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Experimental investigations and finite element analyses of interface heat partition in a friction brake system. New modelling paradigm for describing friction brake systems to support studies of interface temperature, contact pressure, heat flux distribution and heat partition ratio by experiment and FE simulationQui, Le January 2018 (has links)
Operating temperature range is one of the primary design considerations for
developing effective disc brake system performance. Very high braking
temperatures can introduce effects detrimental to performance such as
brake fade, premature wear, brake fluid vaporization, bearing failure, thermal
cracks, and thermally-excited vibration [2].
This project is concerned with investigating deficiencies and proposing
improvements in brake system Finite Element (FE) models in order to
provide high quality descriptions of thermal behaviour during braking events.
The work focuses on brake disc/pad models and the degree of rotational
freedom allowed for the pad. Conventional models [10] allow no motion/or
free motion of the pad. The present work investigates the effect on disc/pad
interface temperature and pressure distributions of limited relaxations of this
rotational restriction. Models are proposed, developed and validated that
facilitate different rotational degrees of freedom (DoF) of the pad.
An important influencing factor in friction brake performance is the
development of an interface tribo-layer (ITL). It is reasonable to assume that
allowing limited rotational motion of the pad will impact the development of
the ITL (e.g. due to different friction force distributions) and hence influence
temperature. Here the ITL is modelled in the numerical simulations as a
function of its thickness distribution and thermal conductivity. Different levels
of ITL thermal conductivity are defined in this work and results show that
conductivity significantly a1qwffects interface temperature and heat partition
ratio.
The work is based around a set of test-rig experiments and FE model
developments and simulations. For the experimental work, a small-scale test
rig is used to investigate the friction induced bending moment effect on the
pad/disc temperature. Significant non-uniform wear is observed across the
friction surface of the pad, and reasons for the different wear rates are
proposed and analyzed together with their effect on surface temperature.
Following on from experiment a suite of models is developed in order to
evidence the importance of limited pad motion and ITL behaviours.
A 2D coupled temperature-displacement FE model is used to quantify the
influence of different pad rotational degrees of freedom and so provide
evidence for proposing realistic pad boundary settings for 3D models.
Normal and high interface thermal conductance is used in 2D models and
results show that the ITL thermal conductivity is an important factor
influencing the maximum temperature of contact surfaces and therefore
brake performance. The interface heat partition ratio is calculated by using
the heat flux results and it is confirmed that this value is neither constant nor
uniform across the interface surfaces.
Key conclusions from the work are (i) that ITL thermal conductivity is an
important factor influencing the interface temperature/heat flux distribution
and their maximum values, (ii) that allowed motion of the pad significantly
affects the interface pressure distribution and subsequently the temperature
distribution, (iii) that the transient heat partition in friction braking is clearly
quite different to the conventional friction-pair steady heat partition (the heat
partition ratio is not uniformly distributed along the interface) and (iv) that the
thickness of the ITL increases through braking events, reducing the heat
transfer to the disc, and so providing a possible explanation for increasing
pad temperature observed over the life time of a brake pad.
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Next generation seismic fragility curves for california bridges incorporating the evolution in seismic design philosophyRamanathan, Karthik Narayan 02 July 2012 (has links)
Quantitative and qualitative assessment of the seismic risk to highway bridges is crucial in pre-earthquake planning, and post-earthquake response of transportation systems. Such assessments provide valuable knowledge about a number of principal effects of earthquakes such as traffic disruption of the overall highway system, impact on the regions' economy and post-earthquake response and recovery, and more recently serve as measures to quantify resilience. Unlike previous work, this study captures unique bridge design attributes specific to California bridge classes along with their evolution over three significant design eras, separated by the historic 1971 San Fernando and 1989 Loma Prieta earthquakes (these events affected changes in bridge seismic design philosophy). This research developed next-generation fragility curves for four multispan concrete bridge classes by synthesizing new knowledge and emerging modeling capabilities, and by closely coordinating new and ongoing national research initiatives with expertise from bridge designers.
A multi-phase framework was developed for generating fragility curves, which provides decision makers with essential tools for emergency response, design, planning, policy support, and maximizing investments in bridge retrofit. This framework encompasses generational changes in bridge design and construction details. Parameterized high-fidelity three-dimensional nonlinear analytical models are developed for the portfolios of bridge classes within different design eras. These models incorporate a wide range of geometric and material uncertainties, and their responses are characterized under seismic loadings. Fragility curves were then developed considering the vulnerability of multiple components and thereby help to quantify the performance of highway bridge networks and to study the impact of seismic design principles on the performance within a bridge class. This not only leads to the development of fragility relations that are unique and better suited for bridges in California, but also leads to the creation of better bridge classes and sub-bins that have more consistent performance characteristics than those currently provided by the National Bridge Inventory. Another important feature of this research is associated with the development of damage state definitions and grouping of bridge components in a way that they have similar consequences in terms of repair and traffic implications following a seismic event. These definitions are in alignment with the California Department of Transportation's design and operational experience, thereby enabling better performance assessment, emergency response, and management in the aftermath of a seismic event. The fragility curves developed as a part of this research will be employed in ShakeCast, a web-based post-earthquake situational awareness application that automatically retrieves earthquake shaking data and generates potential damage assessment notifications for emergency managers and responders. / Errata added at request of advisor and approved by Graduate Office, March 15 2016.
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Application de la réduction du modèle dans les analyses par éléments finis pour l’optimisation du bobinage des machines électriques / Model Reduction Application in Finite Element Analyses for the Optimization of Electric Machine WindingsAl Eit, Moustafa 12 December 2016 (has links)
La machine à réluctance variable peut être utilisée dans les véhicules électriques où pour des considérations d’autonomie, le rendement est crucial. En raison du fort champ de fuite dans la région de l’entrefer de la machine à réluctance variable due à sa géométrie particulière à pôles saillants, les pertes « cuivre » peuvent devenir conséquentes. Il est alors recommandé de ne pas placer les conducteurs au voisinage de l’entrefer. Cependant, des instructions concrètes pour la conception d’un enroulement optimal sont manquantes. Généralement, les pertes « cuivre » dans les machines électriques sont la somme des pertes Ohm DC classiques et des pertes additionnelles dites par courants de Foucault. Les pertes DC étant constantes à un point de fonctionnement donné, l’optimisation est axée alors sur la réduction des pertes par courants de Foucault en jouant sur la configuration géométrique de l’enroulement. Dans le cas de calculs répétitifs fastidieux, rencontrés par exemple lors des processus de conception et d’optimisation du bobinage des machines électriques, il y a un intérêt significatif à réduire le temps de calcul. Dans ce travail, on présente trois techniques de réduction du modèle et leurs applications dans les analyses par la méthode des éléments finis. Outre l’influence de la fréquence d’alimentation et de la section du conducteur, plusieurs facteurs liés à la configuration de l’enroulement influent sur les pertes additionnelles par courants de Foucault :i) la position du conducteur dans l’encoche au voisinage de la dent du stator ou de la zone de l’entrefer .ii) la disposition des conducteurs envers les lignes du champ magnétique bidimensionnelles de l’encoche .iii) l’utilisation d’un conducteur massif ou multi filamentaire; les filaments sont connectés en parallèle et peuvent permuter leurs positions périodiquement au sein du conducteur tout au long du bobinage. Dans cette thèse, on étudie principalement l’influence de la disposition géométrique des spires dans l’encoche et du type du conducteur utilisé s’il s’agit d’un conducteur massif, en fils de Litz ou en fils torsadés. Les pertes par courants de Foucault sont la conséquence d’un couplage fort électrique-magnétique entre la densité du courant et la variation en fonction du temps du champ magnétique. En utilisant le modèle de Maxwell, ce couplage est décrit par une équation différentielle à dérivée partielle qui ne peut être résolue simplement. La résolution de cette équation utilisant l’approche analytique n’est possible que sous certaines hypothèses simplificatrices qui peuvent dégrader la fiabilité de la solution. La modélisation par la méthode des éléments finis permet quant à elle de prendre en compte le mouvement du rotor et la non-linéarité du circuit magnétique garantissant ainsi une meilleure précision. Néanmoins, cela conduit à une large capacité de stockage et à un temps de calcul substantiel qui peut entraver tout processus de conception ou d’optimisation. Pour surmonter ce problème, on propose dans ce manuscrit trois techniques de réduction du modèle. Ces techniques assurent une réduction efficace de la taille du système matriciel associé à la modélisation par la méthode des éléments finis et diminuent par conséquent le temps de calcul : i) une réduction spatiale qui évite une modélisation en 3D des conducteurs complexes en fils torsadés et en fils de Litz et propose une modélisation 2D satisfaisante .ii) la technique de la perturbation. iii) la réduction de l’ordre du modèle utilisant la méthode de la décomposition orthogonale aux valeurs propres combinée à la méthode d’interpolation empirique discrète. La comparaison du modèle réduit à un modèle complet de référence montre l’efficacité de la réduction du modèle à réduire le temps de calcul tout en restant en deçà d’une erreur de précision acceptable. / The switched reluctance machine can be used in hybrid or electric vehicle where, for autonomy considerations, energy efficiency is crucial. Because of the strong stray field in the air-gap region of the switched reluctance machine due to its salient pole geometry, the copper losses can become substantial. It is firmly recommended therefore not to place the coil conductors near the air-gap region. Nevertheless, concrete instructions for optimal winding design are missing. The copper losses in electrical machines are subdivided into classical DC ohmic losses and additional eddy current losses occurring due to the time varying magnetic fields penetrating the copper conductors. Based on the fact that the DC losses are constant at a given operating point, the optimization is focused on reducing the eddy current losses by modifying the winding geometry configuration. In the case of tedious repetitive calculations, met for example during design and optimization processes of electrical machine windings, there is a significant interest in reducing the computation time. This work suggests three model reduction techniques and their applications in the finite element analyses.Besides the frequency of the excitation current and the cross section of the coil conductors, several factors related to the winding configuration can affect the addition al eddy current losses:i) the coil conductor position in the winding slot especially near the stator pole or close to the air gapii) the disposition of the coil conductor against the two-dimensional flux lines in the slot windingiii) the subdivision of the solid conductor into multiple parallel strands swapping their positions periodically in the conductor cross section throughout the length of the machine winding.This thesis mainly studies the influence of the geometric coils disposition in the slot windings and the type of the conductor used whether it is solid or stranded, with Litz or twisted wires.The eddy current losses exit through the strong electro-magnetic coupling between the electric current density and the time dependent magnetic flux lines penetrating the conductors; it is described mathematically by a partial differential equation that cannot be solved easily. The analytical approach, which is used practically for a quick resolution of the strong electro-magnetic coupling equation, is only possible under certain simplifying assumptions that deteriorate brutally the reliability of the copper losses calculation. The finite element modeling as for it, allows taking into account the rotor motion and the non-linear behavior of the magnetic circuit, thus ensuring a higher accuracy. However, it leads under these conditions to a substantial calculation time and requires large storage capacity. These constraints are critical and may hinder therefore any process of conception or optimization. In this thesis, we suggest three different model reduction techniques that can be effective in reducing the size of large scale complete finite element models and enable therefore to shorten the computational time:i) the spatial reduction avoiding the 3D modeling which seems required in the case of twisted and Litz wires and suggesting an alternative satisfactory 2D modeling.ii) the perturbation technique.iii) the model order reduction using the proper orthogonal decomposition combined with the discrete empirical interpolation method.The comparison between the reduced model solutions to that of the complete finite element model has proved the effectiveness of the proposed model reduction techniques; they allow shrinking the required computational time while staying below an acceptable error of accuracy.
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Surface Softness Tuning with Arch-Forming Active Hydrogel ElementsEhrenhofer, Adrian, Wallmersperger, Thomas 07 November 2024 (has links)
Thin active elements can be added to rigid surfaces for the tuning of mechanical contact properties. The deformation of the active structures leads to the forming of arches. Depending on the forming of the arch, the force–displacement curve for contact becomes more or less steep. This can be understood as changing the interaction property between soft and hard. Herein, this concept is presented with hydrogels inside the active elements. Analytical derivations and finite-element simulation results for actuation and contact, based on the stimulus expansion model, are shown. This modeling approach appropriately captures the stimulus-dependent swelling properties of the material and can be easily applied in commercial finite-element tools. Special considerations are taken for the encapsulation of the active materials. A thin encapsulation foil allows 1) the use of swelling agents, such as water, without contaminating the contact objects. Furthermore, 2) appropriate water reservoirs for the swelling process can be included. The simulation results show that a surface softness tuning can be realized. The presented active material and dimensions are exemplary; the concept can be applied to other active materials for tuning surface interactions.
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