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EN
To calculate the transmission coefficient of ultrasonic waves through a multi-layered medium, a new approach is proposed by expanding it into Debye’s series. Using this formalism, the transmission coefficient can be put in the form of resonance terms series. From this point of view, the relative amplitude of the transmitted wave can be considered as an infinite summation of terms taking into account all possible reflections and refractions on each interface. Our model is then used to investigate interaction between the ultrasonic plane wave and the N-plane-layer structure. Obviously, the resulting infinite summation has to be reduced to a finite one, according to some level of accuracy. The numerical estimation of the transmission coefficient using the exact expression (Eq. (1)) is then compared to the one of our method in the case of two or three plane-layer structure. The effect of the order of the finite summation on the calculated value of the transmission coefficient is, as well, studied. Finally, our proposed method may be used, with the decomposition into Gaussian beams of a pressure field created by a circular source, to draw a 3D image of the pressure field transmitted through a multilayered structure.
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EN
A new type of microstrip antenna is proposed using a voltage-controlled ferroelectric thin tape in the multilayered structure. This paper presents the ferroelectric thin tape, its theoretical analysis and design. The results indicate that this concept has many advantages, is very practical and promising. It gives possibilities of several applications, e.g. in smart antennas.
EN
Lithuanian Pleistocene tills have a multilayered strucure, as established using borehole log data and various analytical methods. Locally it can be observed visually. The structure of the oldest Middle Pleistocene Dzńkija (Elster 1) and Dainava (Elster 2) tills was in vestigated in their areal stratotype in South Lithuania. Logs of three boreholes were chosen for detailed analysis. Their triangular distribution enables evaluation of the variation of till material in N to S and NW to SE di rec tions. Grain-size analysis was performed for tills from all three boreholes and the index of relative entropy of grain-size was calculated. The composition of the Dzńkija and Dainava tills succession indicators advances referable to at least two glaciations and their stages. The Dzńkija tills were formed by glaciers ad vancing from the north across Devonian strata. The Dainava till were left by glaciers advancing from NW across Lower Palaeozoic and Mesozoic rocks. The macroscopically homogeneous upperlayers of the Dzńkija till and the upper and lower layers of the Dainava till have a rhythmic multi layered structure revealed by log and grain-size data. The sedimentological na ture of this rhythmicity is partly shown by variation analysis of the relative entropy of grain-size composition in vertical succession. The index of relative entropy, reflect ing the de gree of mixing, allowed the destination of four zones of entropy (better mixing) in the vertical succession. These zones some times correlate well between widely separated sections. Their presence may be explained by a repeated in put of till material into the basal part of the glacier during its activation (stage, phase).
EN
The paper analyses the largest Polish mediaeval apocrypha, Rozmyślanie przemyskie. Using this example, the author shows the difficulty of formulating general judgments about mediaeval texts with a multilayered structure. The differences between the subsequent versions of the text prove to be rather large in the case of Rozmyślanie przemyskie. For this reason, even the assignment of the monument’s language to a specific dialectal base may apply to no more than a single layer of the text and, as a result, Red Ruthenian features may be found to co-appear with Lesser Polish ones. The author proposes that Rozmyślanie przemyskie displays both the vestiges of the original structure of the text, and traits of a new structure introduced by the last copyist. It is him who gave a title to the text, divided it in two, and added a considerable part of section titles. Therefore, we need to revise our current view that the last copyist was responsible for no more than the introduction of multiple mistakes into the text, and for incorporating into it the voice that was originally located in the margins and between the lines.
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Content available remote Tekst staropolski jako odmienny obiekt badań? W poszukiwaniu narzędzi opisu
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EN
The author provides an answer to the question why Old Polish texts, especially mediaeval ones, constitute a separate subject of study. Primarily, he draws attention to the kinds of problems connected with the reading of those texts (e.g. identification of functional expressions), and with the various manifestations of multilayeredness. How to study such texts? The author suggests that the existing palette of methods be complemented with selected tools developed by modern textology, which so far have only sporadically been employed in the research of the oldest Polish texts. Meanwhile, their use makes possible a precise description and analysis, taking into account the multilayeredness and the traces of the work of many scribes, sometimes so large that they modify the arrengement of intentions and functions of the text. The author uses the example of Rozmyślanie przemyskie and other texts to show the complexity of such problems as the address of the text, its cohesion, continuity, and comprehensiveness – qualities that are only revealed when appropriate assumptions are made and adequate descriptive tools used.
PL
Praca stanowi przegląd podstawowych hipotez „linii łamanej", które znalazły zastosowanie w teoretycznej analizie płyt i powłok kompozytowych. Spośród wielu znanych w literaturze teorii w artykule omówiono jedynie te o charakterze pierwotnym. Zaprezentowano trzy główne hipotezy: Lekhnitskiego, Ambartsumiana oraz Reissnera. Dokonano krótkiej charakterystyki i wstępnie porównanano wymieni oni one teorie. Omówione zostafy związane z hipotezami linii łamanej warunki ciągłości funkcji odkształceń (Zig-Zag) i naprężeń ścinających (interlaminar continuity).
EN
The purpose of this paper is to present basic knowlegde about fundamental "broken-line" hypothesis that deal with multilaycred composite structures. Three main theories were described: Lekhnitskii's, Ambartsumian's and Reissner's. Only Murakami's contribution to Reissner's theory was presented. Comparing the theories was of strictly theoretical meaning and none of the numerical calculations were performed. The proper numerical computation will be provided in further works.
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Content available remote The game in decrypting geometry which hides the history of place
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EN
The city is a multilayered structure composed from multiple pieces, each of which has been subjected to the individual influence of history and changes of time. The city is a game board where architects play at refilling empty fragments. The rules of the game allow geometric deformations of space, in order to establish the context of the concealed history of the place. The goal of the game is to bring what is most valuable and precious from the existing urban structure, or build a new value that will last the test of time.
PL
Miasto to wielowarstwowa struktura, złożona z wielu fragmentów, z których każdy ulegał indywidualnym wpływom historii i przemianom w czasie. Miasto to plansza do gry, na której architekci bawią się w uzupełnianie pustych fragmentów. Reguły gry pozwalają na geometryczne deformacje przestrzeni, w celu nawiązania kontekstu do skrywanej historii miejsca. A celem gry jest wydobycie z istniejącej tkanki urbanistycznej tego, co wartościowe i cenne, lub zbudowanie nowej wartości, która przetrwa próbę czasu.
PL
Zaprezentowane w artykule analizy przynoszą dowód na obecną już w nauce tezę, że znaczna część tytułów w „Rozmyślaniu przemyskim" pojawiła się w tym tekście w drodze jego kolejnych przekształceń i uzupełnień. Autorzy wskazali oprócz licznych argumentów lingwistycznych także zbiór poszlak innej natury: źródłoznawczych i tekstologicznych. Inkorporacja tytułów do tekstu „Rozmyślania przemyskiego" była zjawiskiem w tym tekście powszechnym, najczęściej polegała na wciągnięciu do tekstu notatek marginalnych, wpisanych tam zapewne po to, by łatwiej przeszukiwać ten ogromny tekst. Geneza części z nich polegała na wybraniu z tekstu reprezentacyjnego dla treści fragmentu i umieszczeniu go w postaci niezmienionej lub jego parafrazy na marginesie, skąd po kolejnych przekształceniach trafiał on z powrotem do tekstu. Artykuł uświadamia, jak specyficznym i odrębnym obiektem badań jest tekst staropolski, zwłaszcza wielowarstwowy. Tytuły w nim nie są funkcjonującym samodzielnie komunikatem pozostającym w wyłącznie symbolicznym związku z tekstem, nie muszą pochodzić od autora, mogą tekst dezintegrować, mogą też pozostawać z nim w związku nie tylko treściowym, ale i składniowym. Autorzy pokazują, że tylko łączne stosowanie narzędzi z wielu dziedzin (językoznawstwa, źródłoznawstwa, tekstologii, teologii) może przybliżać nas do coraz precyzyjniejszego opisu procesu twórczego, którego końcowym efektem jest taki tekst.
EN
Analyses presented in the article prove the thesis, already present in science, that a significant part of titles in The Przemysl Meditation appeared in the text through its successive transformations and additions. The authors found, besides numerous linguistic arguments, also a lot of evidence of a different nature: source studies and textology. The incorporation of titles into The Przemysl Meditation was a common phenomenon in the text, the most common one was merging marginal notes into the text, left there presumably in order to make searching this huge text easier. The genesis of some of them was selecting a fragment from the text, representative of the content, and placing it unchanged or paraphrased on the margin from where, after successive transformations, it got back to text. The article brings to our attention the fact that an Old Polish text is a peculiar and distinct object of study, especially a multilayered one. Titles in such texts are not an independently functioning message in exclusively symbolic connection with the text, they do not have to come from the author, they may disintegrate the text or may remain with it in a relationship not only of content but also of syntax. The authors demonstrate that only the combined use of tools from many disciplines (linguistics, source studies, textology, theology) can bring us closer to getting a more precise description of the creative process which eventually results in the text.
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