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.

Elongation behaviour of elastic stitch types in household sewing machines: stretch-stitches versus serger overlock stitces

Lectio praecursoria

Enterprise architecture – the foundation for a strategy

This artcle describes work done with enterprise architecture of the National Digital Library. The National Digital Library is an initiative of the Finnish Ministry of Education and Culture. Its purpose is to promote the availability of the digital information resources of archives, libraries and museums, and to develope the long-term preservation of digital cultural heritage materials. Enterprise architectures are a tool for strategic management and planning. An enterprise architecture also functions as an aid at a more practical level. It shows, for example, what kind of changes and improvements may be made in one system without overlap or conflict with other systems.

Een eenfalligh Kennedoom af nödtorftelighe articklar vthdraghne aff then Helga schrifft / Laurentius Olai Gestricius. (Coll. 762, Aholansaari Foundation's deposition)

Quire structure: 9xIV⁷² + (IV–1)⁷⁹. Text in one column, on (mostly) 26–33 lines, not ruled. Catchwords frequently used at the foot of each page to indicate the next word when a sentence continues on the next page. Not foliated. Gothic Cursive in one saec. XVI² hand. The first initial of the book has been touched with what looks like red pencil. This may be a later addition, as also the green tint to the outer edges of the block. Titles and rubrics distinguished, if at all, through layout only. A note fol. [47]v (see also the main text on fol. [31]v) indicates that the text was copied in 1580. The Anti-Papist poem mentions the Jesuit Antonio Possevino, active in Sweden in 1577–1580 (Kiiskinen ed. 2010, 25, 27). The texts appear to be copies of printed works, with the possible exception of the Anti-Papist poem. The publication of Eric Falck’s Een Tröstbook is known, but apparently no printed copies survive; Laurentius Olai Gestricius’ catechism is otherwise unknown. He was a teacher in Gävle from 1557 or 1558, then curate of Västerås from 1561 and of Stockholm in 1562, where he died in 1565 (Kiiskinen ed. 2010, 15, 349; Collijn ed. 1927–1938, vol. 2, 324).