This thesis is dealing with a detailed analysis of electromechanical brake used in emergency situations to stop the electric motor. Environmental influences, bad material proposal or bad design parameters can significantly limit the behaviour of a brake. The thesis presents several approaches to avoid these limitations, to limit the reaction time and achieve better results. The attached programs can be used either for innovation, or for the new brake design based on the entry requirements.

Die Dissertation beschäftigt sich mit der grundlagenorientierten Untersuchung reibdauerbeanspruchter Stahl-Kontakte und deren Festigkeitsbewertung. Die Besonderheit bei der Bewertung reibdauerbeanspruchter Kontakte stellt die zusätzlich zur spannungsmechanischen Beanspruchung vorliegende tribologische Beanspruchung des Werkstoffes dar. Die ursächlich auf eine Anrissinitiierung in der Bauteiloberfläche zurückzuführende niedrigere Ermüdungsfestigkeit reibdauerbeanspruchter Bauteilverbindungen, zeigt sich in Abhängigkeit des Fugendrucks, des Schlupfes und des Werkstoffes. Basierend auf den genannten Einflussgrößen konnte in der vorliegenden Arbeit ein Berechnungsverfahren erarbeitet werden, welches eine betriebssichere Auslegung reibdauerbeanspruchter Fügeverbindungen ermöglicht. Das Verfahren basiert auf dem örtlichen Konzept der FKM-Richtlinie „Rechnerischer Festigkeitsnachweis für Maschinenbauteile“ und implementiert den Schadenfall der Reibdauerermüdung durch einen Oberflächeneinflussfaktor, dem sogenannten Reibkorrosionsfaktor. Die tribologischen Beanspruchungsparameter Schlupf und Fugendruck werden dabei über eine Worst-Case-Betrachtung berücksichtigt. Durch eine von der Zugfestigkeit des Grundwerkstoffes abhängige Darstellung des Reibkorrosionsfaktors, konnte darüber hinaus eine systemspezifische Berechnung der Ermüdungsfestigkeit erreicht werden. Die Validierung des Berechnungsverfahrens erfolgte an einer Pleuelverbindung. / The doctoral thesis investigates basically the fretting fatigue strength of steel contacts and their strength assessment. Especially the tribological loading conditions which are present at the contact surface cause a specific method of the strength assessment of joined contacts. In this context, the lower fatigue strength of component connections under tribological loading conditions, which is the result of crack nucleation at the component surface, depends on the contact pressure, the slip and the basic-material. Based on these parameters, a calculation method was developed in the present study which allows a reliable design of component connections under fretting conditions. This method is based on the local concept of the FKM-guideline 'Rechnerischer Festigkeitsnachweis für Maschinenbauteile' and introduces the fretting fatigue failure mechanism by a surface factor, the so-called fretting factor. These fretting factors are calculated empirically and based on a worst-case approach of the tribological parameters slip and contact pressure. Furthermore it is possible to determine the fretting factor according to the tensile strength of the basic-material. As a result of this, it is possible to calculate the system-specific fretting fatigue strength of joined steel-components. The improved calculation accuracy of the strength assessment was validated on connecting rods.

In der Fördertechnik werden zunehmend Transportketten und Gleitelemente aus thermoplastischen Kunststoffen eingesetzt. Wesentliche Vorteile sind der schmierungsfreie und damit saubere und wartungsarme Betrieb, die geringe Eigenmasse sowie die mit hoher Gestaltungsfreiheit und Effizienz verbundene Fertigungstechnologie im Spritzgießverfahren. Die Bauelemente der Fördersysteme werden in der Praxis sehr unterschiedlich beansprucht. Da jedoch die mechanischen und tribologischen Eigenschaften der Kunststoffe signifikant von den Belastungs- und Umgebungsbedingungen, insbesondere der Temperatur, abhängig sind, ist die Entwicklung und Charakterisierung geeigneter Werkstoffsysteme sehr komplex. Im Vortrag werden diese Herausforderungen thematisiert und Möglichkeiten zur praxisnahen Untersuchung und Bereitstellung von Kennwerten vorgestellt. / In conveyor systems, transport chains and sliding elements made of thermoplastic materials are increasingly used. Major advantages are lubrication-free and so clean and low-maintenance operation, low weight as well as design-flexible and efficient injection molding manufacturing. In practice, components of conveyor systems are stressed in very different ways. However, mechanical and tribological properties of plastics are significantly dependent on load and environmental conditions, in particular temperature. Therefore, the development and characterization of suitable material systems are very complex. In the talk, these challenges are addressed and opportunities for practical investigation and provision of characteristic properties are presented.

Transportketten aus thermoplastischen Kunststoffen gehören zu den am häufigsten eingesetzten Zugmitteln in der Stetigfördertechnik. Wesentliche Vorteile, insbesondere gegenüber Stahlketten, sind eine geringe Masse, eine hocheffiziente Fertigung sowie sehr gute Reibungs- und Verschleißeigenschaften, die den schmierungsfreien Betrieb der Förderer ermöglichen. Die Dimensionierung der Förderanlagen erfolgt primär über eine zulässige Kettenzugkraft. Das setzt voraus, dass sowohl die im System vorherrschende als auch die für die Kette ertragbare Zugkraft bekannt ist. Der Beitrag behandelt zum einen die Herausforderungen bei der Ermittlung dieser Werte, z. B. lastabhängige Reibkoeffizienten und fehlende Dauerfestigkeitswerte. Zum anderen wird auf die reibungsbedingte Erwärmung der Gleitelemente eingegangen. Diese beeinflusst signifikant die mechanischen Eigenschaften und führt teilweise zum Aufschmelzen der Kunststoffelemente, wird jedoch nach den üblichen Dimensionierungsmethoden nicht berücksichtigt. / Transport chains made of thermoplastic materials are among the most frequently used traction mechanisms in conveying technology. Fundamental advantages, in particular compared to steel chains, are a low mass, a highly efficient production and excellent friction and wear properties that allow lubrication-free operation of conveyors. The dimensioning of conveyor systems is primarily carried out via a permissible chain tractive force. This presupposes that the system's prevailing forces and the chain's maximum allowable tractive force are known. The paper deals on the one hand with the challenges of identifying these values, such as load-depending coefficients of friction and missing fatigue strength values. On the other hand, the frictioninduced heating of the sliding elements is discussed. This heating significantly affects the mechanical properties and partially leads to melting of the plastic elements, but is not taken into account by the common dimensioning methods.

The Swedish Winter Olympic team is one of the strongest Olympic teams in theworld, and the majority of the team’s success comes from ski-related sports. So howcan the Swedish team remain, and maybe even accelerate, its competitive advantage? The answer is science. In order to narrow down the broad field that is equipment development, this thesishad the purpose to examine the stone grind’s impact on friction between the ski andthe snow. To achieve this purpose, the project was designed to answer these threequestions: • How does the ski base impact the friction between the ski and the snow? • How do the stone grind’s parameters impact the ski base? • How do the stone grind’s parameters impact the friction between the ski andthe snow? To answer these questions, a total of three pilot tests were done before the finalfull-scale experiment. The method to strategically test the parameters of the stonegrind was to use a full two-level factorial design, with a total of three stone grindparameters being investigated. Those parameters were: Cutting Depth, Line Density,and Wheel Pressure. The skis were tested in Arctic Fall’s indoor facilities where theskis were tested with a winch set-up to get the skis up to a desired speed, and thedata collected from the test were speed data from each of the skis. This speed datawould then be used to calculate the coefficient of friction acting between the ski andthe snow. To understand the stone grinds parameters on the ski base, the ski basesurfaces were measured after the skis were grounded, to build a regression modelconsisting of stone grind parameters as independent variables, and surface parametersbeing the dependent variables. A model was created suggesting that in the conditions the tests were executed, thesurface parameters Sa should be minimized and Sm should be maximized to achievea minimized coefficient of friction. A more generalisable model to impact the surfaceparameters Sa and Sm was also generated. It suggests that to impact Sa and Sm, itis the stone grind parameter Cutting Depth and Line Density that should be adjustedto achieve a desirable ski base structure.

O objetivo principal do estudo é comparar o teste em 3 pontos com braquetes com o teste de resistência ao deslizamento utilizando um novo dispositivo que realiza a mensuração simultânea do coeficiente de atrito, das forças e dos momentos nos braquetes de ancoragem e da força de desativação no braquete desalinhado, exercidos por fios ortodônticos. Os objetivos secundários foram desenvolver o dispositivo e comparar, no teste em 3 pontos: (i) a influência, nas grandezas e no coeficiente de atrito cinético, da variação da simetria nas distâncias inter-braquetes, do tipo de braquete de ancoragem (canino ou 2º pré-molar), do deslocamento (3 ou 5mm) do braquete central, do sentido do desalinhamento (vestibular ou lingual) do braquete central e da marca de fio-braquete; (ii) as 3 formas de cálculo do coeficiente de atrito cinético; (iii) os 10 ciclos, para vestibular ou lingual, para verificar se eles são semelhantes ou não entre si. Foram utilizados braquetes autoligáveis (dentes 13, 14 e 15) e fios 0.014\'\' NiTi e CuNiTi das marcas Aditek e Ormco. O teste de resistência ao deslizamento foi realizado no desalinhamento lingual, nos dois deslocamentos e na configuração simétrica. O teste em 3 pontos com braquetes foi realizado no desalinhamento lingual e vestibular, nos dois deslocamentos e na configuração simétrica e assimétrica. Por meio da ANOVA, foram comparados, entre os dois tipos de teste: (A) as grandezas e o coeficiente de atrito e (B) o coeficiente de atrito gerado apenas no braquete de 2º pré-molar. Utilizando-se do mesmo teste estatístico foram comparados, no teste em 3 pontos com braquetes: (A) na configuração simétrica, algumas grandezas e o coeficiente de atrito advindos da variação da marca de fio-braquete, do deslocamento, do desalinhamento e do tipo de braquete; (B) algumas grandezas e o coeficiente de atrito gerados na configuração simétrica e assimétrica; (C) os valores das 3 formas de cálculo do coeficiente de atrito na configuração simétrica; e (D) algumas grandezas e o coeficiente de atrito encontrados nos 10 ciclos. Resultados: (A) a maioria dos valores das grandezas e do coeficiente de atrito gerados pelos dois tipos de teste foram diferentes estatisticamente; (B) o braquete de 2º pré-molar apresentou valores de coeficiente de atrito diferentes entre os dois tipos de teste; (C) na configuração simétrica, as variáveis foram estatisticamente significantes na maioria dos casos para as grandezas analisadas e para o coeficiente de atrito; (D) houve diferença entre a configuração simétrica e assimétrica; (E) o coeficiente de atrito baseado nas duas normais e na força de atrito se aproximou mais da realidade clínica e foi sensível à variação da geometria da relação fio-braquete; e (F) os 10 ciclos para lingual foram semelhantes entre si em 70% dos casos e os 10 ciclos para vestibular foram diferentes em 57% dos casos. Conclusões: o teste em 3 pontos com braquetes é diferente do teste de resistência ao deslizamento; a variação das configurações geométricas e da marca de fio-braquete pode influenciar nos valores das grandezas e do coeficiente de atrito cinético; os 10 ciclos para lingual foram mais semelhantes entre si que os 10 ciclos para vestibular. / The main objective of the study is to compare the three-bracket bending test with the resistance to sliding test using a new device that performs simultaneous measurement of coefficient of friction, the forces and moments on the anchor brackets and deactivation force in misaligned bracket, exercised by orthodontic wires. Secondary objectives were to develop the device and compare, in the three-bracket bending test: (i) the influence, on the physical quantities and on the kinetic friction coefficient, of the variation of the symmetry in the inter-bracket distance, of the type of anchor bracket (canine or 2nd premolar), of displacement (3 or 5mm) and misalignment (buccal or lingual) of the central bracket, and of the wire and bracket brand; (ii) the three ways to calculate the coefficient of kinetic friction; (iii) the 10 cycles, for buccal or lingual, to see if they are similar or not. Self-ligating brackets were used (teeth 13, 14 and 15) and wires 0.014 \'\' NiTi and CuNiTi of Aditek and Ormco brands. The resistance to sliding test was conducted on the lingual misalignment, on both displacements and on symmetrical configuration. The three-bracket bending test was held at the lingual and vestibular misalignment, at both displacements and at the symmetrical and asymmetrical configuration. Through ANOVA, were compared, between the two types of tests: (A) the quantities and the coefficient of friction and (B) the coefficient of friction generated only in the second premolar bracket. Using the same statistical test were compared, in three-bracket bending test: (A) in symmetrical configuration, the quantities and the coefficient of friction arising from the variation in the wire and bracket brands, displacement, misalignment and the type of bracket; (B) the quantities and the coefficient of friction generated by the symmetric and asymmetric configuration; (C) the values of the three ways of calculating friction coefficient; and (D) the quantities and the coefficient of friction encountered in 10 cycles. Results: (A) most of the values of the quantities and the coefficient of friction generated by the two types of test were statistically different; (B) the 2nd premolar bracket showed different friction coefficient values between the two types of test; (C) in the symmetrical configuration, the variables were statistically significant in the most of cases for quantities and the friction coefficient; (D) was found difference between symmetric and asymmetric configuration; (E) the friction coefficient based on both normal forces and frictional force was closer to the clinical reality and was sensitive to variations in the geometry of the wire-bracket relationship; and (F) the 10 cycles for lingual were similar in 70% of cases and the 10 cycles for buccal desalignment were different in 57% of cases. Conclusions: The three-bracket bending test is different from the resistance to sliding test; the variation of geometric configurations and wire and bracket brands may influence the values of the quantities and the coefficient of kinetic friction; the 10 cycles for lingual were more similar to each other than the 10 cycles for buccal.

O objetivo principal do estudo é comparar o teste em 3 pontos com braquetes com o teste de resistência ao deslizamento utilizando um novo dispositivo que realiza a mensuração simultânea do coeficiente de atrito, das forças e dos momentos nos braquetes de ancoragem e da força de desativação no braquete desalinhado, exercidos por fios ortodônticos. Os objetivos secundários foram desenvolver o dispositivo e comparar, no teste em 3 pontos: (i) a influência, nas grandezas e no coeficiente de atrito cinético, da variação da simetria nas distâncias inter-braquetes, do tipo de braquete de ancoragem (canino ou 2º pré-molar), do deslocamento (3 ou 5mm) do braquete central, do sentido do desalinhamento (vestibular ou lingual) do braquete central e da marca de fio-braquete; (ii) as 3 formas de cálculo do coeficiente de atrito cinético; (iii) os 10 ciclos, para vestibular ou lingual, para verificar se eles são semelhantes ou não entre si. Foram utilizados braquetes autoligáveis (dentes 13, 14 e 15) e fios 0.014\'\' NiTi e CuNiTi das marcas Aditek e Ormco. O teste de resistência ao deslizamento foi realizado no desalinhamento lingual, nos dois deslocamentos e na configuração simétrica. O teste em 3 pontos com braquetes foi realizado no desalinhamento lingual e vestibular, nos dois deslocamentos e na configuração simétrica e assimétrica. Por meio da ANOVA, foram comparados, entre os dois tipos de teste: (A) as grandezas e o coeficiente de atrito e (B) o coeficiente de atrito gerado apenas no braquete de 2º pré-molar. Utilizando-se do mesmo teste estatístico foram comparados, no teste em 3 pontos com braquetes: (A) na configuração simétrica, algumas grandezas e o coeficiente de atrito advindos da variação da marca de fio-braquete, do deslocamento, do desalinhamento e do tipo de braquete; (B) algumas grandezas e o coeficiente de atrito gerados na configuração simétrica e assimétrica; (C) os valores das 3 formas de cálculo do coeficiente de atrito na configuração simétrica; e (D) algumas grandezas e o coeficiente de atrito encontrados nos 10 ciclos. Resultados: (A) a maioria dos valores das grandezas e do coeficiente de atrito gerados pelos dois tipos de teste foram diferentes estatisticamente; (B) o braquete de 2º pré-molar apresentou valores de coeficiente de atrito diferentes entre os dois tipos de teste; (C) na configuração simétrica, as variáveis foram estatisticamente significantes na maioria dos casos para as grandezas analisadas e para o coeficiente de atrito; (D) houve diferença entre a configuração simétrica e assimétrica; (E) o coeficiente de atrito baseado nas duas normais e na força de atrito se aproximou mais da realidade clínica e foi sensível à variação da geometria da relação fio-braquete; e (F) os 10 ciclos para lingual foram semelhantes entre si em 70% dos casos e os 10 ciclos para vestibular foram diferentes em 57% dos casos. Conclusões: o teste em 3 pontos com braquetes é diferente do teste de resistência ao deslizamento; a variação das configurações geométricas e da marca de fio-braquete pode influenciar nos valores das grandezas e do coeficiente de atrito cinético; os 10 ciclos para lingual foram mais semelhantes entre si que os 10 ciclos para vestibular. / The main objective of the study is to compare the three-bracket bending test with the resistance to sliding test using a new device that performs simultaneous measurement of coefficient of friction, the forces and moments on the anchor brackets and deactivation force in misaligned bracket, exercised by orthodontic wires. Secondary objectives were to develop the device and compare, in the three-bracket bending test: (i) the influence, on the physical quantities and on the kinetic friction coefficient, of the variation of the symmetry in the inter-bracket distance, of the type of anchor bracket (canine or 2nd premolar), of displacement (3 or 5mm) and misalignment (buccal or lingual) of the central bracket, and of the wire and bracket brand; (ii) the three ways to calculate the coefficient of kinetic friction; (iii) the 10 cycles, for buccal or lingual, to see if they are similar or not. Self-ligating brackets were used (teeth 13, 14 and 15) and wires 0.014 \'\' NiTi and CuNiTi of Aditek and Ormco brands. The resistance to sliding test was conducted on the lingual misalignment, on both displacements and on symmetrical configuration. The three-bracket bending test was held at the lingual and vestibular misalignment, at both displacements and at the symmetrical and asymmetrical configuration. Through ANOVA, were compared, between the two types of tests: (A) the quantities and the coefficient of friction and (B) the coefficient of friction generated only in the second premolar bracket. Using the same statistical test were compared, in three-bracket bending test: (A) in symmetrical configuration, the quantities and the coefficient of friction arising from the variation in the wire and bracket brands, displacement, misalignment and the type of bracket; (B) the quantities and the coefficient of friction generated by the symmetric and asymmetric configuration; (C) the values of the three ways of calculating friction coefficient; and (D) the quantities and the coefficient of friction encountered in 10 cycles. Results: (A) most of the values of the quantities and the coefficient of friction generated by the two types of test were statistically different; (B) the 2nd premolar bracket showed different friction coefficient values between the two types of test; (C) in the symmetrical configuration, the variables were statistically significant in the most of cases for quantities and the friction coefficient; (D) was found difference between symmetric and asymmetric configuration; (E) the friction coefficient based on both normal forces and frictional force was closer to the clinical reality and was sensitive to variations in the geometry of the wire-bracket relationship; and (F) the 10 cycles for lingual were similar in 70% of cases and the 10 cycles for buccal desalignment were different in 57% of cases. Conclusions: The three-bracket bending test is different from the resistance to sliding test; the variation of geometric configurations and wire and bracket brands may influence the values of the quantities and the coefficient of kinetic friction; the 10 cycles for lingual were more similar to each other than the 10 cycles for buccal.

Les engrenages roues et vis sans fin sont une solution avantageuse pour transmettre le couple entre des axes perpendiculaires non concourants. Ces engrenages offrent une solution simple et efficace en terme de coût dans les applications de transmission de puissance, où un grand rapport de réduction est nécessaire, en comparaison avec les engrenages classiques à axes parallèles qui nécessitent normalement deux ou trois étapes pour obtenir les mêmes réductions avec une augmentation conséquente de complexité et du nombre de pièces. L’usure de surface est un des modes de défaillance observés dans la vie des engrenages roues et vis sans fin qui influe sur la portée de contact, les caractéristiques de transmission et le bruit résultant. La première étape de ces travaux est la mise au point d’un modèle numérique pour étudier le comportement quasi statique des engrenages roues et vis sans fin avec une roue en bronze et une vis en acier. Le modèle est basé sur la résolution des équations de compatibilité des déplacements ainsi que sur la méthode des coefficients d’influence. Les effets globaux de flexion et les effets locaux de contact ont été séparés. Les effets de contact ont été obtenus par la théorie de Boussinesq. Les coefficients de flexion sont estimés par la combinaison d’un calcul Éléments Finis et des fonctions d’interpolation, permettant d’une part de prendre en compte l’environnement de l'engrenage (la géométrie des arbres, des jantes et des voiles, l’emplacement des roulements,...) et d’autre part de réduire significativement les temps de calculs. Dans une seconde étape, une méthodologie est proposée pour modéliser l’usure de la surface de dent de la roue. Le modèle de contact quasi-statique de la répartition des charges est combiné avec un modèle d’usure d’Archard. Ce modèle suppose que la profondeur d’usure est directement proportionnelle à la pression de contact et à la distance de glissement et inversement proportionnelle à la dureté du matériau. Cette loi d’usure est modifiée pour prendre en compte l’influence des conditions de lubrification en utilisant un coefficient d’usure local, dépendant de l’épaisseur du film lubrifiant, rapportée à l’amplitude des rugosités des surfaces. L’enlèvement de matière par l’usure du flanc de la roue influe sur la répartition des pressions et donc les modifications de la géométrie des dents doivent être incluses dans la prédiction de l’usure. Le calcul des pressions de contact est ainsi mis à jour pour tenir compte des changements de géométrie. Enfin, pour valider le modèle développé des comparaisons du modèle avec des résultats expérimentaux issus de la bibliographie ont été effectuées. / Worm gears are one of the technical devices for transmitting torque between spatial crossed axes. They provide a simple and cost effective solution in power transmission applications, where a high reduction ratio is required. Comparable conventional parallel axis gearing would normally require two or three stages to achieve the same reduction, with a consequent increase in complexity and number of parts. Surface wear is one of the failure modes observed in life worm gear sets which affects the contact patterns, the other transmission characteristics and the resultant noise. The first step of this work is the development of a numerical model to study provide the quasi-static behavior of worm gears with bronze wheel and steel worm. The model is based on solving of the equation of displacement compatibility and the influence coefficient method. The global effects of bending and local effects of contact are separated. The contact effects are obtained with the theory of Boussinesq. Bending effects are estimated by the combination of one standard FEM computation and interpolation functions. These methods allow, on the one hand, to take into account the environment of the gear (shaft shape, rim, web, bearing location ...) and on the other to reduce significantly the computation time. In a second step, a methodology is proposed for predicting the wear of the wheel tooth surface. In this process, a quasi-static contact model of the load distribution is combined with Archard's wear model. This model assumes that the wear depth is directly proportional to the contact pressure and sliding distance and inversely proportional to the hardness of the material. The wear law is modified to take into account the influence of the lubrication conditions using a local wear coefficient, depending on the lubricant film thickness, relative to the amplitude of surface roughness. Removal of material by wear on the wheel flank affects the pressure distribution, therefore the changes in teeth must be included in the prediction of wear. The calculation of contact pressures must also be updated to take into account the modification of the gear flank geometry. The last step concerns the validation of the numerical. Comparisons have been carried out between the model results and experimental ones issued from the bibliography.

Im Rahmen der Arbeit wurde ein semi-analytisches Berechnungsmodell für den Reibwert einzelner kugelförmiger Erhebungen erarbeitet, das die Berechnung der deformativen (μ_def) und adhäsiven (μ_adh) Reibanteile ermöglicht. Die Integration eines plastischen (Radius der Laufspur R_Spur) und eines viskosen (Rückstellwinkel ω) Verformungsanteils gestattet die Berechnung der realen Kontaktfläche während des Reibvorgangs. In Abhängigkeit des mittleren Kontaktdrucks kann damit der adhäsive Reibanteil μ_adh bestimmt werden. Die experimentelle Untersuchungen umfassten neben ungeschmierten Reibversuchen, die zur Ermittlung des gesamten Reibwertes (μ_ges) dienten, auch mit Silikonöl geschmierte Versuche aus denen sich μ_def ergibt. Anhand der Verifikationsversuche konnte einerseits gezeigt werden, dass beide Schmierungszustände zu gleichen Verformungen führen und andererseits wurde der Nachweis erbracht, dass der im Berechnungsmodell postulierte Zusammenhang zwischen dem Rückstellwinkel ω und μ_def Gültigkeit besitzt. Hierzu wurden Reibversuche mit segmentierten Kugeln durchgeführt, die eine gezielte Variation des Rückstellwinkels ω erlauben. Für beide untersuchten Reibpaarungen (Stahl | PE-UHMW und POM-C | PE-UHMW) kann abgeleitet werden, dass der deformative Reibanteil μ_def generell von untergeordneter Rolle ist (ca. 1/3 μ_ges) und der Einfluss des adhäsiven Reibanteils μ_adh überwiegt (ca. 2/3 μ_ges). Dabei sinkt μ_adh und folglich auch μ_ges mit zunehmendem Kontaktdruck p_(max,Ebene). Dieser wurde als verallgemeinerte Bezugsgröße eingeführt und beschreibt den maximalen Hertz´schen Kontaktdruck eines äquivalenten Kugel-Ebene-Kontaktes, der sich unter Eingabe des Kugelradius r_Kugel, der Normalkraft und der Verwendung der statischen E-Moduln beider Werkstoffe ergibt. Weiterhin zeigten die Untersuchungen, dass die oszillierende Bewegungsform im Vergleich zur rotierenden Bewegung immer einen erhöhten Reibwert μ_ges auszeichnet. Abschließend wurden noch Reibexperimente zu Mehrfachstrukturen aus POM-C mit je 6 Einzelerhebungen im Kontakt durchgeführt. Auch hier lag eine hohe Übereinstimmung zwischen Experiment und Modell vor. Es konnte gezeigt werden, dass Reibwerte für beide Bewegungsformen auf μ_ges ~ 0,13 gesenkt werden können. Bezogen auf den jeweiligen höchsten Reibwert (μ_(ges,rotierend) ~ 0,24, μ_(ges,oszillierend) ~ 0,34), welcher mit glatten Probekörpern ermittelt wurde, stellt dies eine erhebliche Reduktion dar. / In this thesis, a semi-analytical calculation model for the coefficient of friction (COF) of single spherical protrusions which allows the calculation of the deformative (μ_def) and adhesive (μ_adh) friction parts was developed. The integration of a plastic (radius of the running track R_Spur) and a viscous (rear angle ω) component of deformation allows the calculation of the real area of contact during the friction process. Depending on the mean contact pressure, the adhesive friction part μ_adh can be determined. The experimental studies included unlubricated friction tests, which served to determine the total COF (μ_ges), as well as tests being lubricated with silicone oil, from which μ_def is obtained. Based on the verification tests, it could be shown that both states of lubrication result in the same deformation and that the relationship between the rear angle ω and μ_def postulated in the calculation model is valid. Therefore, friction tests were carried out with segmented spheres, which allow a specific variation of the rear angle ω. For both friction pairings investigated (steel | PE-UHMW and POM-C | PE-UHMW), it can be concluded that the deformative friction part μ_def is generally of minor significance (approx. 1/3 μ_ges) and the influence of the adhesive friction part μ_adh predominates (approx. 2/3 μ_ges). Thereby μ_adh and consequently also μ_ges decreases with increasing contact pressure p_(max,Ebene). The latter was introduced as a generalised reference value and describes the maximum Hertzian contact pressure of an equivalent sphere-plane contact, which is obtained by entering the radius of the sphere r_Kugel, the normal force and using the static E-moduli of both materials. Furthermore, the investigations revealed that the oscillating form of motion always has an increased COF μ_ges compared to the rotating motion. Finally, friction experiments on multiple structures made of POM-C were carried out, each with 6 individual protrusions in contact. Also here, there was good agreement between the experiment and the model. It could be demonstrated that COF for both forms of motion can be reduced to μ_ges ~ 0.13. In comparison to the highest COF (μ_(ges,rotating) ~ 0.24, μ_(ges,oscillating) ~ 0.34), which were obtained with flat specimens, this is a significant reduction.

This diploma thesis deals with pressure losses in heating systems. The diploma thesis is divided into three sections. The first part is theoretical and deals with the occurrence of pressure losses. It discusses the properties of the fluid that affect pressure losses. It also deals with hydrodynamic phenomena, flow distribution, pressure loss distribution and its calculations. The aim of the second part, which is practical, was to create a heating project for a selected object. The object is a two-floor kindergarten building located in Velké Němčice. For this project, two heating variants were created. For the first variant, radiators and heating benches were designed and for the second variant, underfloor heating was installed in the building. The goal was to use a source which will gain heat mainly from renewable sources, so the air / water heat pump was chosen as the source of heat production. The project ends with a technical report. The third part of the thesis is dedicated to an experiment which purpose was to find out how the pressure losses of the connecting pieces are reacting to the change with the change of the heating water conditions (flow, temperature). Alongside, two pipes were created which differed in the type of connecting pieces so it allowed to compare how their pressure losses differ. Both pipes were connected by radial pressing, but the fittings differed in the quality of the brass, and therefore in the construction. Also, part of the experimental section of the diploma thesis is a description of the course of radial pressing of fittings from the Herz company.