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EN
Purpose The objective of the paper is to design and characterise with polylactic acid (PLA) material three cellular structures in the form of lattices which are diagonal-octet-centred shapes for two sizes 6x6x6 and 12x12x12 with a compression test to examine their stiffness using FDM technology compared to polyjet technology. Design/methodology/approach The study used two analytical approaches to investigate lattice structures: experimental analysis and theoretical analysis. Experimental methods such as compression tests were conducted to determine the characteristics of lattice structures. In addition, theoretical analysis was conducted using Hook's law and Ashby's Gibson model to predict appropriate behaviour. The combination of experimental and theoretical methods provided a comprehensive understanding of lattice structures and their properties. Findings The experimental study examined the impact of the shape and size of a lattice structure on the stiffness and lightness of objects 3D printed with FDM technology by PLA material. The research revealed that the 6x6x6 diagonal lattice structure size provided a good balance between stiffness and lightness. While the 6x6x6 byte structure was even lighter, with a mass ratio of 2.09 compared to the diagonal structure, it was less rigid, with a ratio of 0.43, making the diagonal structure more suitable for certain applications. The study highlights the importance of considering both the shape and size of the lattice structure when designing 3D-printed objects with specific mechanical properties; the chosen structure could be a good choice for applications where stiffness and lightness are important. Research limitations/implications The limitations of the research lie in its limited scope, focusing primarily on the effect of shape (octet-diagonal centred) and unit cell size on Young's modulus of PLA material. Other aspects of 3D printing, such as material selection and thermal properties, were not considered. Furthermore, the results obtained are specific to the printing parameters and experimental conditions chosen, which limits their generalizability to other 3D printing configurations or methods. However, these results have important implications for optimising the PLA printing process. They enable the identification of optimal parameters, such as unit cell shape and size, to produce stiffer, higher-quality structures. In addition, the research is helping to improve the mechanical properties of 3D-printed lattice parts, paving the way for more efficient manufacturing methods and stronger components. Practical implications Our analysis can be used as a decision aid for the design of FDM lattice parts. Indeed, we can choose the diagonal structure of 6x6x6, which would provide favourable stiffness for functional parts. Originality/value The paper explores the compression test of lattice structures using FDM technology, which presents a new direction for additive manufacturing. The study takes an experimental approach to evaluate the reliability of various additive manufacturing technologies for creating lattice structures. The study results provide insight into the most reliable technology for producing lattice structures.
EN
Discrete two-dimensional orthogonal wavelet transforms find applications in many areas of analysis and processing of digital images. In a typical scenario the separability of two-dimensional wavelet transforms is assumed and all calculations follow the row-column approach using one-dimensional transforms. For the calculation of one-dimensional transforms the lattice structures, which can be characterized by high computational efficiency and non-redundant parametrization, are often used. In this paper we show that the row-column approach can be excessive in the number of multiplications and rotations. Moreover, we propose the novel approach based on natively two-dimensional base operators which allows for significant reduction in the number of elementary operations, i.e., more than twofold reduction in the number of multiplications and fourfold reduction of rotations. The additional computational costs that arise instead include an increase in the number of additions, and introduction of bit-shift operations. It should be noted, that such operations are significantly less demanding in hardware realizations than multiplications and rotations. The performed experimental analysis proves the practical effectiveness of the proposed approach.
EN
The paper briefly describes two Structural Health Monitoring (SHM) systems applied for damage detection in civil engineering structures: the vision-based system for in-plane measurement of a structure's displacement fields, and vibration-based SHM system with modal filter as a core component. In vision-based system, the deflection curve is obtained as a result of analysis of two images of the construction: the reference one and the one acquired after application of the load. A modal filter is also an excellent indicator of damage detection, with such advantages as low computational effort, ease of automation and low sensitivity to environmental changes. To apply this method in a real SHM system, the measuring diagnostic unit has been designed and built. The system installed on the test stand consisted of a network of a sensors, needed by modal filtration system, placed in selected area of the structure. Additionally a linear transducer for measurement of deformation of the lower beam of the structure under investigation was used. The paper shows the results of their laboratory tests on truss structure. The experimental results obtained by both systems were compared.
PL
Artykuł opisuje dwa systemy monitorujące stan konstrukcji (SHM) wykorzystane do wykrywania uszkodzeń konstrukcji inżynierii lądowej: system wizyjny przeznaczony do dwuwymiarowych pomiarów pól przemieszczeń konstrukcji, oraz system oparty na filtracji modalnej. W systemie wizyjnym krzywa odkształcenia uzyskiwana jest w wyniku analizy dwóch zdjęć obiektu: obrazu odniesienia oraz zdjęcia obiektu obciążonego. Filtr modalny jest doskonałym wskaźnikiem detekcji uszkodzeń. Jego zaletą są niskie wymagania obliczeniowe, łatwość automatyzacji oraz mała wrażliwość na zmiany środowiskowe. Metoda ta została opisana i przetestowana numerycznie przez autorów. Aby zastosować ją w rzeczywistym systemie SHM zaprojektowano specjalny moduł diagnostyczno - pomiarowy. System zainstalowany na stanowisku składał się z grupy czujników wymaganych przez system filtracji modalnej umieszczonych w wybranym obszarze obiektu. Ponadto wykorzystano czujnik LVDT do pomiaru odkształcenia liniowego dolnej belki. Systemy zostały przetestowane na rzeczywistych konstrukcjach. Artykuł przedstawia wyniki testów laboratoryjnych na laboratoryjnej konstrukcji ramowej. Wyniki eksperymentu uzyskane za pomocą obu systemów zostały ze sobą porównane.
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