-modèles installés dans la chambre d'étalonnage de Grenoble. Plusieurs essais avec le pieu modèle Mini-ICP (instrumenté avec des capteurs de tension totale à la surface du pieu (SST) pour les mesures de contraintes radiales de cisaillement à 3 sections) ont permis l'analyse de chemin de contrainte locale à l'interface du pieu. Des capteurs miniatures ont en outre été installés dans le massif de sable pour une mesure de contrainte lors de l'installation du pieu et son chargement ultérieur. Les effets des méthodes d'installation, de la taille des particules de sable, ou de la saturation du sable et du chargement de l'environnement, ont été pris en compte pour le vieillissement de la capacité. Les évolutions locales de l'interface radiale et du cisaillement sont en accord avec les prédictions des méthodes de conception modernes basées sur le CPT. Des preuves d'effets d'échelle soulignent l'importance des conditions aux limites appliquées à la modélisation physique. Des séries d'essais non-alternés purement en traction, ainsi que des essais alternés ont été réalisés sous contrôle en charge ou en déplacement. Les mesures locales effectuées dans les chemins de contraintes effectives montrent une contraction radiale de la masse de sable au voisinage du pieu. Les incréments de l'amplitude de charge et du déplacement imposé accélèrent les taux de dégradation cyclique. Un nouveau diagramme de stabilité cyclique a été réalisé, en résumant les essais de chargement cycliques axiaux pour les pieux foncés et battus dans du sable siliceux moyennement dense. Des mécanismes complexes comme la rupture des grains et des changements de densité locale à l'interface du pieu peuvent affecter la réponse des pieux. La cinématique derrière leur installation et l'interaction avec le sol environnant reste encore très limitée. Comprendre comment un matériau granulaire interagit avec le pieu est important pour étudier la réponse globale du pieu. Les observations globales du comportement des pieux dans la chambre d'étalonnage ont été modélisées à une échelle micro en utilisant la tomographie aux rayons X du Laboratoire 3SR à Grenoble. Le programme expérimental comprenait des essais sur une chambre d'étalonnage modèle afin d'analyser le champ de déplacement lors de l'installation d'un pieu modèle, à l'aide des techniques de corrélation d'images (DIC) en trois dimensions. Des analyses micromécaniques d'échantillons «intacts» récupérés post mortem à l'interface du pieu ont été également effectuées pour mettre en évidence de possibles changements radiaux de densité ainsi que la rupture des grains
The operational in-service axial capacity of driven piles remains an area of uncertainty, especially for offshore structures. Field research has demonstrated that axial shaft capacities may increase over the months or years after driving. If similar trends apply offshore, the realisable engineering benefits are very significant. On the other hand, the piled foundations of oil/gas platforms and wind/water turbines are subject to long term environmental and in service cyclic loading due for example to waves, vibrations and storms that may also affect their shaft capacity. Deep driven piles experience large numbers of full load-unload cycles that contribute to shaft capacity degradation during installation. This thesis aims to improve understanding of the main results obtained with full-scale piles in silica sand through a laboratory scale investigation performed under controlled environmental conditions. This work was part of a joint research programme between the Grenoble Laboratory 3SR and Imperial College London, and the French National SOLCYP research project. The response of the soil-pile interface during installation, ageing periods and cyclic loading tests have been studied using laboratory model piles installed in the large Grenoble Calibration Chamber. Several tests with the Mini-ICP pile allow the analyses of local stress path at the pile's interface. This model pile is instrumented with surface stress transducers (SST) for local measurements of total and radial shear stresses at 3 different sections along the pile's shaft. In addition, miniature soil stress transducers were installed into the sand mass for total stress measurements during pile installation and loading. Possible ageing effects as installation methods, sand particle size, sand saturation and environmental loading were studied. Local evolution of interface radial and shear stresses agree with predictions from modern CPT based design methods. Evidence of possible scale effects remark the importance of the boundary conditions applied in physical modelling. Series of one-way purely tensile and two-way axial cyclic loading tests were performed under load and displacement control. Local measurements made of the effective stress paths shows radial contraction of the sand mass in the vicinity of the pile. Increments in loading amplitude and imposed displacements accelerate cyclic degradation rates. A new interactive shaft stability chart was produced as a summary of axial cyclic loading tests for both jacked and driven piles in medium dense silica sand. Laboratory tests confirm findings from field tests where one-way low amplitude cycles lead to beneficial increases in tensile pile capacity of up to 20%. Complex mechanisms as grain breakage and local density changes at the pile's interface. The kinematics behind the installation of piles and its interaction with the surrounding soil is still limited. Understanding how granular material interacts with the pile may reveal important to understand the global pile response. The global observations of the pile behaviour from calibration chamber tests were modelled at a micro scale using Micro Computed Tomography at the Grenoble Laboratory 3SR. The experimental campaign included tests on a model calibration chamber devoted to the displacement field analyses during the installation of a model piles using three dimensional (3D) digital image correlation (DIC). Micromechanical analysis of « intact » post-mortem samples recovered at the pille's interface were also conducted for evidences of radial density gradient and grain breakage

Der Vortrag beschreibt die Grundlagen der Elasto-Plastizität sowie die softwaretechnische Anwendung mit dem FEM-Programm Creo Simulate bzw. Pro/MECHANICA von PTC. Der erste Teil des Vortrages beschreibt die Charakteristika plastischen Verhaltens, unterschiedliche plastische Materialgesetze, Fließkriterien bei mehrachsiger Beanspruchung und unterschiedliche Verfestigungsmodelle. Im zweiten Vortragsteil werden Möglichkeiten und Grenzen der Berechnung elasto-plastischer Probleme mit der Software dargestellt sowie Anwendungstipps gegeben. Im dritten Vortragsteil schließlich werden verschiedene Beispiele vorgestellt, davon besonders ausführlich das Verhalten einer einachsigen elasto-plastischen Zugprobe vor und nach dem Eintreten der Einschnürdehnung
This presentation describes the basics of elasto-plasticity and its application with the finite element software Creo Simulate (formerly Pro/MECHANICA) from PTC. The first part describes the characteristics of plastic behavior, different plastic material laws, yield criteria for multiaxial stress states and different hardening models. In the second part, the opportunities and limitations of analyzing elasto-plastic problems with the FEM-code are described and user information is provided. The last part finally presents different examples. Deeply treated is the behavior of a uniaxial tensile test specimen before and after elongation with necking appears

abstract: As the junction between the head and the trunk, the neck functions in providing head stability during behaviors like feeding to facilitating head mobility during behavior like grooming and predator vigilance. Despite its importance to these vital behaviors, its form and function remain poorly understood. Fossil hominin cervical vertebrae preserve a striking diversity in form despite the commitment to orthograde bipedality. Do these differences in cervical vertebral form correspond to functional variations among our recent ancestors? This dissertation attempts to understand 1) how does the neck function in head stability and mobility 2) how do these functions relate to cervical vertebral form. Kinematic and passive range of motion studies were conducted in several species of primate to obtain measures of function which were subsequently related to skeletal form. Results show that cervical vertebral morphology does not significantly covary with differences in joint mobility. Rather, they implicate the critical role of ligaments and muscles in facilitating head mobility. Results of the kinematics study show that the neck plays a role in maintaining head stability during locomotion. However, the kinematic data do not significantly correlate with morphological variation among primate species. Given the negative results of the extant morphological analyses, it is difficult to apply them to the fossil record. As such, the functional significance of the disparate morphologies found in the hominin fossil record remain ambiguous.
Dissertation/Thesis
Doctoral Dissertation Anthropology 2019

Die vorliegende Arbeit widmet sich der Aufgabe makroskopische Berechnungsmodelle zur Beschreibung des Drahtsägens zu erarbeiten. Ziel ist es, die wesentlichen Effekte abzubilden und den Einfluss von Prozessparametern auf die Dynamik des Systems zu bestimmen. Ein zentraler Punkt ist die Modellierung des bewegten Sägedrahtes. Durch die dem Kontinuum an den Auflagern aufgeprägte Führungsbewegung sind einerseits die Randbedingungen und andererseits ortsfest auf den Draht wirkende Lasten nichtmateriell. Die korrekte kinematische Beschreibung dieses Sachverhaltes ist essentielle Grundlage für die spätere Anwendung des Prinzips von HAMILTON. Durch die Führungsbewegung, die Formulierung der Kontaktkräfte als Folgelasten und durch explizit zeitabhängige Systemparameter ergibt sich ein kompliziertes Systemverhalten. Die dargestellten Berechnungsergebnisse umfassen Studien zu stationären Lagen, die Berechnung von Eigenfrequenzen, Stabilitätsnachweise des dynamischen Grundzustandes, die Bestimmung von Zeitlösungen und die Simulation des Materialabtrages beim Einschnitt.:1 Einleitung 1.1 Technische Problemstellung und Motivation der Arbeit 1.2 Literaturübersicht 1.3 Thema und Gliederung der Arbeit 2 Theoretische Grundlagen 2.1 Notation und mathematische Grundlagen 2.2 Kinematische Grundlagen der Kontinuumsmechanik 2.2.1 Konfiguration und Betrachtungsweisen 2.2.2 Verformungskinematik 2.2.3 Zeitableitungen 2.3 Variationsrechnung 2.3.1 Grundlagen 2.3.2 Verallgemeinerte Variationen 2.4 Kinetik / Prinzip von HAMILTON 2.5 Diskretisierung von Feldproblemen 2.6 Stabilität stationärer Lösungen 2.6.1 Grundlagen der kinetischen Stabilitätstheorie 2.6.2 Erste Methode von LJAPUNOW 2.6.3 Stabilitätsbetrachtung für bewegte Kontinua 2.7 Zeitlösung 2.7.1 Homogene Lösung der Störungsdifferentialgleichungen 2.7.2 Partikuläre Lösung der Störungsdifferentialgleichungen 3 Mechanisches Modell und Modellvarianten 3.1 Kinematik des Drahtes in LAGRANGE-Koordinaten 3.2 Kinematik des Drahtes in EULER-Koordinaten 3.3 Modell I 3.3.1 Variationsformulierung und Feldgleichungen 3.3.2 Ortsdiskretisierung der Variationsformulierung 3.3.3 Stationäre Lage, Stabilitätsuntersuchung und Zeitlösung 3.4 Modell II 3.4.1 Variationsformulierung und Feldgleichungen 3.4.2 Ortsdiskretisierung der Variationsformulierung 3.4.3 Stationäre Lage, Stabilitätsuntersuchung und Zeitlösung 3.5 Numerische Umsetzung 3.6 Berechnungsergebnisse 3.6.1 Stationäre Lagen 3.6.2 Eigenfrequenzen 3.6.3 Stabilitätsuntersuchungen 3.6.4 Zeitlösungen 4 Ankopplung des Ingot und Modellierung des Materialabtrages 4.1 FE- Modell des Gesamtblocks 4.1.1 Bestimmung der mechanischen Eigenschaften des Ingot 4.1.2 Berechnungsergebnisse 4.2 Strukturmechanisches Modell des Gesamtblocks und Ankopplung an den Sägedraht 4.3 Variationsformulierungen der gekoppelten Gesamtsysteme unter Berücksichtigung des Materialabtrages 4.3.1 Gesamtmodell I 4.3.2 Gesamtmodell II 4.4 Simulation des Schnittvorganges 5 Zusammenfassung / Ausblick 6 Verzeichnisse 6.1 Literaturverzeichnis 6.1.1 Allgemeine Literatur 6.1.2 Literatur zum Thema Drahtsägen 6.1.3 Literatur zum Thema bewegte Kontinua Anhang
The aim of the present thesis is to generate macroscopic models to describe the wire sawing process. The principal purpose is to illustrate basic effects and to investigate the influence of important process parameters relating to the dynamics of the system. A fundamental point is the modeling of the moving wire. Because of the axially movement of the continuum the boundary conditions and spatial acting loads are non-material. The precise kinematical description of this issue is the pre-condition for the correct evaluation of HAMILTON’s principle to characterize the dynamics of the system. The resultant complex system behavior is a consequence of the movement of the wire, of the formulation of the contact forces as follower loads and of explicitly time-dependent model parameters. The results of research contain studies of steady state equilibrium solutions and the proof of their LJAPUNOW stability, the calculation of eigenfrequencies, steady state time solutions under harmonically oscillating contact forces and the simulation of the material removal during the cutting process.:1 Einleitung 1.1 Technische Problemstellung und Motivation der Arbeit 1.2 Literaturübersicht 1.3 Thema und Gliederung der Arbeit 2 Theoretische Grundlagen 2.1 Notation und mathematische Grundlagen 2.2 Kinematische Grundlagen der Kontinuumsmechanik 2.2.1 Konfiguration und Betrachtungsweisen 2.2.2 Verformungskinematik 2.2.3 Zeitableitungen 2.3 Variationsrechnung 2.3.1 Grundlagen 2.3.2 Verallgemeinerte Variationen 2.4 Kinetik / Prinzip von HAMILTON 2.5 Diskretisierung von Feldproblemen 2.6 Stabilität stationärer Lösungen 2.6.1 Grundlagen der kinetischen Stabilitätstheorie 2.6.2 Erste Methode von LJAPUNOW 2.6.3 Stabilitätsbetrachtung für bewegte Kontinua 2.7 Zeitlösung 2.7.1 Homogene Lösung der Störungsdifferentialgleichungen 2.7.2 Partikuläre Lösung der Störungsdifferentialgleichungen 3 Mechanisches Modell und Modellvarianten 3.1 Kinematik des Drahtes in LAGRANGE-Koordinaten 3.2 Kinematik des Drahtes in EULER-Koordinaten 3.3 Modell I 3.3.1 Variationsformulierung und Feldgleichungen 3.3.2 Ortsdiskretisierung der Variationsformulierung 3.3.3 Stationäre Lage, Stabilitätsuntersuchung und Zeitlösung 3.4 Modell II 3.4.1 Variationsformulierung und Feldgleichungen 3.4.2 Ortsdiskretisierung der Variationsformulierung 3.4.3 Stationäre Lage, Stabilitätsuntersuchung und Zeitlösung 3.5 Numerische Umsetzung 3.6 Berechnungsergebnisse 3.6.1 Stationäre Lagen 3.6.2 Eigenfrequenzen 3.6.3 Stabilitätsuntersuchungen 3.6.4 Zeitlösungen 4 Ankopplung des Ingot und Modellierung des Materialabtrages 4.1 FE- Modell des Gesamtblocks 4.1.1 Bestimmung der mechanischen Eigenschaften des Ingot 4.1.2 Berechnungsergebnisse 4.2 Strukturmechanisches Modell des Gesamtblocks und Ankopplung an den Sägedraht 4.3 Variationsformulierungen der gekoppelten Gesamtsysteme unter Berücksichtigung des Materialabtrages 4.3.1 Gesamtmodell I 4.3.2 Gesamtmodell II 4.4 Simulation des Schnittvorganges 5 Zusammenfassung / Ausblick 6 Verzeichnisse 6.1 Literaturverzeichnis 6.1.1 Allgemeine Literatur 6.1.2 Literatur zum Thema Drahtsägen 6.1.3 Literatur zum Thema bewegte Kontinua Anhang

碩士
國立成功大學
醫學工程研究所
88
Atlanto-axial (C1-C2) segments were kinematically evaluated for 3-axial motions using a canine model. Five groups were categorized according to various posterior cervical fixation methods: intact, ligament-injured, Halifax clamping, Brooks wiring, posterior plating groups. Kinematics was measured in three planes of motion: sagittal and transverse planes, and frontal plane. Three dimensional motions for each specimen were recorded during four sequential loads applied onto C1 vertebrae by using a Motion Analysis System (Vicon 370). The results showed that kinematic differences were statistically significant between the control and ligament-injured group in three different planes of motion, including sagittal, transverse and frontal planes, and so were Halifax clamp and posterior plate groups. Kinematic differences were statistically significant between the control and wire group in each plane of motion, except for sagittal and frontal planes of motion. The range of motion (ROM) was greater in ligament-injured group than that in control group. Additionally, Halifax clamp, wire and posterior plate groups achieved immediately stability, even with ROM less than control group. Kinematic differences were statistically significant between wire and plate groups in three planes of motion, but were not between Halifax clamp and wire groups and neither were Halifax and plate groups.

There exists considerable motivation to reduce vehicle weight through the adoption of lightweight materials, such as aluminum alloys, while maintaining energy absorption and component integrity under crash conditions. To this end, it is of particular interest to study the crash behaviour of lightweight tubular hydroformed structures to determine how the forming behaviour affects the axial crush response. Thus, the current research has studied the dynamic crush response of both non-hydroformed and hydroformed EN-AW 5018 and AA5754 aluminum alloy tubes using both experimental and numerical methods. Experiments were performed in which hydroforming process parameters were varied in a parametric fashion after which the crash response was measured. Experimental parameters included the tube thickness and the hydroformed corner radii of the tubes. Explicit dynamic finite element simulations of the hydroforming and crash events were carried out with particular attention to the transfer of forming history from the hydroforming simulations to the crash models. The results showed that increases in the strength of the material due to work hardening during hydroforming were beneficial in increasing energy absorption during crash. However, it was shown that thinning in the corners of the tube during hydroforming decreased the energy absorption capabilities during axial crush. Residual stresses resulting from hydroforming had little effect on the energy absorption characteristics during axial crush. The current research has shown that, in addition to capturing the forming history in the crash models, it is also important to account for effects of material non-linearity such as kinematic hardening, anisotropy, and strain-rate effects in the finite element models. A model combining a non-linear kinematic hardening model, the Johnson-Cook rate sensitive model, and the Yld2000-2d anisotropic model was developed and implemented in the finite element simulations. This combined model did not account for the effect of rotational hardening (plastic spin) due to plastic deformation. It is recommended that a combined constitutive model, such as the one described in this research, be utilized for the finite element study of materials that show sensitivity to the Bauschinger effect, strain-rate effects, and anisotropy.

The problem of pile - soil interaction is examined in the Thesis at hand by means of both theoretical analyses and experimental investigations. Pile foundations in seismically prone areas are subjected to both direct loading, such as axial and lateral forces imposed at their heads, resulting from a phenomenon known as inertial interaction, and indirect loading along their body, such as imposed displacements due to the passage of various types of seismic waves, resulting from a phenomenon known as kinematic interaction. Along this vein, a family of analytical models of the Tajimi type are presented in the framework of linear elastodynamic theory to explore the effects of axial and lateral pile - soil interaction in homogeneous and inhomogeneous soil under static and dynamic (kinematic and inertial) loading. Apart from simplified two-dimensional models of the Baranov - Novak type, few analytical solutions are available to tackle these problems in three dimensions, the majority of which are restricted to the analysis of an elastic half space under static conditions. The proposed models are based on a continuum solution pioneered by Japanese investigators (notably Matuso & Ohara and Tajimi) in the 1960’s. In the realm of this approach the soil is modelled as a continuum, while the pile is conveniently modelled as a rod or a beam by strength-of-materials theory. Displacements and stresses are expressed through Fourier series in terms of the natural modes of the soil medium. Fundamental to the analysis presented in this study is that the influence of horizontal soil displacement on axial pile response and vertical displacement on lateral response, respectively, are negligible. However, their effect on stresses is not negligible which differentiates the proposed models from the classical Tajimi solutions in which the aforementioned displacements are set equal to zero. The above approximations are attractive, as they lead to a straightforward uncoupling of the equations of motions, even in inhomogeneous media, unlike the classical elastodynamic theory where the uncoupling is generally impossible in presence of inhomogeneity. Although approximate, the proposed models are advantageous over available analytical models and rigorous numerical schemes, as they require relative simple computations and provide excellent predictions of pile response at the frequency ranges of interest in earthquake engineering and geotechnics. In addition, they are advantageous over existing simplified analytical approaches of the Winkler type, as they are more accurate, self - standing, free of empirical constants and provide more realistic simulation of the problem. The main advantage over numerical methods (finite and boundary elements) lies in the derivation of the solution in closed form and the elucidation of complex mechanisms related to the dynamic interaction phenomenon, such as radiation damping and wave propagation in in homogeneous media. The main goal of the theoretical effort lies in the derivation of solutions in closed - form for: (i) the static stiffness and the dynamic impedances (dynamic stiffness and damping coefficients) at the pile head, (ii) translational and rotational kinematic response factors (pile head displacement or rotation over free-field response), (iii) actual, depth- dependent, Winkler moduli (spring and damping coefficients), (iv) corresponding average, depth- independent, Winkler moduli to match the pile head stiffness. In addition, simple approximate formulae for Winkler moduli to be used in engineering practice are proposed, to improve the predictions of Winkler models. Pile-to-pile interaction is investigated on the basis of the superposition method for axially loaded piles. Closed-form expressions for attenuation functions are derived to be used individually or in conjunction with more elaborate methods providing more accurate predictions for static and dynamic interaction factors to assess the vertical stiffness of pile groups. New dimensionless frequency ratios controlling pile response are introduced. Finally, new solutions are added in the context of analytical Winkler models for investigating the behaviour of piles under kinematic loading due to vertically-propagating S waves. Emphasis is given on the influence of boundary conditions of the pile. With reference to kinematic pile bending, insight into the physics of the problem is gained through a rigorous superposition scheme involving an infinitely-long pile excited kinematically, and a pile of finite length excited by a concentrated force and a moment at the tip. Contrary to the classical elastodynamic theory where pile response is governed by six dimensionless ratios, in the realm of Winkler theory three only ratios suffice to fully describe the interaction problem, from which the mechanical slenderness and the effective dimensionless frequency are introduced for the first time. The selection of an appropriate value for the Winkler modulus in the accuracy of the kinematic Winkler model is demonstrated. The theoretical results are compared to new experimental data obtained from a series of tests on piles carried out on scaled models performed on the shaking table at University of Bristol Laboratory (BLADE) within the framework of the Seismic Engineering Research Infrastructures (SERIES) program, sponsored by FP7, and contribute in the investigation of pile - soil interaction.
Στην παρούσα διατριβή εξετάζεται το πρόβλημα της αλληλεπίδρασης πασσάλου - εδάφους μέσω συνδυασμένης θεωρητικής ανάλυσης και πειραματικής διερεύνησης. Οι πάσσαλοι, ως μέσο θεμελίωσης σε σεισμογόνες περιοχές, υπόκεινται σε άμεση φόρτιση στην κεφαλή, μέσω δυνάμεων και ροπών, ως αποτέλεσμα του φαινομένου της αδρανειακής αλληλεπίδρασης, αλλά και σε έμμεση φόρτιση σε όλο τους το μήκος, μέσω επιβαλλόμενων εδαφικών μετακινήσεων, ως αποτέλεσμα του φαινομένου της κινηματικής αλληλεπίδρασης. Στην κατεύθυνση αυτή παρουσιάζεται η ανάπτυξη οικογένειας αναλυτικών προσομοιωμάτων τύπου Tajimi, στο πλαίσιο της γραμμικής ελαστοδυναμικής θεωρίας, για τη διερεύνηση της αξονικής και πλευρικής αλληλεπίδρασης πασσάλου - εδάφους σε ομοιογενείς και ανομοιογενείς εδαφικούς σχηματισμούς, υπό στατική και δυναμική φόρτιση κινηματικής και αδρανειακής μορφής. Εκτός από απλοποιημένα διδιάστατα προσομοιώματα τύπου Baranov - Novak, ελάχιστες αναλυτικές λύσεις είναι διαθέσιμες σε τρεις διαστάσεις, οι περισσότερες των οποίων περιορίζονται στην ανάλυση ελαστικού ημίχωρου υπό στατικές συνθήκες. Τα προτεινόμενα προσομοιώματα βασίζονται σε μια πρωτοποριακή λύση συνεχούς μέσου (κατά Matsuo & Ohara και Tajimi) η οποία αναπτύχθηκε στη δεκαετία του 1960, αλλά δεν επεκτάθηκε ουσιαστικά μέχρι την παρούσα εργασία. Στο πλαίσιο αυτής της προσέγγισης το έδαφος προσομοιώνεται ως συνεχές μέσο και ο πάσσαλος ως ράβδος ή δοκός σύμφωνα με τη τεχνική θεωρία της κάμψης (παραδοχή επιπεδότητας των διατομών), ενώ οι μετακινήσεις και οι τάσεις εκφράζονται μέσω αναπτυγμάτων Fourier σε όρους των φυσικών ιδιομορφών του εδαφικού μέσου. Θεμελιώδης παραδοχή της προτεινόμενης ανάλυσης είναι ότι η επιρροή της οριζόντιας εδαφικής μετακίνησης στην αξονική απόκριση του πασσάλου, αλλά και η επιρροή της κατακόρυφης μετακίνησης στην πλευρική απόκριση θεωρούνται αμελητέες, ωστόσο η επίδρασή τους στις τάσεις είναι μη μηδενική, πράγμα που τις διαφοροποιεί από τις κλασσικές λύσεις τύπου Tajimi στις οποίες οι ανωτέρω μετακινήσεις μηδενίζονται. Οι ανωτέρω προσεγγίσεις κρίνονται ως ιδιαίτερα ελκυστικές καθώς οδηγούν στην άμεση απόζευξη των εξισώσεων της κίνησης, ακόμη και σε ανομοιογενή μέσα, αντίθετα με την κλασσική ελαστοδυναμική θεωρία, η απόζευξη είναι γενικώς αδύνατη παρουσία εδαφικής ανομοιογένειας. Παρά τον προσεγγιστικό τους χαρακτήρα, τα προτεινόμενα αναλυτικά προσομοιώματα πλεονεκτούν ως προς διαθέσιμα αναλυτικά προσομοιώματα και αυστηρά αριθμητικά σχήματα, καθώς απαιτούν σχετικά απλούς υπολογισμούς και παρέχουν εξαιρετικές προβλέψεις της απόκρισης του πασσάλου για το εύρος συχνοτήτων που παρουσιάζει ενδιαφέρον στη σεισμική μηχανική και τα γεωτεχνικά. Επιπρόσθετα, υπερτερούν ως προς υφιστάμενες αναλυτικές προσεγγίσεις τύπου Winkler, καθώς είναι ακριβέστερα, αυτόνομα, απαλλαγμένα από εμπειρικές σταθερές και προσφέρουν ρεαλιστικότερη προσομοίωση του προβλήματος. Το κύριο πλεονέκτημα έναντι των αριθμητικών μεθόδων (πεπερασμένα και συνοριακά στοιχεία) έγκειται στην εξαγωγή της λύσης σε κλειστή μορφή και στη διερεύνηση πολύπλοκων φαινομένων που σχετίζονται με την αλληλεπίδραση πασσάλου - εδάφους, όπως αυτό της απόσβεσης ακτινοβολίας και της διάδοσης κυμάτων στο έδαφος - ειδικά παρουσία ανομοιογένειας. Ο κύριος στόχος της θεωρητικής διερεύνησης υλοποιείται με την εξαγωγή λύσεων σε κλειστή μορφή για: (i) τη στατική και δυναμική στιφρότητα και απόσβεση στην κεφαλή του πασσάλου, (ii) τους συντελεστές κινηματικής απόκρισης σε μετάθεση και στροφή, (iii) τους πραγματικούς, συναρτήσει του βάθους, συντελεστές Winkler (συντελεστής στιφρότητας ελατηρίων και συντελεστής απόσβεσης), (iv) τους αντίστοιχους μέσους, ανεξάρτητους από το βάθος, συντελεστές Winkler. Επιπρόσθετα, παρουσιάζονται ακριβέστερες των διαθέσιμων στη βιβλιογραφία απλές προσεγγιστικές σχέσεις για τον υπολογισμό του συντελεστή Winkler με σκοπό τη βελτίωση της ακρίβειας των προσομοιωμάτων Winkler. Διερευνάται η αλληλεπίδραση πασσάλου προς πάσσαλο στην περίπτωση αξονικά φορτισμένων πασσάλων με βάση την αρχή της επαλληλίας. Εξάγονται λύσεις σε κλειστή μορφή για τις συναρτήσεις εξασθένισης ώστε να χρησιμοποιηθούν αυτόνομα ή σε συνδυασμό με πιο εκλεπτυσμένες λύσεις δίνοντας με στόχο ακριβέστερες προβλέψεις για τους συντελεστές αλληλεπίδρασης, οδηγώντας έτσι σε πιο ρεαλιστικές εκτιμήσεις της κατακόρυφης στιφρότητας ομάδας πασσάλων. Εισάγονται νέοι αδιάστατοι λόγοι συχνοτήτων που καθορίζουν την απόκριση του πασσάλου. Τέλος, παρουσιάζονται νέες λύσεις σε αναλυτικά προσομοιώματα Winkler για τη διερεύνηση της συμπεριφοράς πασσάλων υποκείμενων σε φόρτιση λόγω της κατακόρυφης διάδοσης διατμητικών κυμάτων στο έδαφος, με έμφαση στην επίδραση των οριακών συνθηκών του προβλήματος. Σε αντίθεση με την κλασσική ελαστοδυναμική θεωρία που η απόκριση του πασσάλου καθορίζεται από έξι αδιάστατους λόγους, στο πλαίσιο της θεωρίας Winkler επαρκούν μόνο τρεις για την πλήρη περιγραφή της αλληλεπίδρασης πασσάλου - εδάφους, εκ των οποίων η μηχανική λυγηρότητα και η ενεργός αδιάστατη συχνότητα παρουσιάζονται για πρώτη φορά. Καταδεικνύεται η σημασία επιλογής της κατάλληλης τιμής του συντελεστή Winkler στην ακρίβεια των εν λόγω προσομοιωμάτων. Προτείνεται σύστημα υπέρθεσης που αποτελείται από ένα απειρομήκη πάσσαλο που διεγείρεται κινηματικά και έναν πάσσαλο πεπερασμένου μήκους που υπόκειται σε αδρανειακή φόρτιση για τη διαλεύκανση της λειτουργίας του θεμελιώδους μηχανισμού που καθορίζει την κινηματική κάμψη του πασσάλου. Τα θεωρητικά αποτελέσματα συγκρίνονται με νέα πειραματικά δεδομένα από σειρά δοκιμών σε διάταξη πασσάλων υπό κλίμακα που εκτελέστηκαν στο σεισμικό προσομοιωτή του Πανεπιστήμιου του Bristol στο πλαίσιο του Ευρωπαϊκού Προγράμματος SERIES, το οποίο χρηματοδοτήθηκε από το κοινοτικό πλαίσιο FP7 που συμβάλλουν στην περαιτέρω διερεύνηση του φαινομένου της κινηματικής αλληλεπίδρασης εδάφους - πασσάλου.

The textbook discusses the kinematics and dynamics of inline piston internal combustion engines with axial and deaxial crank mechanism. The necessary material for calculating the forces and moments acting in the engine is given, the balancing of engines, the construction of vector diagrams of pressure on the crankshaft bearings are considered, examples of calculations are given. Meets the requirements of the federal state educational standards of higher education of the latest generation. For students of higher educational institutions studying in the field of training "Energy engineering".

ABSTRACT Structural analysis of overturned metasedimentary strata of the lower Witwatersrand Supergroup in the inner collar of the Vredefort Dome reveals the presence of tangential folds and faults associated with the 2.02 Ga impact. The folds are distinct from previously identified subradially oriented, vertical to plunging-inclined, gentle folds that are interpreted as the products of convergent flow (constriction) during the initial stages of central uplift formation. The tangential folds comprise disharmonic, open, asymmetric, horizontal to plunging-inclined anticline-syncline pairs with centripetally dipping axial planes and right-way-up intermediate limbs. They display centripetal-down vergence (anticline radially outward of the syncline) that is consistent with steep inward-directed shear of the overturned strata. We attribute this kinematic pattern to subvertical collapse of the Vredefort central uplift during the latter stages of crater modification. The folds are cut by pseudotachylite-bearing steep to vertical tangential faults that display center-down slip of &lt;10 m up to ~150 m. Both the tangential folds and the faults suggest that the large-scale overturning of strata related to outward collapse of the Vredefort central uplift was accompanied by a component of inward-directed collapse via layer-parallel shearing and folding, followed by faulting. Subradially oriented faults with conjugate strike separations of 1–2 km in the NNE collar of the dome suggest penecontemporaneous tangential extension of the inner collar rocks. This evidence indicates that second-order structures in the metasedimentary collar of the Vredefort Dome preserve a complex, multistage record of evolving strain associated with both initial convergent and upward flow (constriction) related to central uplift rise and later divergent and downward flow (flattening) linked to its collapse, and that centripetally directed collapse features may be important components of the structural inventory of very large central uplifts.

Over the years it has been speculated that the performance of multi-stage axial flow compressors is enhanced by the passage of a wake through a blade row prior to being mixed-out by viscous diffusion. The link between wake mixing and performance depends on the ability to recover the total pressure deficit of a wake by a reversible flow process. This paper shows that such a process exists, it is unsteady, and is associated with the kinematics of the wake vorticity field. The analysis shows that the benefits of wake total pressure recovery can be estimated from linear theory and quantified in terms of a volume integral involving the deterministic stress and the mean strain rate. In the limit of large reduced frequency the recovery process is shown to be a direct function of blade circulation. Results are presented which show that the recovery process can reduce the wake mixing loss by as much as seventy percent. Under certain circumstances this can lead to nearly a point improvement in stage efficiency, a nontrivial amount.

A healthy spinal disc is capable of 3 degrees of rotation and has a force-deflection response that helps to stabilize the spine. Age or trauma can cause the stability of the spine to decrease. Spinal fusion, the current surgical treatment of choice, stabilizes the spine by rigid fixation, reducing spinal mobility at the cost of increased stress at adjacent levels. This paper introduces a compliant mechanism that has the potential to closely mimic the physiological motion profile of the natural spinal disc. Compliant mechanisms have properties that make them well suited for spinal implants that restores the range of motion and the forcedeflection response of the spine. This paper presents an introduction to the biomechanics of the spinal disc, reviews the state of the art in spinal care, and proposes the use of the Flexure-based Bi-Axial Contact-aided (Flex-BAC) compliant mechanism as a spinal arthroplasty device (artificial disc). The Flex-BAC compliant mechanism offers the potential to restore both the kinematics and kinetics of a damaged spinal disc. The disc provides the ability to eliminate wear through rolling. An overview of the device and a preliminary kinematic and kinetic analysis are given.

A mathematical model of the torsional-axial chatter vibrations in drilling is presented. The model considers the exact kinematics of both rigid body, and coupled torsional and axial vibrations of the drill. The drill is modeled as a pretwisted beam that exhibits axial deflections due to torque and thrust loading. A mechanistic cutting force model is used to model the cutting torque and thrust as a function of feedrate, speed, radial depth of cut, and drill geometry. The drill rotates and feeds axially into the workpiece while the structural vibrations are excited by the cutting torque and thrust force. The exact location of the drill edge is predicted using the model, and the generated surface is digitized at discrete time intervals. The distribution of chip thickness, which is affected by both rigid body motion and structural vibrations, is evaluated by subtracting the presently generated surface from the previous one. The model considers nonlinearities in cutting coefficients, tool jumping out of cut and overlapping of multiple regeneration waves. The dynamic chip thickness obtained from the true kinematics model allows simultaneous prediction of force, torque, power and dimensional form errors left on the surface. The time domain simulation model allows prediction of stability lobes. The paper provides details of the mathematical model, supported by experimental results of both stable and unstable cuts.

In heavy-duty gas turbines, the micro-particles not captured by the air filtration system can cause fouling and, consequently, a performance drop of the compressor. This paper presents three-dimensional numerical simulations of the micro-particle ingestion (0–2 μm) on an axial compressor rotor carried out by means of a commercial computational fluid dynamic code. Particle trajectory simulations use a stochastic Lagrangian tracking method that solves the equations of motion separately from the continuous phase. The NASA Rotor 37 is considered as a case study for the numerical investigation. The compressor rotor numerical model and the discrete phase model were previously validated by the authors in the first part of this work. The kinematic characteristics (velocity and angle) of the impact of micrometric and sub-micrometric particles with the blade surface of an axial transonic compressor are shown. The blade zones affected by particle impact were extensively analyzed and reported in the first part of this work, forming the starting point for the analyses shown in this paper. The kinematic analysis showed a high tendency of particle adhesion on the suction side, especially for the particles with a diameter equal to 0.25 μm. Fluid dynamic phenomena and airfoil shape play a key role regarding particle impact velocity and angle. This work has the goal of combining, for the first time, the kinematic characteristics of particle impact on the blade with fouling phenomenon by the use of a quantity called sticking probability adopted from literature. From these analyses, some guidelines for a proper management of the power plant (in terms of filtration and washing strategies) are highlighted.

Although compressor blades have long been shrouded for aerodynamic and structural reasons, the impact of the leakage flow in the shroud cavities on passage flows has only recently been investigated. Furthermore, the tangential velocity of the leakage flow, set by the blading and the relative motion between rotating and stationary surfaces, has a strong influence on the passage flow. Yet the influence of the tangential velocity variation on the kinematics and dynamics (loss) of the leakage flow (from its ingress to egress) in the shrouded cavity and main flow in the blade passage are unknown. Therefore, this paper reports on an experimental investigation of the axial evolution of loss generation in the blade passage and behavior of the leakage flow in the seal cavity in shrouded axial compressor cascades subject to the variation of leakage tangential velocity. The newly found results are as follows. First, increasing tangential velocity of the leakage flow reduces loss at 10% and 50% chordwise locations in the passage. However, most of the blockage and loss reductions occurs in the aft half chord and downstream of the blade passage. Second, the increasing tangential velocity spreads the loss core, which is originally concentrated in the suction side hub corner, in the pitchwise direction. Thus, the loss core becomes more two-dimensional, and the region’s radial extent is reduced. Third, increasing tangential velocity of the leakage flow makes the near hub passage flow more radially uniform. Consequently, the shear and resultant mixing loss between the passage and leakage flows are reduced near the hub, reducing the overall loss. Finally, the leakage flow is ingested through the downstream cavity and makes an abrupt turn at the seal tooth. Thus, two distinct flow regions — downstream and upstream of the single-tooth seal — are found. Before the leakage flow rejoins the mainstream via the upstream cavity trench, the leakage flow circumferentially migrates in the direction of rotation. The magnitude of the circumferential shift depends strongly on the leakage tangential velocity.