Symmetries of the free Schrödinger equation in the non-commutative plane

We study all the symmetries of the free Schrödinger equation in the non-commu- tative plane. These symmetry transformations form an infinite-dimensional Weyl algebra that appears naturally from a two-dimensional Heisenberg algebra generated by Galilean boosts and momenta. These infinite high symmetries could be useful for constructing non-relativistic interacting higher spin theories. A finite-dimensional subalgebra is given by the Schröodinger algebra which, besides the Galilei generators, contains also the dilatation and the expansion. We consider the quantization of the symmetry generators in both the reduced and extended phase spaces, and discuss the relation between both approaches.

Fatigue Analysis of Welded Cruciform Joints with Cold Laps

Työssä on tutkittu vetojännityskuormituksen alaisena olevien hitsattujen kuormaa kantamattomien X-liitosten hitsin paikallisen geometrian variaation vaikutusta väsymislujuuteen. Muuttujina olivat reunan pyöristyssäde, kylmäjuoksun suuruus ja kylkikulma. Geometristen muuttujien parametrinen riippuvuussuhde on analysoitu usealla elementtimallilla. Väsymistarkastelu on suoritettu käyttämällä lineaaris-elastista murtumismekaniikkaa (LEFM) tasovenymätilassa ja materiaalina terästä. Särönkasvun suunnan ennustamisessaon käytetty maksimipääjännityskriteeriä sekä jännitysintensiteettikertoimet on määritetty J-integraalilla. Särön ydintymisvaihetta ei ole otettu huomioon. Rakenteen on oletettu olevan hitsatussa tilassa ja jännitysheilahdus on kokonaan tehollinen. Särön kasvunopeuden ennustamiseen on käytetty Paris'n lakia. Väsymislujuustulokset on esitetty karakteristisina väsymisluokkina (FAT) ja sovitettu parametriseksi yhtälöksi. Lopuksi väsymisanalyysin ennustamia tuloksia on verrattu saatavilla oleviin väsytystestituloksiin.

A modified structural stress method for fatigue assessment of welded structures

Fatigue life assessment of weldedstructures is commonly based on the nominal stress method, but more flexible and accurate methods have been introduced. In general, the assessment accuracy is improved as more localized information about the weld is incorporated. The structural hot spot stress method includes the influence of macro geometric effects and structural discontinuities on the design stress but excludes the local features of the weld. In this thesis, the limitations of the structural hot spot stress method are discussed and a modified structural stress method with improved accuracy is developed and verified for selected welded details. The fatigue life of structures in the as-welded state consists mainly of crack growth from pre-existing cracks or defects. Crack growth rate depends on crack geometry and the stress state on the crack face plane. This means that the stress level and shape of the stress distribution in the assumed crack path governs thetotal fatigue life. In many structural details the stress distribution is similar and adequate fatigue life estimates can be obtained just by adjusting the stress level based on a single stress value, i.e., the structural hot spot stress. There are, however, cases for which the structural stress approach is less appropriate because the stress distribution differs significantly from the more common cases. Plate edge attachments and plates on elastic foundations are some examples of structures with this type of stress distribution. The importance of fillet weld size and weld load variation on the stress distribution is another central topic in this thesis. Structural hot spot stress determination is generally based on a procedure that involves extrapolation of plate surface stresses. Other possibilities for determining the structural hot spot stress is to extrapolate stresses through the thickness at the weld toe or to use Dong's method which includes through-thickness extrapolation at some distance from the weld toe. Both of these latter methods are less sensitive to the FE mesh used. Structural stress based on surface extrapolation is sensitive to the extrapolation points selected and to the FE mesh used near these points. Rules for proper meshing, however, are well defined and not difficult to apply. To improve the accuracy of the traditional structural hot spot stress, a multi-linear stress distribution is introduced. The magnitude of the weld toe stress after linearization is dependent on the weld size, weld load and plate thickness. Simple equations have been derived by comparing assessment results based on the local linear stress distribution and LEFM based calculations. The proposed method is called the modified structural stress method (MSHS) since the structural hot spot stress (SHS) value is corrected using information on weld size andweld load. The correction procedure is verified using fatigue test results found in the literature. Also, a test case was conducted comparing the proposed method with other local fatigue assessment methods.

Two-dimensional probabilistic inversion of plane-wave electromagnetic data: Methodology, model constraints and joint inversion with electrical resistivity data

Probabilistic inversion methods based on Markov chain Monte Carlo (MCMC) simulation are well suited to quantify parameter and model uncertainty of nonlinear inverse problems. Yet, application of such methods to CPU-intensive forward models can be a daunting task, particularly if the parameter space is high dimensional. Here, we present a 2-D pixel-based MCMC inversion of plane-wave electromagnetic (EM) data. Using synthetic data, we investigate how model parameter uncertainty depends on model structure constraints using different norms of the likelihood function and the model constraints, and study the added benefits of joint inversion of EM and electrical resistivity tomography (ERT) data. Our results demonstrate that model structure constraints are necessary to stabilize the MCMC inversion results of a highly discretized model. These constraints decrease model parameter uncertainty and facilitate model interpretation. A drawback is that these constraints may lead to posterior distributions that do not fully include the true underlying model, because some of its features exhibit a low sensitivity to the EM data, and hence are difficult to resolve. This problem can be partly mitigated if the plane-wave EM data is augmented with ERT observations. The hierarchical Bayesian inverse formulation introduced and used herein is able to successfully recover the probabilistic properties of the measurement data errors and a model regularization weight. Application of the proposed inversion methodology to field data from an aquifer demonstrates that the posterior mean model realization is very similar to that derived from a deterministic inversion with similar model constraints.

LS 5039: A runaway microquasar ejected from the galactic plane

We have compiled optical and radio astrometric data of the microquasar LS 5039 and derived its proper motion. This, together with the distance and radial velocity of the system, allows us to state that this source is escaping from its own regional standard of rest, with a total systemic velocity of about 150 km/s and a component perpendicular to the galactic plane larger than 100 km/s. This is probably the result of an acceleration obtained during the supernova event that created the compact object in this binary system. We have computed the trajectory of LS 5039 in the past, and searched for OB associations and supernova remnants in its path. In particular, we have studied the possible association between LS 5039 and the supernova remnant G016.8-01.1, which, despite our efforts, remains dubious. We have also discovered and studied an HI cavity in the ISM, which could have been created by the stellar wind of LS 5039 or by the progenitor of the compact object in the system. Finally, in the symmetric supernova explosion scenario, we estimate that at least 17 solar masses were lost in order to produce the high eccentricity observed. Such a mass loss could also explain the observed runaway velocity of the microquasar.

Synthesis of highly focused fields with circular polarization at any transverse plane

We develop a method for generating focused vector beams with circular polarization at any transverse plane. Based on the Richards-Wolf vector model, we derive analytical expressions to describe the propagation of these set of beams near the focal area. Since the polarization and the amplitude of the input beam are not uniform, an interferometric system capable of generating spatially-variant polarized beams has to be used. In particular, this wavefront is manipulated by means of spatial light modulators displaying computer generated holograms and subsequently focused using a high numerical aperture objective lens. Experimental results using a NA=0.85 system are provided: irradiance and Stokes images of the focused field at different planes near the focal plane are presented and compared with those obtained by numerical simulation.

Variable-stiffness composite panels: Defect tolerance under in-plane tensile loading

Automated Fiber Placement is being extensively used in the production of major composite components for the aircraft industry. This technology enables the production of tow-steered panels, which have been proven to greatly improve the structural efficiency of composites by means of in-plane stiffness variation and load redistribution. However, traditional straight-fiber architectures are still preferred. One of the reasons behind this is related to the uncertainties, as a result of process-induced defects, in the mechanical performance of the laminates. This experimental work investigates the effect of the fiber angle discontinuities between different tow courses in a ply on the un-notched and open-hole tensile strength of the laminate. The influence of several manufacturing parameters are studied in detail. The results reveal that 'ply staggering' and '0% gap coverage' is an effective combination in reducing the influence of defects in these laminates

The analgesic efficacy of ultrasound-guided transversus abdominis plane block (TAP Block) in adult patients : a meta-analysis

Introduction : Le bloc transverse de l'abdomen (bloc TAP, Transversus Abdominis Plane) échoguidé consiste en l'injection d'anesthésique local dans la paroi abdominale entre les muscles oblique interne et transverse de l'abdomen sous contrôle échographique. Ceci permet de bloquer l'innervation sensitive de la paroi antérolatérale de l'abdomen afin de soulager la douleur après des interventions chirurgicales. Auparavant, cette procédure reposait sur une technique dite « à l'aveugle » qui utilisait des repères anatomiques de surface. Depuis quelques années, cette technique est effectuée sous guidage échographique ; ainsi, il est possible de visualiser les structures anatomiques, l'aiguille et l'anesthésique local permettant ainsi une injection précise de l'anesthésique local à l'endroit désiré. Les précédentes méta- analyses sur le bloc TAP n'ont inclus qu'un nombre limité d'articles et n'ont pas examiné l'effet analgésique spécifique de la technique échoguidée. L'objectif de cette méta-analyse est donc de définir l'efficacité analgésique propre du bloc TAP échoguidé après des interventions abdominales chez une population adulte. Méthode : Cette méta-analyse a été effectuée selon les recommandations PRISMA. Une recherche a été effectuée dans les bases de donnée MEDLINE, Cochrane Central Register of Controlled Clinical Trials, Excerpta Medica database (EMBASE) et Cumulative Index to Nursing and Allied Health Literature (CINAHL). Le critère de jugement principal est la consommation intraveineuse de morphine cumulée à 6 h postopératoires, analysée selon le type de chirurgie (laparotomie, laparoscopie, césarienne), la technique anesthésique (anesthésie générale, anesthésie spinale avec/ou sans morphine intrathécale), le moment de l'injection (début ou fin de l'intervention), et la présence ou non d'une analgésie multimodale. Les critères de jugement secondaires sont, entre autres, les scores de douleur au repos et à l'effort à 6 h postopératoires (échelle analogique de 0 à 100), la présence ou non de nausées et vomissements postopératoires, la présence ou non de prurit, et le taux de complications de la technique. Résultats : Trente et une études randomisées contrôlées, incluant un total de 1611 adultes ont été incluses. Indépendamment du type de chirurgie, le bloc TAP échoguidé réduit la consommation de morphine à 6 h postopératoires (différence moyenne : 6 mg ; 95%IC : -7, -4 mg ; I =94% ; p<0.00001), sauf si les patients sont au bénéfice d'une anesthésie spinale avec morphine intrathécale. Le degré de réduction de consommation de morphine n'est pas influencé par le moment de l'injection (I2=0% ; p=0.72) ou la présence d'une analgésie multimodale (I2=73% ; p=0.05). Les scores de douleurs au repos et à l'effort à 6h postopératoire sont également réduits (différence moyenne au repos : -10 ; 95%IC : -15, -5 ; I =92% ; p=0.0002; différence moyenne en mouvement : -9 ; 95%IC : -14, -5 ; I2=58% ; p<0. 00001). Aucune différence n'a été retrouvée au niveau des nausées et vomissements postopératoires et du prurit. Deux complications mineures ont été identifiées (1 hématome, 1 réaction anaphylactoïde sur 1028 patients). Conclusions : Le bloc TAP échoguidé procure une analgésie postopératoire mineure et ne présente aucun bénéfice chez les patients ayant reçu de la morphine intrathécale. L'effet analgésique mineure est indépendant du moment de l'injection ou de la présence ou non d'une analgésie multimodale.

Experimental implementation of tightly focused beams with unpolarized transversal component at any plane

The aim of this paper is to provide a formal framework for designing highly focused fields with specific transversal features when the incoming beam is partially polarized. More specifically, we develop a field with a transversal component that remains unpolarized in the focal area. Moreover, its longitudinal component exhibits non-zero values on axis. Special attention is paid to the design of the input beam and the development of the experiment. The implementation of such fields is possible by using an interferometric setup combined with the use of digital holography techniques. Experimental results are compared with those obtained numerically.

Determination of compression behaviour of coating layer

The strength properties of paper coating layer are very important in converting and printing operations. Too great or low strength of the coating can affect several problems in printing. One of the problems caused by the strength of coating is the cracking at the fold. After printing the paper is folded to final form and the pages are stapled together. In folding the paper coating can crack causing aesthetic damage over printed image or in the worst case the centre sheet can fall off in stapling. When folding the paper other side undergoes tensile stresses and the other side compressive stresses. If the difference between these stresses is too high, the coating can crack on the folding. To better predict and prevent cracking at the fold it is good to know the strength properties of coating layer. It has measured earlier the tensile strength of coating layer but not the compressive strength. In this study it was tried to find some way to measure the compressive strength of the coating layer and investigate how different coatings behave in compression. It was used the short span crush test, which is used to measure the in-plane compressive strength of paperboards, to measure the compressive strength of the coating layer. In this method the free span of the specimen is very small which prevent buckling. It was measured the compressive strength of free coating films as well as coated paper. It was also measured the tensile strength and the Bendtsen air permeance of the coating film. The results showed that the shape of pigment has a great effect to the strength of coating. Platy pigment gave much better strength than round or needle-like pigment. On the other hand calcined kaolin, which is also platy but the particles are aggregated, decreased the strength substantially. The difference in the strength can be explained with packing of the particles which is affecting to the porosity and thus to the strength. The platy kaolin packs up much better than others and creates less porous structure. The results also showed that the binder properties have a great effect to the compressive strength of coating layer. The amount of latex and the glass transition temperature, Tg, affect to the strength. As the amount of latex is increasing, the strength of coating is increasing also. Larger amount of latex is binding the pigment particles better together and decreasing the porosity. Compressive strength was increasing when the Tg was increasing because the hard latex gives a stiffer and less elastic film than soft latex.

Calculation of the critical crack size for cold form rectangular hollow section tube (CRHS) under bending load at -40º C temperature

To predict the capacity of the structure or the point which is followed by instability, calculation of the critical crack size is important. Structures usually contain several cracks but not necessarily all of these cracks lead to failure or reach the critical size. So, defining the harmful cracks or the crack size which is the most leading one to failure provides criteria for structure’s capacity at elevated temperature. The scope of this thesis was to calculate fracture parameters like stress intensity factor, the J integral and plastic and ultimate capacity of the structure to estimate critical crack size for this specific structure. Several three dimensional (3D) simulations using finite element method by Ansys program and boundary element method by Frank 3D program were carried out to calculate fracture parameters and results with the aid of laboratory tests (loaddisplacement curve, the J resistance curve and yield or ultimate stress) leaded to extract critical size of the crack. Two types of the fracture which is usually affected by temperature, Elastic and Elasti-Plastic fractures were simulated by performing several linear elastic and nonlinear elastic analyses. Geometry details of the weldment; flank angle and toe radius were also studied independently to estimate the location of crack initiation and simulate stress field in early stages of crack extension in structure. In this work also overview of the structure’s capacity in room temperature (20 ºC) was studied. Comparison of the results in different temperature (20 ºC and -40 ºC) provides a threshold of the structure’s behavior within the defined range.

De Marco Tullio Cicerone, ut politico, non plane imitando

Dedicatio: Carolus Frid. Meinander.

Lujasta rakenneteräksestä tehdyn rakenteen vikasietoisuuden määritys

Tässä työssä tutkittiin Ruukin valmistamista lujista Optim 700 MC Plus sekä Optim 700 QL teräksistä tehtyjen hitsattujen palkkirakenteiden vikasietoisuutta sekä murtumiskäyttäytymistä laboratoriossa suoritettujen täyden mittakaavan kokeiden avulla. Koerakenteet suunniteltiin siten, että rakenteen kylmämuovauksen sekä hitsauksen vaikutukset yhdessä rakenteen geometrian vaikutuksen kanssa heikentävät rakenteen murtumissitkeyttä rakenteeseen tehdyn teräväkärkisen alkusärön tasossa. Suunnitellussa koesarjassa varioidaan testauslämpötilan lisäksi hitsauksen lämmöntuontia sekä koerakenteeseen tehtävän alkusärön kokoa. Tässä työssä tavoitteena oli yleisesti esittää menettely hitsatun säröllisen teräsrakenteen kestävyyden arviointia varten. Optim 700 MC Plus teräksestä tehdyn koerakenteen käyttäytymistä tutkittiin laskennallisesti murtumismekaniikan avulla. Laadittujen FEM - mallien avulla laskettiin rakenteen murtumisparametrien arvot kummallekin tutkittavalle teräkselle. Optim 700 MC Plus materiaalista valmistetuille koerakenteen säröalueen rakennedetaljia vastaavalle koekappaleille suoritettiin murtumissitkeyskokeita. Murtumissitkeyskokeista saatujen tulosten avulla pystyttiin kuvaamaan täyden mittakaavan koerakenteessa olevan särön murtumiskäyttäytymistä mitoitusmenetelmissä. Koerakenteelle laskettiin tässä työssä kriittisen särökoon ja sitä vastaavan kuorman arvot perustuen rakenteen oletettuun hauraaseen, epästabiiliin sitkeään sekä plastiseen murtumiskäyttäytymiseen. Tässä työssä testattiin molemmista tutkittavista materiaaleista valmistetut täyden mittakaavan koerakenteet -40 °C lämpötilassa. Molemmat testatut rakenteet käyttäytyvät mitattujen siirtymätulosten perusteella melko hauraasti. Optim 700 MC Plus materiaalille saatujen laskentatulosten voidaan todeta testatun koekappaleen perusteella soveltuvan hauraasti käyttäytyvän rakenteen mitoitukseen.

Influence of stiffness in bolted connections in wooden plane structure of truss type

Trusses are structural systems commonly used in projects, being employed mainly in roof structures, present in most rural buildings. The design of trusses, as well as other structural systems, requires the determination of displacements, strains and stresses. However, the project is developed from an ideal model of calculation, considering free rotation between the elements of a connection. This paper presents a computer program for the analysis of bidimensional wooden trusses with connections formed with two screws per node. The formulation is based on the flexibility method, taking into account the influence of the effect of semi-rigid connections formed by two screws. An example of a structure is presented and analyzed by the program developed here, highlighting the importance of behavior analysis on semi-rigid connections.