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PL
Podczas projektowania obiektów inżynierskich częstą praktyką projektantów jest stosowanie rozwiązań konstrukcyjnych z określonym zapasem bezpieczeństwa, większym niż wymagany normowo. Celem pracy jest określenie czasu i kosztu realizacji przedsięwzięcia budowlanego, obliczonego przy założeniu takich samych wysokości podciągów żelbetowych oraz przy redukcji ich wysokości o 15, 20 i 30%, przy zachowaniu wymaganego normowo zapasu bezpieczeństwa. Ze względu na złożony charakter analizowanego problemu zastosowano szereg nowoczesnych narzędzi Autodesk AutoCAD, Robot Structural Analysis Professional, Norma EXPERT.
EN
When designing engineering structures, it is common practice for designers to use structural solutions with a certain safety margin, greater than required by the standard. The aim of the work is to determine the time and cost of the construction project, calculated with the assumption of the same height of reinforced concrete beams and reduction of their height by 15, 20 and 30%, while maintaining the safety margin required by the standard. Due to the complex nature of the analyzed problem, a number of modern tools Autodesk AutoCAD, Robot Structural Analysis Professional, Norma EXPERT were used.
EN
Unmanned Aerial Vehicle (UAV) swarms are utilized in various missions and operated within an open environment that is prone to disruptions. The resilience of UAV swarms, an important requirement, mainly revolves around ensuring stable and uninterrupted operations. Malicious attacks can implement the adverse impacts of potential threats through swarm communication links. In this context, the SIS (Susceptible → Infected → Susceptible) method is suitable for describing the information transmission within UAV swarms. An enhanced resilience model of the UAV swarm is proposed in this study, which incorporates the factors of self-dynamics, dynamics of topology, dynamics of information transmission, and SIS into the complex network model. Self-dynamics refer to the internal dynamics of the drones. In this paper, dynamics of topology consist of three factors: the varying distance between drones, the incoming degrees of each drone, and the number of communication types between drones. Lastly, dynamics of information transmission are characterized by SIS. The model proposed in this paper has the capability to effectively capture changes in the network topology as well as the dynamics of the system, which are significant contributors to the loss of resilience. And then, the average number of susceptible drones is utilized as the metric to evaluate the resilience of the swarm. Furthermore, an experiment is conducted where a UAV swarm successfully carries out a surveillance mission to demonstrate the advantages of our proposed method. The proposed model not only enables the support of mission planning but also facilitates the design enhancements of UAV swarms.
EN
Topological properties of objects should be maintained and preserved to concisely represent objects. However, the implementation of 2D topological rules requires the decomposition of 3D objects into lower dimensions to determine topological relationships. This results in 2D topological relationships although the connected objects are in 3D. Hence, accurate representation of 3D connectivity in 3D models is limited. 3D topological rules can be implemented to include topological connectivity in 3D space. This paper implemented an extension of the 27-Intersection Model (27-IM) called the 36-Intersection Model (36-IM) to represent 3D topological adjacencies of two objects in 3D space. This resulted in a 12 × 3 intersection matrix or 36-IM that represented the intersections in terms of dimension and number of separations. Six cases were tested, consisting of “meets”, “disjoint” “intersects at a line”, “intersects at a point”, “contains”, and “overlaps”. The resulting 36-IM matrices provided an accurate representation of how the objects in 3D space were related and their dimension of intersections. The formalisms of the 36-IM matrices were also interoperable which allowed the interpretation of 36-IM using the 9IM and DE-9IM to determine general topological relationships. By examining the intersection of interiors, boundaries and exteriors of 3D objects without object decomposition, 3D topological relationships can be determined as well as the dimension and manner of intersection.
4
Content available Przykłady inspiracji topologią w architekturze
PL
Celem artykułu jest przybliżenie podstawowych zagadnień związanych z topologicznym podejściem do projektowania. Artykuł stanowi przegląd wybranych obiektów architektonicznych, które powstały z inspiracji matematyczną topologią. Tłem dla analizy jest krótki opis podstaw topologii oraz wpływ matematyki, komputera i kultury na inspiracje architektów. Trudno jest, bez wyraźnej deklaracji twórcy, jednoznaczne określić czy forma budynku została zaprojektowana z myślą o topologii matematycznej. Coraz więcej architektów wykorzystuje zagadnienia topologii na etapie projektowania budynku. Duży wpływ na podejście do projektowania w ostatnich dziesięcioleciach miał rozwój cyfrowych narzędzi projektowych. Pozwalają one na swobodne i ciągłe zniekształcanie formy projektowanego obiektu.
EN
The aim of the article is to present the basic issues related to the topological approach to design. The article is a review of selected architectural objects inspired by mathematical topology. The background for the analysis is a brief description of the basics of topology and the influence of mathematics, computer and culture on the inspiration of architects. It is difficult, without the explicit declaration of the creator, to unequivocally determine whether the form of a building was designed with the mathematical topology in mind. More and more architects use topology issues at the building design stage. The development of digital design tools has had a large impact on the approach to design in recent decades. They allow for free and continuous deformation of the form of the designed object.
EN
Modern industry requires an increasing level of efficiency in a lightweight design. To achieve these objectives, easy-to-apply numerical tests can help in finding the best method of topological optimization for practical industrial applications. In this paper, several numerical benchmarks are proposed. The numerical benchmarks facilitate qualitative comparison with analytical examples and quantitative comparison with the presented numerical solutions. Moreover, an example of a comparison of two optimization algorithms was performed. That was a commonly used SIMP algorithm and a new version of the CCSA hybrid algorithm of topology optimization. The numerical benchmarks were done for stress constraints and a few material models used in additive manufacturing.
EN
The communication topology is an essential aspect in designing distributed optimization heuristics. It can influence the exploration and exploitation of the search space and thus the optimization performance in terms of solution quality, convergence speed and collaboration costs - relevant aspects for applications operating critical infrastructure in energy systems. In this work, we present an approach for adapting the communication topology during runtime, based on the principles of simulated annealing. We compare the approach to common static topologies regarding the performance of an exemplary distributed optimization heuristic. Finally, we investigate the correlations between fitness landscape properties and defined performance metrics.
7
Content available remote Topology as Faithful Communication Through Relations
EN
We present here a new interpretation of topological concepts based on communication. The context that allows us to see this is that of basic pairs, the most elementary structures that allow to present topology. In particular, we prove that the subsets which can be communicated faithfully between the sides of a basic pair are exactly open subsets and closed subsets. We also prove that a relation between two sets of points can be communicated faithfully if and only if it is continuous or open. Finally we introduce new notions of point and of continuous function which are communicable.
EN
In 1990 Becke and Edgecombe proposed a description of electron localisation in atomic and molecular systems based on the formalism of the second-order reduced density matrices in the form of Electron Localisation Function, ELF. In 1994 Silvi and Savin, of Pierre and Marie Curie University in Paris, presented how to describe local electronic structure of chemical bonds and how to classify them based on topological analysis of ELF, thereby used the methodology developed in 1970s by Bader to study the topology of molecular electron density. In 2003 Popelier formulated a capacious methodology: „Quantum Chemical Topology”, which groups under one umbrella all methods of computational quantum chemistry using concepts such as: attractor, basin of attractor, gradient vector field, gradient path, and in 2010 a conference was held, entitled: „Twenty Years ELF” referring to the 20 year period of reserach using the topological analysis of ELF. The author, since 1994 working – in collaboration with Prof. Silvi – on the application of the topological analysis of ELF for elucidation of electronic structure of molecules and mechanism of chemical reactions, discusses the methodology of research and presents example of the results concerning the nature of chemical bonding in molecular systems.
PL
W opracowaniu podjęto problematykę możliwości wykorzystania koncepcji łańcucha wartości i teorii ograniczeń w kreowaniu wartości dla społeczeństwa. Jednocześnie podkreślono, że łańcuch jest adekwatnym instrumentem sterowania procesem tworzenia wartości społecznej poprzez koszt systemowy. Ponadto zwrócono uwagę na fakt, że dla kreowania wartości istotne znaczenie ma identyfikacja procesów, punktów krytycznych w systemie. Celem artykułu jest ocena inwestycji w łańcuchu wartości.
EN
The paper discusses the possibilities of using the concept of the supply chain and theory of constraints in creating value for society. In this paper, it was highlighted that the supply chain is an adequate instrument to control the process of creating public value by system cost. In addition, it was noted that for creating value it is important to identify process, critical point in the system. The purpose of the article is to evaluate value chain investment.
10
Content available PZL-10 turboshaft engine : system design review
EN
The PZL – 10-turboshaft gas turbine engine is straight derivative of GTD-10 turboshaft design by OKMB (Omsk Engine Design Bureau). Prototype engine first run take place in 1968. Selected engine is interested platform to modify due gas generator layout 6A+R-2, which is modern. For example axial compressor design from successful Klimov designs TB2-117 (10A-2-2) or TB3-117 (12A-2-2) become obsolete in favour to TB7-117B (5A+R-2-2). In comparison to competitive engines: Klimov TB3-117 (1974 – Mi-14/17/24), General Electric T-700 (1970 – UH60/AH64), Turbomeca Makila (1976 – H225M) the PZL-10 engine design is limited by asymmetric power turbine design layout. This layout is common to early turboshaft design such as Soloview D-25V (Mil-6 power plant). Presented article review base engine configuration (6A+R+2+1). Proposed modifications are divided into different variants in terms of design complexity. Simplest variant is limited to increase turbine inlet temperature (TIT) by safe margin. Advanced configuration replace engine layout to 5A+R+2-2 and increase engine compressor pressure ratio to 9.4:1. Upgraded configuration after modification offers increase of generated power by 28% and SFC reduction by 9% – validated by gas turbine performance model. Design proposal corresponds to a major trend of increasing available power for helicopter engines – Mi-8T to Mi-8MT – 46%, H225M – Makila 1A to 1A2 – 9%, Makila 1A2 to Makila 2-25%.
EN
The designing, production and testing of the mDLL machine led to the development of such a structure in which operational cells (e.g. KDLL) were located in the nodes of a three-dimensional torus network and the device was scalable. Thus, the future expansion of this device with additional Printed Circuit Boards (PCB) will not result in lengthened wire connections between Field-Programmable Gate Arrays (FPGA) or slow down the operation of the machine. The conducted tests confirmed the correctness of the adopted design assumptions and showed that by using mDLL one can effectively perform molecular simulations. Despite some structural shortcomings, the mDLL machine was a prototype that has already been sufficiently tested to allow the technology used in it to be used to build a device with a number of 1 million to 5 million KDLL cells. Such a device would already be suitable for simulating multi-particle systems with unprecedented speed.
12
EN
The analysis of system factors determining the efficiency of large-scale objects is performed. Structural description and purposes of large-scale objects constructing are formalized. A three-level decomposition scheme for the problem of objects system optimization including the set of tasks for their system design, planning of development, adaptation and reengineering is proposed. The composition and the scheme of relationship on input and output data of the tasks between main stages of large-scale objects system optimization are determined. Based on the decomposition of the problem, its systemological analysis was carried out. This allowed to develop a technology for system optimization of large-scale objects, taking into account the relationship between the whole set of problem-related tasks.
EN
The paper deals with improvement of efficiency of energy storage devices for electric vehicles. The benefits and features of the hybrid energy storage system based on the batteries and ultracapacitors are described. The possible topologies and common schematics of bi-directional DC/DC converters for energy storage are analyzed in terms of efficiency, reliability and battery maintenance. An algorithm for optimization of its parameters is developed, analyzed, shown and explained in detail. The surfaces, which show the dependence between required battery and ultracapacitors’ capacities, energy storage cost and battery discharge ratio are obtained and analyzed. Conclusions are drawn concerning optimization strategy and results of optimization with possible further improvements.
14
Content available remote Topological Structure of Relation-based Generalized Rough Sets
EN
Rough set theory is an important tool to deal with vagueness and granularity in information systems. Lower and upper approximation operators are two important basic concepts in the rough set theory. The classical Pawlak rough set approximations is based on equivalence relations and has been extended to relation-based generalized rough set approximations. In this paper, properties of relation-based generalized rough set approximations are examined, and topological properties of relation-based generalized rough set approximations presents. Necessary and sufficient conditions for the relation-based generalized upper (lower) approximation operators to be topological closure (interior) operators are proposed.
15
Content available remote Prętowe kopuły geodezyjne – propozycje przekryć dużych powierzchni
PL
W artykule przedstawiono propozycje przekryć dużych powierzchni w postaci zaprojektowanych ośmiu jednowarstwowych kopuł geodezyjnych. Kopuły te ukształtowano na podstawie opracowanych przez Fullera procedur podziału sfery na trójkąty sferyczne. Korzystając z zaproponowanych przez Fullera metod podziału dwudziestościanu foremnego, zaprojektowano osiem zupełnie nowych jednowarstwowych kopuł prętowych, których wyjściowym wielościanem jest ośmiościan foremny. Zaprojektowane kopuły, których każda średnica jest równa 50m, różnią się między sobą stopniem zagęszczenia prętów. Porównano i zaprezentowano podstawowe parametry geometryczne wygenerowanych konstrukcji. Zwymiarowano je, zgodnie z wymaganiami normowymi, dobierając do każdej grupy prętów przekroje poprzeczne z rur okrągłych. Utworzone prętowe kopuły geodezyjne poddano obciążeniom stałym oraz zmiennym, tworząc różne kombinacje obciążeń. Przeprowadzono również szczegółową analizę statyczną. Analizowano i oceniano zależności powstałe między siłami osiowych, przemieszczeniami węzłów oraz naprężeniami normalnymi w prętach a przyjętymi kombinacjami obciążeń. Dla najbardziej niekorzystnych kombinacji obciążeń wyniki zestawiono w tabelach i zilustrowano na rysunkach. Przedstawione w artykule prętowe kopuły geodezyjne mogą stanowić oryginalne przekrycia kopułowe dużych powierzchni. Rozpięte na sferze siatki prętów mogą zapewniać geometryczną niezmienność struktury, charakteryzować się małą wrażliwością na przeskoki węzłów, a także posiadać optymalne własności technologiczno-ekonomiczne, czyli składać się z jak najmniejszej liczby elementów różnych i zużywać mało materiału (np. stali).
EN
The article presents the proposals of the large areas coverings as the designed eight one-layered geodesic domes. The domes were shaped using the elaborated by Fuller procedures of the sphere division into spherical triangles. Using proposed by Fuller methods of the regular icosahedron division, eight completely new one-layered bars’ domes were designed, whose initial polyhedron was the regular octahedron. The developed domes, with the diameter 50m, have different compaction of bars. The basic geometric parameters of generated constructions were compared and presented. They were dimensioned, in accordance with thestandard requirements,choosing for each group of bars the cross sections of round pipes.The designed geodesic bars’ domes were subjected into fixed and variable impacts, creating different combinations of loads. The detailed static analysis was also performed. The dependencies of occurring axial forces, displacements of nodes, as well as normal stresses occurring in the bars of the adopted combinations of loads were analysed and evaluated. The results for the most unfavourable cases of the load combination were tabulated and presented in the figures. The presented in the article geodesic bars’ domes may constitute the original dome coverings of the large areas. The bars’ grids stretched on the sphere may ensure the geometric immutability of the structure, characterize the low sensitivity to nodes jumps, as well as have the optimal technological and economical properties, which consist of a minimum number of different elements and consume little amount of material (eg. steel).
EN
In this paper, we introduce the notations of e-I-open sets and strong B*I -set to obtain a decomposition of continuing via idealization. Additionally, we investigate properties of e-I-open sets and strong B*I -set. Also we studied some more properties of e-I-open sets and obtained several characterizations of e-I-continuous functions and investigate their relationship with other types of functions.
17
Content available remote Spatially Localised Membrane Systems
EN
In this paper we investigate the use of general topological spaces in connection with a generalised variant of membrane systems. We provide an approach which produces a fine grain description of local operations occurring simultaneously in sets of compartments of the system by restricting the interactions between objects. This restriction is given by open sets of a topology and multisets of objects associated with them, which dynamically change during the functioning of the system and which together define a notion of vicinity for the objects taking part in the interactions.
18
Content available remote On Quasi-discrete Fuzzy Closure Spaces
EN
This paper studies quasi-discrete closure spaces and fuzzy closure spaces. We show that any topological closure cT induced by a closure c is the smallest extension from a closure space to a topological closure space in both crisp and fuzzy environment, in addition, a characterization of the continuous mappings in quasi-discrete closure spaces is obtained. We propose the concept of quasi-discrete fuzzy closure spaces in the context of fuzzy sets and establish a one to one correspondence between quasi-discrete fuzzy closure spaces and reflexive fuzzy relations. We also discuss the relationship between topological closure cT and closure c in quasi-discrete fuzzy closure spaces and show that the process from closure c to topological closure cT can be realized via the process from a reflexive fuzzy relation to its transitive closure.
EN
As part of the solution of problem optimization of large-scale facilities carried out formalization of the system description of large-scale monitoring, defined the composition and the relationship subsets of elements, relationships, topologies and properties. Formulated the mathematical model and the task of reengineering topological structures of centralized three-tier system of largescale monitoring based on indices of cost and efficiency. The proposed mathematical model explicitly set relations between costs for the reengineering and time processing messages in the system from its structure and topology. The analysis of the objective function revealed that envelopes their local extrema are one-extreme (relative to the number of nodes in the system). Considering this, proposed a method of directed inspection of local extrema, which allow to find best solutions in terms of the minimum additional cost. Selection of the single solution from a set of effective proposed to carry out the method of hierarchy analysis or cardinalist approach aided by the additive function of general utility. The values of the weighting coefficients of the utility functions is carried out by an expert or based on comparator identification. Practical application these results allows reduce the time of obtaining solutions and more accurate solving of large dimension problem.
20
Content available remote On the beginning of topology in Lwów
EN
We provide one of the first surveys of results in the area of topology by representatives of the Lvov School of mathematics and mathematicians related to the University of Lvov. Viewed together, these results show the importance of this school in the creation of topology.
PL
W artykule dokonamy jednego z pierwszych przeglądów wyników Lwowskiej Szkoły Matematycznej z zakresu topologii w celu ukazania znaczenia tej szkoły w tworzeniu topologii.
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