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It is well-known that the solution of the fundamental equations of linear elasticity for a homogeneous isotropic material in plane stress and strain state cases can be equivalently reduced to the solution of a biharmonic equation. The discrete version of the Theorem of Goursat is used to describe the solution of the discrete biharmonic equation by the help of two discrete holomorphic functions. In order to obtain a Taylor expansion of discrete holomorphic functions we introduce a basis of discrete polynomials which fulfill the so-called Appell property with respect to the discrete adjoint Cauchy-Riemann operator. All these steps are very important in the field of fracture mechanics, where stress and displacement fields in the neighborhood of singularities caused by cracks and notches have to be calculated with high accuracy. Using the sum representation of holomorphic functions it seems possible to reproduce the order of singularity and to determine important mechanical characteristics.
The increased implementation of site data capture technologies invariably results in an increase in data warehousing and database technologies to store captured data. However, restricted use of data beyond the initial application could potentially result in a loss of understanding of site processes. This could in turn lead to poor decision making at production, tactical and strategic levels. Concrete usage data have been collected from two piling processes. These data have been analysed and the results highlighted potential improvements that could be made to existing site management and estimating processes. A cost benefit analysis has been used to support decision making at the strategic level where the identified improvements require capital expenditure.
The stress state of a piecewise-homogeneous elastic body, which has a semi-infinite crack along the interface, under in-plane and antiplane loads is considered. One of the crack edges is reinforced by a rigid patch plate on a finite interval adjacent to the crack tip. The crack edges are loaded with specified stresses. The body is stretched at infinity by specified stresses. External forces with a given principal vector and moment act on the patch plate. The problem reduces to a Riemann-Hilbert boundary-value matrix problem with a piecewise-constant coefficient for two complex potentials in the plane case and for one in the antiplane case. The complex potentials are found explicitly using a Gaussian hypergeometric function. The stress state of the body close to the ends of the patch plate, one of which is also simultaneously the crack tip, is investigated. Stress intensity factors near the singular points are determined.
This paper is focused on the first numerical tests for coupling between analytical solution and finite element method on the example of one problem of fracture mechanics. The calculations were done according to ideas proposed in [1]. The analytical solutions are constructed by using an orthogonal basis of holomorphic and anti-holomorphic functions. For coupling with finite element method the special elements are constructed by using the trigonometric interpolation theorem.
The preliminary design of a wearable computer for supporting Construction Progress Monitoring
(2000)
Progress monitoring has become more and more important as owners have increasingly demanded shorter times for the delivery of their projects. This trend is even more evident in high technology industries, such as the computer industry and the chemical industry. Fast changing markets, such as the computer industry, force companies to have to build new facilities quickly. To make a statement about construction progress, the status of a building has to be determined and monitored over a period of time. Depicting the construction progress in a diagram over time, statements can be made about the anticipated completion of the project and delays and problems in certain areas. Having this information, measures can be taken to efficiently >catch up< on the schedule of the project. New technologies, such as wearable computers, speech recognition, touch screens and wireless networks could help to move electronic data processing to the construction site. Progress monitoring could very much take advantage of this move, as several intermediate steps of processing progress data can be made unnecessary. The processing of progress data could be entirely done by computers, which means that data for supporting decisions can be made available at the moment the construction progress is measured. This paper describes a project, that investigates how these new technologies can be linked to create a system that enhances the efficiency of progress monitoring. During the project a first prototype of a progress monitoring system was developed that allows construction companies and site supervisors to measure construction progress on site using wearable computers that are speech controlled and connected to a central database via a wireless network.
THE INFLUENCE OF THE LOCAL CONCAVITY ON THE FUNCTIONING OF BEARING SHELL OF HIGH-RISE CONSTRUCTION
(2012)
Areas with various defects and damages, which reduce carrying capacity, were examined in a study of metal chimneys. In this work, the influence of the local dimples on the function of metal chimneys was considered. Modeling tasks were completed in the software packages LIRA and ANSYS. Parameters were identified, which characterize the local dimples, and a numerical study of the influence of local dimples on the stress-strain state of shells of metal chimneys was conducted. A distribution field of circular and meridional tension was analyzed in a researched area. Zones of influence of dimples on the bearing cover of metal chimneys were investigated. The bearing capacities of high-rise structures with various dimple geometries and various cover parameters were determined with respect to specified areas of the trunk. Dependent relationships are represented graphically for the decrease in bearing capacity of a cover with respect to dimples. Diameter and thickness of covers of metal chimneys were constructed according to the resulting data.
This article presents the Rigid Finite Element Method in the calculation of reinforced concrete beam deflection with cracks. Initially, this method was used in the shipbuilding industry. Later, it was adapted in the homogeneous calculations of the bar structures. In this method, rigid mass discs serve as an element model. In the flat layout, three generalized coordinates (two translational and one rotational) correspond to each disc. These discs are connected by elastic ties. The genuine idea is to take into account a discrete crack in the Rigid Finite Element Method. It consists in the suitable reduction of the rigidity in rotational ties located in the spots, where cracks occurred. The susceptibility of this tie results from the flexural deformability of the element and the occurrence of the crack. As part of the numerical analyses, the influence of cracks on the total deflection of beams was determined. Furthermore, the results of the calculations were compared to the results of the experiment. Overestimations of the calculated deflections against the measured deflections were found. The article specifies the size of the overestimation and describes its causes.
In this paper we present rudiments of a higher dimensional analogue of the Szegö kernel method to compute 3D mappings from elementary domains onto the unit sphere. This is a formal construction which provides us with a good substitution of the classical conformal Riemann mapping. We give explicit numerical examples and discuss a comparison of the results with those obtained alternatively by the Bergman kernel method.
In this note, we describe quite explicitly the Howe duality for Hodge systems and connect it with the well-known facts of harmonic analysis and Clifford analysis. In Section 2, we recall briefly the Fisher decomposition and the Howe duality for harmonic analysis. In Section 3, the well-known fact that Clifford analysis is a real refinement of harmonic analysis is illustrated by the Fisher decomposition and the Howe duality for the space of spinor-valued polynomials in the Euclidean space under the so-called L-action. On the other hand, for Clifford algebra valued polynomials, we can consider another action, called in Clifford analysis the H-action. In the last section, we recall the Fisher decomposition for the H-action obtained recently. As in Clifford analysis the prominent role plays the Dirac equation in this case the basic set of equations is formed by the Hodge system. Moreover, analysis of Hodge systems can be viewed even as a refinement of Clifford analysis. In this note, we describe the Howe duality for the H-action. In particular, in Proposition 1, we recognize the Howe dual partner of the orthogonal group O(m) in this case as the Lie superalgebra sl(2 1). Furthermore, Theorem 2 gives the corresponding multiplicity free decomposition with an explicit description of irreducible pieces.
THE HERPICH AFFAIR OF 1924
(2011)
Michele Stavagna is an architect and architectural historian, who lives and works in Berlin, and is the correspondent from Italy for the magazine “der architekt - BDA”. He was educated at the Università IUAV of Venice (Italy), holds a degree in architectural design and a PhD in history of architecture and urban design, and has taught Theory and History of Industrial Design at the Università degli Studi of Triest (Italy). Stavagna translated and edited the first Italian edition of “Die Baukunst der neuesten Zeit” by G. A. Platz. His research themes focus on the birth and affirmation of Modernism within the broader context of the mass public and economic development of the modern society.
The conventional way of describing an image is in terms of its canonical pixel-based representation. Other image description techniques are based on image transformations. Such an image transformation converts a canonical image representation into a representation in which specific properties of an image are described more explicitly. In most transformations, images are locally approximated within a window by a linear combination of a number of a priori selected patterns. The coefficients of such a decomposition then provide the desired image representation. The Hermite transform is an image transformation technique introduced by Martens. It uses overlapping Gaussian windows and projects images locally onto a basis of orthogonal polynomials. As the analysis filters needed for the Hermite transform are derivatives of Gaussians, Hermite analysis is in close agreement with the information analysis carried out by the human visual system. In this paper we construct a new higher dimensional Hermite transform within the framework of Quaternionic Analysis. The building blocks for this construction are the Clifford-Hermite polynomials rewritten in terms of Quaternionic analysis. Furthermore, we compare this newly introduced Hermite transform with the Quaternionic-Hermite Continuous Wavelet transform. The Continuous Wavelet transform is a signal analysis technique suitable for non-stationary, inhomogeneous signals for which Fourier analysis is inadequate. Finally the developed three dimensional filter functions of the Quaternionic-Hermite transform are tested with traditional scalar benchmark signals upon their selectivity at detecting pointwise singularities.
Wissenschaftliches Kolloquium vom 14. bis 16. Oktober 1999 in Weimar an der Bauhaus-Universität zum Thema: ‚global village - Perspektiven der Architektur'
THE FOURIER-BESSEL TRANSFORM
(2010)
In this paper we devise a new multi-dimensional integral transform within the Clifford analysis setting, the so-called Fourier-Bessel transform. It appears that in the two-dimensional case, it coincides with the Clifford-Fourier and cylindrical Fourier transforms introduced earlier. We show that this new integral transform satisfies operational formulae which are similar to those of the classical tensorial Fourier transform. Moreover the L2-basis elements consisting of generalized Clifford-Hermite functions appear to be eigenfunctions of the Fourier-Bessel transform.
Kari Jormakka has been teaching architectural theory at the Bauhaus University in Weimar since 2007. In addition, he has been an Ordinarius Professor of architectural theory at Vienna University of Technology since 1998. Previously, he has taught at the Knowlton School of Architecture at the Ohio State University, the University of Illinois at Chicago, Tampere University of Technology as well as Harvard University. Author of ten books and many papers on architectural history and theory, he studied architecture at Otaniemi University in Helsinki and at Tampere University of Technology, as well as philosophy at Helsinki University.
We briefly review and use the recent comprehensive research on the manifolds of square roots of −1 in real Clifford geometric algebras Cl(p,q) in order to construct the Clifford Fourier transform. Basically in the kernel of the complex Fourier transform the complex imaginary unit j is replaced by a square root of −1 in Cl(p,q). The Clifford Fourier transform (CFT) thus obtained generalizes previously known and applied CFTs, which replaced the complex imaginary unit j only by blades (usually pseudoscalars) squaring to −1. A major advantage of real Clifford algebra CFTs is their completely real geometric interpretation. We study (left and right) linearity of the CFT for constant multivector coefficients in Cl(p,q), translation (x-shift) and modulation (w -shift) properties, and signal dilations. We show an inversion theorem. We establish the CFT of vector differentials, partial derivatives, vector derivatives and spatial moments of the signal. We also derive Plancherel and Parseval identities as well as a general convolution theorem.
For planning in existing built contexts, the building survey is the starting point for initial planning proposals, for the diagnosis and documentation of building damages, for the creation of objectives catalogues, for the detailed design of renovation and conversion measures and for ensuring fulfilment of building legislation, particularly by change of use and refitting. An examination of currently available IT-tools shows insufficient support for planning within existing contexts, most notably a deficit with regard to information capture and administration. This paper discusses the concept for a modular surveying system (basic concept, separation of geometry from semantic data, and separation into sub-systems) and the prototypical realisation of a system for the complete support of the entire building surveying process for existing buildings. The project aims to contribute to the development of a planning system for existing buildings. ...
Wissenschaftliches Kolloquium vom 14. bis 16. Oktober 1999 in Weimar an der Bauhaus-Universität zum Thema: ‚global village - Perspektiven der Architektur'
Tobias Danielmeier teaches design at the Otago Polytechnic as well as at the University of Otago in Dunedin, New Zealand. He holds a Masters of Arts in Architecture from the Münster School of Architecture and is currently completing his PhD at the University of Otago. His research investigates the art, business and science of winery architecture and their interrelation with place and technology. Tobias Danielmeier’s practical experience includes projects for Reichardt Architekten, Essen, and Bolles+Wilson, Münster.
Eine neue, kopflose Gewalt hat den Imperialismus vergangener Zeiten abgelöst. Die neue Weltordnung, das »Empire«, überschreitet alle Grenzen unserer althergebrachten politischen Begriffe – Staat und Gesellschaft, Krieg und Frieden, Kontrolle und Freiheit. Das dezentralisierte und deterritorialisierte Empire beherrscht uns, indem es durch die Medien, die Technik und durch soziale Praktiken unmittelbaren Einfluss auf uns Menschen nimmt.
Architektur und Raumplanung haben sich in den letzten Jahrzehnten radikal gewandelt. Die alten, modernistischen Bestrebungen nach erschwinglichen Wohnungen und einer rationalen Organisation der Städte sind ebenso in den Hintergrund gerückt wie die postmodernen Obsessionen der Kommunikation, der Nutzerbeteiligung und des öffentlichen Raumes. Stattdessen stehen nun ästhetische und entschieden unpolitischere Belange im Vordergrund: Diskussionen zwischen einer kritischen und einer projektiven Praxis, zwischen Blobs und Kisten, zwischen Atmosphäre und Ornament.
Doch das ist noch lange nicht das Ende der Geschichte, wie im vorliegenden Band deutlich wird. Die Beiträge des 11. Bauhaus-Kolloquiums umspannen einen Zeitraum, der von der Gründung des Bauhauses in Weimar bis zur globalen Architektur unserer Zeit reicht, und verfolgen dabei die Entwicklung des Empires zurück, um gleichzeitig nach Konsequenzen und Alternativen zu fragen, denen die Architektur sich heute gegenübergestellt sieht.