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.

Bus bar aeolian vibration field tests

Large amplitude bus bar aeolian vibration may lead to post insulator damage. Different damping applications are used to decrease the risk of large amplitude aeolian vibration. In this paper the post insulator load caused by the bus bar aeolian vibration and the effect of damping methods are evaluated. The effects of three types of bus bar connectors and three types of primary structures are studied. Two actual damping devices, damping cable and their combinations are studied. The post insulator loads are studied with strain gage based custom made force sensors installed on the both ends of the post insulator and with the displacement sensor installed on the midpoint of the bus bar. The post insulator loads are calculated from the strain values and the damping properties are determined from the displacement history. The bus bar is deflected with a hanging weight. The weight is released and the bus bar is left to free damped vibration. Both actual bus bar vibration dampers RIBE and SBI were very effective against the aeolian vibration. Combining vibration damper with damping cable will increase the damping ratio but it may be unnecessary considering the extra effort. Bus bar connector type or primary structure have no effect on the vertical load. The bending moment at the post insulator with double sided bus bar connector is significantly higher than at the post insulator with single sided bus bar connector. No reliable conclusions about bus bar connector type effect can be done, but the roller bearing type or central bearing type connector may reduce the bending moment. The RHS steel frame as primary structure may increase the bending moment peak values since it is the least rigid primary structure type and it may start to vibrate as a response to the awakening force of the vibrating bus bar.

K-liitoksen epäkeskeisen tuennan aiheuttaman sekundäärisen momentin määritys

Työssä on tutkittu laboratoriokokeen ja elementtimenetelmän avulla eri geometrioiden vaikutusta sekundääriseen momentin syntymiseen K-liitoksella. Kokeen liitos on tehty S700-lujuusluokan Ruukin Optim 700 plus MH nelikulmaisista rakenneputkista (RHS). Elementtimalleissa on käytetty geometrista ja materiaalista epälineaarisuutta ennustamaan liitoksen muodonmuutoskykyä ja laskennallista kestävyyttä. Liitoksen elementtimalleissa muutettavia geometrioita ovat: vapaaväli, uumasauvan ja paarteen välinen kulma, paarteen seinämän paksuus, liitoksen eksentrisyys ja uumasauvan ja paarteen leveyden suhde. Laboratoriokokeen liitoksen vetouumasauvassa vaikuttava sekundäärisen momentin aiheuttama jännitys on noin 25 % vetouumasauvan myötörajasta. Suurin sekundäärinen momentti syntyy, kun vapaaväliä pienennetään ja uumasauvaa kavennetaan paarteeseen nähden. Eurocode 3:n mitoitusohjeita voidaan elementtimallien perusteella soveltaa tietyille geometrioille turvallisesti.

Analytic evaluation of three-phase short circuit demagnetization and hysteresis loss risk in rotor-surface-magnet Permanent-Magnet Synchronous Machines

Permanent magnet synchronous machines (PMSM) have become widely used in applications because of high efficiency compared to synchronous machines with exciting winding or to induction motors. This feature of PMSM is achieved through the using the permanent magnets (PM) as the main excitation source. The magnetic properties of the PM have significant influence on all the PMSM characteristics. Recent observations of the PM material properties when used in rotating machines revealed that in all PMSMs the magnets do not necessarily operate in the second quadrant of the demagnetization curve which makes the magnets prone to hysteresis losses. Moreover, still no good analytical approach has not been derived for the magnetic flux density distribution along the PM during the different short circuits faults. The main task of this thesis is to derive simple analytical tool which can predict magnetic flux density distribution along the rotor-surface mounted PM in two cases: during normal operating mode and in the worst moment of time from the PM’s point of view of the three phase symmetrical short circuit. The surface mounted PMSMs were selected because of their prevalence and relatively simple construction. The proposed model is based on the combination of two theories: the theory of the magnetic circuit and space vector theory. The comparison of the results in case of the normal operating mode obtained from finite element software with the results calculated with the proposed model shows good accuracy of model in the parts of the PM which are most of all prone to hysteresis losses. The comparison of the results for three phase symmetrical short circuit revealed significant inaccuracy of the proposed model compared with results from finite element software. The analysis of the inaccuracy reasons was provided. The impact on the model of the Carter factor theory and assumption that air have permeability of the PM were analyzed. The propositions for the further model development are presented.

Viilujen lujuuslajittelun kehittäminen

Työn lähtökohtana on viilujen lujuuslajittelun kehittäminen. Lujuuslajittelun on tarkoitus perustua viilujen paino- ja tiheyseroihin, joilla on vaikutusta viilujen lujuusominaisuuksiin. Viilujen paino- ja tiheyserojen selvittäminen on tarkoi-tus toteuttaa punnituksen avulla ja siihen kuuluva laitteisto oli jo alustavasti suunniteltu. Teoriaosan avulla tutustuttiin viilujen ja vanerin valmistukseen liittyviin pro-sesseihin, puun tiheyteen ja lujuuteen liittyviin tekijöihin ja eri tekijöiden vaikutuksiin viilujen ja vanereiden lujuusominaisuuksissa. Työn kokeellinen osa voidaan jakaa selkeästi kahteen tutkimusalueeseen. Ensimmäisessä oli tarkoitus selvittää viiluissa esiintyvien paino- ja tiheyserojen vaihteluita ja niiden vaikutuksia viilujen lujuusominaisuuksiin ja sitä kautta myös valmiiden levyrakenteiden ominaisuuksiin. Viilutasolla tutkittiin tiheyden vaikutusta poikittaisveto- ja taivutuslujuuteen ja vaneritasolla tiheyden vaikutusta taivutuslujuu-teen. Raaka-aineina tutkimuksissa ja lujuuskokeissa käytettiin koivu-, kuusi- ja poppeliviiluja. Työn toinen osa keskittyi viilujen punnituksen testaamiseen ja kehittämiseen. Tutkittavien puulajien kohdalla viiluista löytyi huomattavia paino- ja tiheyseroja, joiden vaikutukset näkyivät erityisesti viilujen ja vanerien taivutuslujuuksien arvoissa. Punnituksen tulokset osoittivat, että riittävän tuotekehityksen myötä viilujen punnitukseen perustuva lajittelu olisi mahdollista toteuttaa tutkitun menetelmän avulla. Vanerirakenteissa havaittujen taivutuslujuuserojen perusteella lujuuslajittelulle olisi käyttöä ja siitä olisi hyötyä levyrakenteiden suunnittelussa.

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.

Distortion properties of quasiconformal maps

In this Licentiate thesis we investigate the absolute ratio δ, j, ˜j and hyperbolic ρ metrics and their relations with each other. Various growth estimates are given for quasiconformal mpas both in plane and space. Some Hölder constants were refined with respect δ, j ˜j metrics. Some new results regarding the Hölder continuity of quasiconformal and quasiregular mapping of unit ball with respect to Euclidean and hyperbolic metrics are given, which were obtained by many authors in 1980’s. Applications are given to the study of metric space, quasiconformal and quasiregular maps in the plane and as well as in the space.

Soodakattiloiden ilmakanavien hyödyntäminen jäykistävänä rakenteena

Työssä tutkittiin soodakattiloiden ilmakanavien hyödyntämistä jäykistävänä rakenteena. Työssä käsiteltiin yksittäisiä jäykistämättömiä ja jäykistettyjä levykenttiä ja niiden lommahduskestävyyttä Eurokoodi standardin mukaisesti ja elementtimenetelmän avulla. Lisäksi käsiteltiin lommahduksen teoriaa ja levykenttien käyttäytymistä yleisellä tasolla erilaisilla kuormituksilla ja reunaehdoilla. Työn tavoitteena oli selvittää kuinka lommahdus tutkitaan Eurokoodin mukaisesti ja elementtimenetelmää hyödyntäen, kun levykentän kuormituksena on poikittainen kuormitus tason suuntaisen kuormituksen lisäksi. Työssä tutkittiin kahden eri elementtimenetelmään pohjautuvan ratkaisuvaihtoehdon käyttöä lommahduslaskennassa. Työssä kehitettiin Eurokoodin sovellettu yhteisvaikutuskaavan käyttö lineaarisen ominaisarvotehtävän ratkaisun lisänä, jossa otetaan huomioon painekuorman vaikutus levykentän lommahduksessa. Kehitettyä menetelmää sovellettiin ilmakanavan esimerkkirakenteen mitoituksessa.

Pienahitsien staattisen kestävyyden mitoitus perinteisesti ja eri reunaehtoihin perustuvilla parannetuilla mitoitusmalleilla

Tässä tutkimuksessa oli tavoitteena tarkastella analyyttisen laskennan keinoin pienahitsin mitoittamista ja selvittää käytännön kokeissa havaittu a-mitasta poikkeavan vauriotason sijainti poikittain kuormitetuissa pienahitseissä. Perinteinen laskentamallin tarkastelu laa-jennettiin koskemaan mielivaltaisessa kulmassa olevaa laskentatasoa ja suurimman yhdistetyn jännityksen perusteella löydettiin kriittisin leikkaus tasakylkisessä hitsissä. Lisäksi tarkasteltiin voimatasapainon huomioon ottamista mitoituksessa ja luotiin kaksi eri mallia tämän pohjalta. Kolme teoreettisesti oikeampaa mitoitusmallia täydennettiin kattamaan myös erikylkiset hitsit ja todettiin, että kaikilla mitoitusmalleilla erikylkiset hitsit ovat tilavuudeltaan optimaalisempia verrattaessa samanlujuisiin tasakylkisiin hitseihin.

Hygro-elasto-plastic behavior of planar orthotropic material

The mechanical and hygroscopic properties of paper and board are factors affecting the whole lifecycle of a product, including paper/board quality, production, converting, and material and energy savings. The progress of shrinkage profiles, loose edges of web, baggy web causing wrinkling and misregistration in printing are examples of factors affecting runnability and end product quality in the drying section and converting processes, where paper or board is treated as a moving web. The structural properties and internal stresses or plastic strain differences built up during production also cause the end-product defects related to distortion of the shape of the product such as sheet or box. The objective of this work was to construct a model capable of capturing the characteristic behavior of hygroscopic orthotropic material under moisture change, during different external in-plane stretch or stress conditions. Two independent experimental models were constructed: the elasto-plastic material model and the hygroexpansivity-shrinkage model. Both describe the structural properties of the sheet with a fiber orientation probability distribution, and both are functions of the dry solids content and fiber orientation anisotropy index. The anisotropy index, introduced in this work, simplifies the procedure of determining the constitutive parameters of the material model and the hygroexpansion coefficients in different in-plane directions of the orthotropic sheet. The mathematically consistent elasto-plastic material model and the dry solids content dependent hygroexpansivity have been constructed over the entire range from wet to dry. The presented elastoplastic and hygroexpansivity-shrinkage models can be used in an analytical approach to estimate the plastic strain and shrinkage in simple one-dimensional cases. For studies of the combined and more complicated effects of hygro-elasto-plastic behavior, both models were implemented in a finite element program for a numerical solution. The finite element approach also offered possibilities for studying different structural variations of orthotropic planar material, as well as local buckling behavior and internal stress situations of the sheet or web generated by local strain differences. A comparison of the simulation examples presented in this work to results published earlier confirms that the hygro-elasto-plastic model provides at least qualitatively reasonable estimates. The application potential of the hygro-elasto-plastic model is versatile, including several phenomena and defects appearing in the drying, converting and end-use conditions of the paper or board webs and products, or in other corresponding complex planar materials.

Moment Operators of Observables in Quantum Mechanics, with Applications to Quantization and Homodyne Detection

The questions studied in this thesis are centered around the moment operators of a quantum observable, the latter being represented by a normalized positive operator measure. The moment operators of an observable are physically relevant, in the sense that these operators give, as averages, the moments of the outcome statistics for the measurement of the observable. The main questions under consideration in this work arise from the fact that, unlike a projection valued observable of the von Neumann formulation, a general positive operator measure cannot be characterized by its first moment operator. The possibility of characterizing certain observables by also involving higher moment operators is investigated and utilized in three different cases: a characterization of projection valued measures among all the observables is given, a quantization scheme for unbounded classical variables using translation covariant phase space operator measures is presented, and, finally, a mathematically rigorous description is obtained for the measurements of rotated quadratures and phase space observables via the high amplitude limit in the balanced homodyne and eight-port homodyne detectors, respectively. In addition, the structure of the covariant phase space operator measures, which is essential for the above quantization, is analyzed in detail in the context of a (not necessarily unimodular) locally compact group as the phase space.

The multicultural moment : the history of the idea and politics of multiculturalism in Sweden in comparative, transnational and biographical context, 1964–1975

The emergence of the idea of multiculturalism in Swedish public discourse and social science in the latter half of the 1960s and introduction of official multiculturalism in 1975 constituted a major intellectual and political shift in the post-war history of Sweden. The ambition of the 1975 immigrant and minority policy to enable the preservation of ethno-cultural minorities and to create a positive attitude towards the new multicultural society among the majority population was also incorporated into Swedish cultural, educational and media policies. The rejection of assimilationism and the new commitment to ethno-cultural diversity, the multicultural moment, has earned Sweden a place on the list of the early adopters of official multiculturalism, together with Canada and Australia. This compilation thesis examines the origins and early post-war history of the idea of multiculturalism as well as the interplay between idea and politics in the shift from a public ideal of homogeneity to an ideal of multiculturalism in Sweden. It does so from a range of conceptual, comparative, transnational, and biographical perspectives. The thesis consists of an introduction (Part I) and four previously published studies (Part II). The primary research result of the thesis concerns the agency involved in the break-through and formal establishment of the idea of multiculturalism in Sweden. Actors such as ethnic activists, experts and officials were instrumental in the introduction and establishment of multiculturalism in Sweden, as they also had been in Canada and in Australia. These actors have, however, not previously been recognized and analysed as significant idea-makers and political agents in the case of Sweden. The intertwined connections between activists, social scientists, linguists, and officials facilitated the transfer of the idea of multiculturalism from a publically contested idea to public policy via the way of The Swedish Trade Union Confederation, academia and the Royal Commission of Immigration. The thesis furthermore shows that the political success of the idea of multiculturalism, such as it was within the limits of the universalist social democratic welfare state, was dependent on whom the claims-makers were, the status and positions they held, and the way the idea of multiculturalism was conceptualised and used. It was also dependent on the migratory context of labour immigration in the 1960s and 1970s and on whose behalf the advocates of multiculturalism made their claims. The majority of the labour immigrants were Finnish citizens from the former eastern half of the kingdom of Sweden who were net contributors to the Swedish welfare state. This facilitated the recognition of their ethno-cultural difference, and, following the logic of universalism, the ethno-cultural difference of other minority groups in Sweden. The historical significance of the multicultural moment is still evident in the contemporary immigration and integration policies of Sweden. The affirmation of diversity continues to set Sweden apart from the rest of Europe, now more so than in the 1970s, even though the migratory context has changed radically in the last 40 years.

Local Binary Patterns in Focal-Plane Processing. Analysis and Applications

Feature extraction is the part of pattern recognition, where the sensor data is transformed into a more suitable form for the machine to interpret. The purpose of this step is also to reduce the amount of information passed to the next stages of the system, and to preserve the essential information in the view of discriminating the data into different classes. For instance, in the case of image analysis the actual image intensities are vulnerable to various environmental effects, such as lighting changes and the feature extraction can be used as means for detecting features, which are invariant to certain types of illumination changes. Finally, classification tries to make decisions based on the previously transformed data. The main focus of this thesis is on developing new methods for the embedded feature extraction based on local non-parametric image descriptors. Also, feature analysis is carried out for the selected image features. Low-level Local Binary Pattern (LBP) based features are in a main role in the analysis. In the embedded domain, the pattern recognition system must usually meet strict performance constraints, such as high speed, compact size and low power consumption. The characteristics of the final system can be seen as a trade-off between these metrics, which is largely affected by the decisions made during the implementation phase. The implementation alternatives of the LBP based feature extraction are explored in the embedded domain in the context of focal-plane vision processors. In particular, the thesis demonstrates the LBP extraction with MIPA4k massively parallel focal-plane processor IC. Also higher level processing is incorporated to this framework, by means of a framework for implementing a single chip face recognition system. Furthermore, a new method for determining optical flow based on LBPs, designed in particular to the embedded domain is presented. Inspired by some of the principles observed through the feature analysis of the Local Binary Patterns, an extension to the well known non-parametric rank transform is proposed, and its performance is evaluated in face recognition experiments with a standard dataset. Finally, an a priori model where the LBPs are seen as combinations of n-tuples is also presented