On the Application of Beam on Elastic Foundation Theory to the Analysis of Stiffened Plate Strips

The main objective of this thesis is to show that plate strips subjected to transverse line loads can be analysed by using the beam on elastic foundation (BEF) approach. It is shown that the elastic behaviour of both the centre line section of a semi infinite plate supported along two edges, and the free edge of a cantilever plate strip can be accurately predicted by calculations based on the two parameter BEF theory. The transverse bending stiffness of the plate strip forms the foundation. The foundation modulus is shown, mathematically and physically, to be the zero order term of the fourth order differential equation governing the behaviour of BEF, whereas the torsion rigidity of the plate acts like pre tension in the second order term. Direct equivalence is obtained for harmonic line loading by comparing the differential equations of Levy's method (a simply supported plate) with the BEF method. By equating the second and zero order terms of the semi infinite BEF model for each harmonic component, two parameters are obtained for a simply supported plate of width B: the characteristic length, 1/ λ, and the normalized sum, n, being the effect of axial loading and stiffening resulting from the torsion stiffness, nlin. This procedure gives the following result for the first mode when a uniaxial stress field was assumed (ν = 0): 1/λ = √2B/π and nlin = 1. For constant line loading, which is the superimposition of harmonic components, slightly differing foundation parameters are obtained when the maximum deflection and bending moment values of the theoretical plate, with v = 0, and BEF analysis solutions are equated: 1 /λ= 1.47B/π and nlin. = 0.59 for a simply supported plate; and 1/λ = 0.99B/π and nlin = 0.25 for a fixed plate. The BEF parameters of the plate strip with a free edge are determined based solely on finite element analysis (FEA) results: 1/λ = 1.29B/π and nlin. = 0.65, where B is the double width of the cantilever plate strip. The stress biaxial, v > 0, is shown not to affect the values of the BEF parameters significantly the result of the geometric nonlinearity caused by in plane, axial and biaxial loading is studied theoretically by comparing the differential equations of Levy's method with the BEF approach. The BEF model is generalised to take into account the elastic rotation stiffness of the longitudinal edges. Finally, formulae are presented that take into account the effect of Poisson's ratio, and geometric non linearity, on bending behaviour resulting from axial and transverse inplane loading. It is also shown that the BEF parameters of the semi infinite model are valid for linear elastic analysis of a plate strip of finite length. The BEF model was verified by applying it to the analysis of bending stresses caused by misalignments in a laboratory test panel. In summary, it can be concluded that the advantages of the BEF theory are that it is a simple tool, and that it is accurate enough for specific stress analysis of semi infinite and finite plate bending problems.

Jatkuvan äänitehojakautuman algoritmi pitkien käytävien äänikenttien mallintamiseen

JÄKÄLA-algoritmi (Jatkuvan Äänitehojakautuman algoritmi Käytävien Äänikenttien LAskentaan) ja sen NUMO- ja APPRO-laskentayhtälöt perustuvat käytävällä olevan todellisen äänilähteen kuvalähteiden symmetriaan. NUMO on algoritmin numeerisen ratkaisun ja APPRO likiarvoratkaisun laskentayhtälö. Algoritmia johdettaessa oletettiin, että absorptiomateriaali oli jakautunut tasaisesti käytävän ääntä heijastaville pinnoille. Suorakaiteen muotoisen käytävän kuvalähdetason muunto jatkuvaksi äänitehojakautumaksi sisältää kolme muokkausvaihetta. Aluksi suorakaiteen kuvalähdetaso muunnetaan neliön muotoiseksi. Seuraavaksi neliön muotoisen kuvalähdetason samanarvoiset kuvalähteet siirretään koordinaattiakselille diskreetiksi kuvalähdejonoksi. Lopuksi kuvalähdejono muunnetaan jatkuvaksi äänitehojakautumaksi, jolloin käytävän vastaanottopisteen äänenpainetaso voidaan laskea integroimalla jatkuvan äänitehojakautuman yli. JÄKÄLA-algoritmin validiteetin toteamiseksi käytettiin testattua kaupallista AKURI-ohjelmaa. AKURI-ohjelma antoi myös hyvän käsityksen siitä, miten NUMO- ja APPRO-yhtälöillä lasketut arvot mahdollisesti eroavat todellisilla käytävillä mitatuista arvoista. JÄKÄLA-algoritmin NUMO- ja APPRO-yhtälöitä testattiin myös vertaamalla niiden antamia tuloksia kolmen erityyppisen käytävän äänenpainetasomittauksiin. Tässä tutkimuksessa on osoitettu, että akustisen kuvateorian pohjalta on mahdollista johtaa laskenta-algoritmi, jota voidaan soveltaa pitkien käytävien äänikenttien pika-arvioinnissa paikan päällä. Sekä teoreettinen laskenta että käytännön äänenpainetasomittaukset todellisilla käytävillä osoittivat, että JÄKÄLA-algoritmin yhtälöiden ennustustarkkuus oli erinomainen ideaalikäytävillä ja hyvä niillä todellisilla käytävillä, joilla ei ollut ääntä heijastavia rakenteita. NUMO- ja APPRO-yhtälöt näyttäisivät toimivan hyvin käytävillä, joiden poikkileikkaus oli lähes neliön muotoinen ja joissa pintojen suurin absorptiokerroin oli korkeintaan kymmenen kertaa pienintä absorptiokerrointa suurempi. NUMO- ja APPRO-yhtälöiden suurin puute on, etteivät ne ota huomioon pintojen erilaisia absorptiokertoimia eivätkä esineistä heijastuvia ääniä. NUMO- ja APPRO- laskentayhtälöt poikkesivat mitatuista arvoista eniten käytävillä, joilla kahden vastakkaisen pinnan absorptiokerroin oli hyvin suuri ja toisen pintaparin hyvin pieni, ja käytävillä, joissa oli massiivisia, ääntä heijastavia pilareita ja palkkeja. JÄKÄLA-algoritmin NUMO- ja APPRO-yhtälöt antoivat tutkituilla käytävillä kuitenkin selvästi tarkempia arvoja kuin Kuttruffin likiarvoyhtälö ja tilastollisen huoneakustiikan perusyhtälö. JÄKÄLA-algoritmin laskentatarkkuutta on testattu vain neljällä todellisella käytävällä. Algoritmin kehittämiseksi tulisi jatkossa käytävän vastakkaisia pintoja ja niiden absorptiokertoimia käsitellä laskennassa pareittain. Algoritmin validiteetin varmistamiseksi on mittauksia tehtävä lisää käytävillä, joiden absorptiomateriaalien jakautumat poikkeavat toisistaan.

Heritability of multiple mating by female field crickets, Gryllus integer (Orthoptera: Gryllidae)

The heritability of multiple mating in female Gryllus integer crickets was studied. Two preliminary experiments were conducted to determine when females first mate following the post-imaginal moult and to ascertain whether constant exposure to males affects female mating rate. Female Q. integer first mated at an average age of 3.6 days (S.D. = 2.3, Range = 0-8 days) . Exposing female crickets to courting males 24 hr daily did not significantly alter mating rates from those females in contact with males for only 5 hr per day. A heritability value of 0.690 ± 0.283 was calculated for multiple mating behavior in female Q. integer using a parent-offspring regression approach. Parental females mated between land 30 times (x 9.8, S . D. = 6. 6 ) and offspring matings ranged from 0 to 26 times (x 7 .3, S.D. = 3.4). Multiple mating is probably a sexually selected trait which functions as a mechanism of female choice and increases reproductive success through increased offspring production. Classical theory suggests that traits intimately related with fitness should exhibit negligible heritable variation. However, this study has shown that multiple mating, a trait closely linked with reproductive fitness, exhibits substantial heritability. These results are in concordance with a growing body of empirical evidence suggesting many fitness traits in natural populations demonstrate heritabilities far removed from zero. Various mechanisms which may maintain heritable variation for female multiple mating in wild, outbred Q. integer populations are discussed.

Mating behaviours of the field cricket (Gryllus integer) at different levels of male density

The reproductive behaviour of the field cricket, Gryllus integer, was systematically observed in indoor arenas to determine the extent of female Choice and male-male competition at different sex ratios representing two male densities (12:6 and 6:6). The costs and benefits to males and females in those two densities were analyzed according to the theory of the evolution o£ leks. Observations were conducted during the dark hours when most calling occurred since hourly rates of courtship song and mating did not fluctuate significantly over a 24 h period. Female mating rates were not significantly different between densities, therefore males at high densities were not advantaged because of increased female tendencies to mate when social stimulation was increased. Mean rates of acoustical signalling (calling and courtin"g) did not differ significantly between densities. Mean rates of fighting by males at the high density were significantly greater than those of males at the low density. Mating benefits associated with callin~courting and fighting were measured. Mating rates did not vary with rates of calling at either density. Calling was not a prerequisite to mating. Courtship song preceded all matings. There was a significant power fit between male mating and courting rates, and male mating and fighting rates at the low, but not at the high, density. Density differences in the benefits associated with increased courting and fighting may relate, in part, to greater economic defensibility and monopoly of females due to reduced male competition at the low density. Dominant males may be preferentially chosen by females or better able to monopolize mating opportunities than subordinate males. Three criteria were used to determine whether dominant males were preferentially chosen by females. The number of matings by males who won fights (within 30 min of mating) was significantly greater than the number of matings by males who were defeated in such fights. Mating rates did not vary significantly with rates of winning at either density. There was a significant power fit between male mating rates and the percentage of fights a male won (irrespective of his fighting-frequency) at the low density. The mean duration a male guarded the female after mating did not vary significantly between densities. There was a significant linear relationship between the duration a spermatophore was retained and the duration a male guarded the female after mating. Courtship song apparently stimulated spermatophore removal. Male guarding involved inter-male aggression and reduced courtship attempts by other males. Males at the high density received no apparent reproductive benefits associated with increased social stimulation. Conclusive evidence for preferential choice of males by females, using the criteria examined here, is lacking. Males at the lower density had fewer competitors and could monopolize females more effectively.

Developing a numerical inverse-theory-based extraction of orientation-dependent relaxation rates from partially- relaxed spectra

Second-rank tensor interactions, such as quadrupolar interactions between the spin- 1 deuterium nuclei and the electric field gradients created by chemical bonds, are affected by rapid random molecular motions that modulate the orientation of the molecule with respect to the external magnetic field. In biological and model membrane systems, where a distribution of dynamically averaged anisotropies (quadrupolar splittings, chemical shift anisotropies, etc.) is present and where, in addition, various parts of the sample may undergo a partial magnetic alignment, the numerical analysis of the resulting Nuclear Magnetic Resonance (NMR) spectra is a mathematically ill-posed problem. However, numerical methods (de-Pakeing, Tikhonov regularization) exist that allow for a simultaneous determination of both the anisotropy and orientational distributions. An additional complication arises when relaxation is taken into account. This work presents a method of obtaining the orientation dependence of the relaxation rates that can be used for the analysis of the molecular motions on a broad range of time scales. An arbitrary set of exponential decay rates is described by a three-term truncated Legendre polynomial expansion in the orientation dependence, as appropriate for a second-rank tensor interaction, and a linear approximation to the individual decay rates is made. Thus a severe numerical instability caused by the presence of noise in the experimental data is avoided. At the same time, enough flexibility in the inversion algorithm is retained to achieve a meaningful mapping from raw experimental data to a set of intermediate, model-free

Camp Niagara Field Site States Forms from July to October 1916

A set of forms which was held together by a string. The title page is brittle and crumbling. Each page is dated and signed either by the Colonel or Lieutenant Colonel A.A.G. [Assistand Adjutant General] Niagara.

On some Density Theorems in Number Theory and Group Theory

Gowers, dans son article sur les matrices quasi-aléatoires, étudie la question, posée par Babai et Sos, de l'existence d'une constante $c>0$ telle que tout groupe fini possède un sous-ensemble sans produit de taille supérieure ou égale a $c|G|$. En prouvant que, pour tout nombre premier $p$ assez grand, le groupe $PSL_2(\mathbb{F}_p)$ (d'ordre noté $n$) ne posséde aucun sous-ensemble sans produit de taille $c n^{8/9}$, il y répond par la négative. Nous allons considérer le probléme dans le cas des groupes compacts finis, et plus particuliérement des groupes profinis $SL_k(\mathbb{Z}_p)$ et $Sp_{2k}(\mathbb{Z}_p)$. La premiére partie de cette thése est dédiée à l'obtention de bornes inférieures et supérieures exponentielles pour la mesure suprémale des ensembles sans produit. La preuve nécessite d'établir préalablement une borne inférieure sur la dimension des représentations non-triviales des groupes finis $SL_k(\mathbb{Z}/(p^n\mathbb{Z}))$ et $Sp_{2k}(\mathbb{Z}/(p^n\mathbb{Z}))$. Notre théoréme prolonge le travail de Landazuri et Seitz, qui considérent le degré minimal des représentations pour les groupes de Chevalley sur les corps finis, tout en offrant une preuve plus simple que la leur. La seconde partie de la thése à trait à la théorie algébrique des nombres. Un polynome monogéne $f$ est un polynome unitaire irréductible à coefficients entiers qui endengre un corps de nombres monogéne. Pour un nombre premier $q$ donné, nous allons montrer, en utilisant le théoréme de densité de Tchebotariov, que la densité des nombres premiers $p$ tels que $t^q -p$ soit monogéne est supérieure ou égale à $(q-1)/q$. Nous allons également démontrer que, quand $q=3$, la densité des nombres premiers $p$ tels que $\mathbb{Q}(\sqrt[3]{p})$ soit non monogéne est supérieure ou égale à $1/9$.

Experiences of participants in the field of food insecurity through the lens of Bourdieu's cultural capital : practical and theoretical explorations

Ce mémoire utilise des données qualitatives provenant d’entretiens semi-structurés pour examiner les ressources qu’utilisent les individus qui font face à l’insécurité alimentaire sous l’angle du capital culturel de Pierre Bourdieu. Les participants étaient choisis parmi les usagers des organismes alternatifs qui œuvrent en sécurité alimentaire à Montréal. Tous étaient en situation d’insécurité alimentaire. Des analyses inductives et déductives étaient exécutées. Seize indicateurs de la forme du capital culturel incorporée, et trois indicateurs de chacune des formes institutionnalisées et objectivées ont été trouvés à être reliés aux stratégies qu’utilisaient les répondants pour améliorer leur situation alimentaire. Cette recherche nous indique que le capital culturel individuel joue un rôle dans les stratégies utilisées, incluant la participation dans les organismes communautaires. De plus, un manque de capital approprié peut servir comme barrière à la participation dans certaines stratégies ce qui pourra avancer des réflexions sur la justesse et l’efficacité des stratégies actuelles.

Knowledge transfer intervention theory : a model grounded in the strategies used by intermediate agents in the context of education

La présente thèse se base sur les principes de la théorisation ancrée (Strauss & Corbin, 1998) afin de répondre au manque de documentation concernant les stratégies adoptées par des « agents intermédiaires » pour promouvoir l’utilisation des connaissances issues de la recherche auprès des intervenants en éducation. Le terme « agent intermédiaire » réfère aux personnes qui sont positionnées à l’interface entre les producteurs et les utilisateurs des connaissances scientifiques et qui encouragent et soutiennent les intervenants scolaires dans l’application des connaissances scientifiques dans leur pratique. L’étude s’inscrit dans le cadre d’un projet du ministère de l’Éducation, du Loisir et du Sport du Québec visant à améliorer la réussite scolaire des élèves du secondaire provenant de milieux défavorisés. Des agents intermédiaires de différents niveaux du système éducatif ayant obtenu le mandat de transférer des connaissances issues de la recherche auprès des intervenants scolaires dans les écoles visées par le projet ont été sollicités pour participer à l’étude. Une stratégie d’échantillonnage de type « boule-de-neige » (Biernacki & Waldorf, 1981; Patton, 1990) a été employée afin d’identifier les personnes reconnues par leurs pairs pour la qualité du soutien offert aux intervenants scolaires quant à l’utilisation de la recherche dans leur pratique. Seize entrevues semi-structurées ont été réalisées. L’analyse des données permet de proposer un modèle d’intervention en transfert de connaissances composé de 32 stratégies d’influence, regroupées en 6 composantes d’intervention, soit : relationnelle, cognitive, politique, facilitatrice, évaluative, de même que de soutien et de suivi continu. Les résultats suggèrent que les stratégies d’ordre relationnelle, cognitive et politique sont interdépendantes et permettent d’établir un climat favorable dans lequel les agents peuvent exercer une plus grande influence sur l’appropriation du processus de l’utilisation des connaissances des intervenants scolaire. Ils montrent en outre que la composante de soutien et de suivi continu est importante pour maintenir les changements quant à l’utilisation de la recherche dans la pratique chez les intervenants scolaires. Les implications théoriques qui découlent du modèle, ainsi que les explications des mécanismes impliqués dans les différentes composantes, sont mises en perspective tant avec la documentation scientifique en transfert de connaissances dans les secteurs de la santé et de l’éducation, qu’avec les travaux provenant de disciplines connexes (notamment la psychologie). Enfin, des pistes d’action pour la pratique sont proposées.

Aggressive incidents inside a Montreal barroom involving patrons, barmaids and bouncers : a micro level examination of routine activity theory

Objectives: This article further examines the phenomenon of aggression inside barrooms by relying on the “bouncer-ethnographer” methodology. The objective is to investigate variations in aggression through time and space according to the role and routine of the target in a Montreal barroom. Thus, it provides an examination of routine activity theory at the micro level: the barroom. Methods: For a period of 258 nights of observation in a Canadian barroom, bouncers completed reports on each intervention and provided specific information regarding what happened, when and where within the venue. In addition, the bouncer-ethnographer compiled field observations and interviews with bar personnel in order to identify aggression hotspots and “rush hours” for three types of actors within barrooms: (a) bouncers, (b) barmaids and (c) patrons. Findings: Three different patterns emerged for shifting hotspots of aggression depending on the target. As the night progresses, aggressive incidents between patrons, towards barmaids and towards bouncers have specific hotspots and rush hours influenced by the specific routine of the target inside the barroom. Implications: The current findings enrich those of previous work by pointing to the relevance of not only examining the environmental characteristics of the barroom, but also the role of the target of aggression. Crime opportunities follow routine activities, even within a specific location on a micro level. Routine activity theory is thus relevant in this context, because as actors in differing roles follow differing routines, as do their patterns of victimization.

Vertically coupled quantum dots in the local spin-density functional theory

We have investigated the structure of double quantum dots vertically coupled at zero magnetic field within local-spin-density functional theory. The dots are identical and have a finite width, and the whole system is axially symmetric. We first discuss the effect of thickness on the addition spectrum of one single dot. Next we describe the structure of coupled dots as a function of the interdot distance for different electron numbers. Addition spectra, Hund's rule, and molecular-type configurations are discussed. It is shown that self-interaction corrections to the density-functional results do not play a very important role in the calculated addition spectra

Diluted three-dimensional random field Ising model at zero temperature with metastable dynamics.

The influence of vacancy concentration on the behavior of the three-dimensional random field Ising model with metastable dynamics is studied. We have focused our analysis on the number of spanning avalanches which allows us a clear determination of the critical line where the hysteresis loops change from continuous to discontinuous. By a detailed finite-size scaling analysis we determine the phase diagram and numerically estimate the critical exponents along the whole critical line. Finally, we discuss the origin of the curvature of the critical line at high vacancy concentration.

Vertically coupled double quantum rings at zero magnetic field

Within local-spin-density functional theory, we have investigated the ¿dissociation¿ of few-electron circular vertical semiconductor double quantum ring artificial molecules at zero magnetic field as a function of interring distance. In a first step, the molecules are constituted by two identical quantum rings. When the rings are quantum mechanically strongly coupled, the electronic states are substantially delocalized, and the addition energy spectra of the artificial molecule resemble those of a single quantum ring in the few-electron limit. When the rings are quantum mechanically weakly coupled, the electronic states in the molecule are substantially localized in one ring or the other, although the rings can be electrostatically coupled. The effect of a slight mismatch introduced in the molecules from nominally identical quantum wells, or from changes in the inner radius of the constituent rings, induces localization by offsetting the energy levels in the quantum rings. This plays a crucial role in the appearance of the addition spectra as a function of coupling strength particularly in the weak coupling limit.