33380 research outputs found

    Approximate Calculation of the Generalized Erdélyi-Kober Operator Using a Cubic Spline

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    This article investigates the problem of approximating the generalized Erdélyi-Kober fractional operator (often referred to as the Lowndes operator) using cubic splines. A method based on cubic spline interpolation is proposed for approximating the operator on a non-uniform grid. The convergence rate of the proposed method is proven, and its stability is analyzed. Error bounds are established for functions in the class C4[0; b], providing a mathematical justification for the accuracy of the approximation. The efficiency of the method is validated through practical examples using test functions such as f (x)= x4.7and f (x)= cos x, with results presented in graphical and numerical forms. This approach ensures high accuracy and flexibility in computing fractional integrals, which is of significant importance for solving fractional models used in physics, engineering, and other sciences. The article also provides an overview of the role of the generalized Erdélyi-Kober operator in modern fractional calculus and its applications.OPEN ACCESS Received: 06/06/2025 Accepted: 08/09/2025 Published: 27/10/202

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    A Picture Fuzzy Decision-Making Framework for COBOT Selection in Digital Supply Chains

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    Driven by digitalization in supply chains, the use of Collaborative Robots (COBOTs) has become increasingly widespread in recent years. They significantly contribute to process efficiency by working in place of, or in collaboration with, humans in a variety of operations, including welding, painting, assembly and disassembly, transportation, packaging, and palletizing. However, when uncertainty and different criteria are taken into account, decision support systems that compare practical robots based on their suitability for specific needs are inadequate. This study presents a comprehensive multi-criteria decision-making (MCDM) framework for prioritizing COBOTs with different features used in digital supply chain processes. Based on in-depth research in the literature and the opinions of experts working in companies that use relevant robots in the industry, the criteria to be evaluated when selecting COBOT types are identified. The importance of these criteria was determined using the Picture Fuzzy Step-wise Weight Assessment Ratio Analysis (PiF-SWARA) method, which effectively captures the uncertainty in experts’ decisionmaking processes. Subsequently, alternative COBOT types were ranked using the Picture Fuzzy Combinative Distance-Based Assessment (PiFCODAS) approach. This case study, which evaluates the PiF-SWARACODAS concept, reveals that according to expert assessments, cost is the most important criterion in COBOT selection, followed by process quality and space utilization. The findings about the selection of types emphasize that high-efficiency articulated robots operating at high speeds under mass production conditions are the primary priority. These robots are followed by humanoid robots. The third most important are power and force-limiting robots. The fourth and fifth types of COBOTs are hand-guided and safety-monitored stop robots. Validation and sensitivity analyses confirmed the robustness of the results. Overall, the proposed framework not only clarifies the key priorities for manufacturing facilities but also provides a validated decision support tool to align digitalization strategies with the most appropriate COBOT investments.OPEN ACCESS Received: 25/08/2025 Accepted: 15/10/2025 Published: 15/12/2025 An extensive literature review was conducted to examine previous research on COBOT applications in the supply chain, to identify evaluation criteria and alternatives for this study, and to highlight the originality of this study. The concept of COBOT was included in books, journals and conference proceedings accessible through the SCOPUS database. However, the literature search with the related keyword found too many studies. Therefore, the scope was further customized to include different types of COBOT models that can be used throughout the supply chain. To make the literature review process more systematic, the PRISMA methodology, which stands for “Preferred Reporting Items for Systematic Reviews and Meta-Analyses (PRISMA)”, was used. The PRISMA approach, designed by Moher et al. [10], has become widely used among academics in recent years. Sources are analyzed and evaluated according to the determined eligibility criteria. Then, appropriate studies are selected. Table 1lists the keywords used to perform a PRISMA method literature review, along with the number of studies found using these Table 1: Literature search with A total of 1179 studies were found in SCOPUS after searching with the were found. The results were duplicated because som

    Multi-Dimensional Mechanical Properties Approach to Analyzing Thin UHPFRC Decks

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    This study evaluates the flexural behavior of an Ultra high performance fiber-reinforced concrete (UHPFRC) slab through experimental and Finite Element Method (FEM) analytical investigations. A full-size U-UHPFRC bridge deck specimen serves as a reference for the research. A nonlinear FEM is put forward to link material characteristics, failure mode, and bearing capacity of U-UHPFRC decks, considering the failure behavior with different impact parameters of reinforcement ratio, thickness and side ratio. The flexural performance calculation formula for UHPFRC slabs was derived using three failure modes. The results indicate that this method can effectively predict the load transfer and distribution patterns of UHPFRC thin slabs, providing a reference range for the reinforcement ratio, thickness and long-short side ratio in UHPFRC one-way or two-way slabs. These research results can optimize the crack resistance and toughness of thin UHPFRC decks, improve durability, and appropriately reduce carbon emissions. It is suitable for bridges or special structures with higher load requirements and provides theoretical support for the full-life operation and development of UHPFRC components.OPEN ACCESS Received: 31/05/2025 Accepted: 10/07/2025 Published: 27/11/202

    Finite Element Modeling and Construction Aspects of Masonry Walls: An Overview

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    Masonry walls are a cornerstone of building construction worldwide, providing both structural and non-structural functions in diverse settings. Yet, masonry’s inherent heterogeneity, arising from variations in units, mortar joints, and interfaces, presents significant challenges in accurately predicting its performance under service and extreme loads. This review focuses on two complementary perspectives: the construction aspects of various masonry wall systems (including infill, unreinforced, cavity, confined, and interlocking mortarless walls) and the finite element modeling techniques employed to capture masonry’s mechanical behavior. The review found that the wall type has a significant impact on overall structural performance and seismic response. Moreover, it is found that micro-modeling approaches (both detailed and simplified) capture localized stress and strain states in the brick–mortar interface but entail higher computational costs. Macro-modeling provides a more practical, homogenized view for large-scale analysis, treating masonry as an anisotropic continuum. Numerous researchers have demonstrated that well-calibrated models can replicate experimental load-displacement behavior in both compressive and out-of-plane (OOP) bending scenarios. In particular, advanced contact formulations have been developed to address the progressive closure of mortarless joints, while plasticitybased models are widely employed to simulate cracking and crushing in conventional masonry under seismic loading. Collectively, these studies underscore that the choice of modeling strategy depends on the level of detail required, available computational resources, and the target performance metrics. By merging robust numerical methods with proven construction practices, researchers and engineers can better predict masonry’s structural response.OPEN ACCESS Received: 10/05/2025 Accepted: 25/06/2025 Published: 14/07/202

    Development of smart technology for monitoring the manufacturing process of composite parts in the aerospace industry

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    In recent years, the aerospace industry has seen significant advancements thanks to the incorporation of composite materials, which enable the design of lighter structures with excellent mechanical properties. However, the manufacturing process of these composites remains difficult to monitor and still lacks proper standardization. This has led to the need for the development of intelligent control technologies that can be implemented to efficiently oversee the production cycle. In this work, a detailed analysis of the various stages involved in the infusion-based manufacturing process of composite parts has been carried out, identifying weaknesses and defects that may arise during production. The technology developed aims to implement a wireless monitoring system using ferromagnetic microwires embedded in structural composite components, with the goal of improving process control and reducing potential errors. Although the knowledge gained from this project is focused on a specific manufacturing process, the results obtained could be extrapolated to other sectors operating under similar conditions. In this way, the quality and added value of the parts produced with this technology are enhanced, ensuring compliance with the stringent demands of the market

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