Search
48 articles for “Mathematical problem”
-
Spectral Intuitionistic Fuzzy Hypergraph Operators and Dominance Kernels for Resilient Discrete Network Design
Abstract: A new discrete-mathematical framework is developed for resilient network design on intuitionistic fuzzy hypergraphs, where uncertainty is explicitly represented through membership, non-membership, and hesitation degrees associated with both vertices and hyperedges. These three components are systematically integrated into an effective incidence operator that captures the underlying uncertain relationships within complex hypergraph structures. Based on this operator, both un-normalised and normalized Laplacian matrices are formulated to characterize the spectral properties and …
Published in Recent Trends in Mathematics · Vol. 3, Issue 2, 2026 · pp. 41–48 Read article
-
Multicriteria Decision Making using SR-Fuzzy Sets
Abstract: In this study, we introduce and explore square-root fuzzy sets (SR-Fuzzy sets), a novel extension within the realm of fuzzy set theory. We begin by establishing a comparative analysis between SR-Fuzzy sets and two well-known fuzzy set models: Intuitionistic Fuzzy Sets (IFS) and Pythagorean Fuzzy Sets (PFS). This comparison highlights the unique characteristics and mathematical structure of SR-Fuzzy sets. A particular focus is placed on the complement operator, which plays …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 12–20 Read article
-
Parameter Identification of Vibrating MIMO Mass-Spring-Damper Mechanical Systems with Coulomb Friction
Abstract: This study presents a time-domain method for identifying parameters in multi-degree-of-freedom (DOF) linear mass-spring-damper systems that include Coulomb friction, where the friction coefficient varies within a limited range, using measurements of position and control force. For mass identification in single-degree-of-freedom (DOF) vibrating mechanical systems with stiffness and no damping but Coulomb friction, the friction term is eliminated by first derivative processing. In addition, the identification of the coefficient of friction …
Published in International Journal of Mechanical Dynamics and Systems Analysis · Vol. 3, Issue 1, 2025 · pp. 20–34 Read article
-
Effectiveness of 3-D Printing Technology in Education and Teaching-Learning
Abstract: Education is the key to releasing the true potential of human ingenuity. The emphasis of education should be on both academic and practical, hands-on techniques. It covers the gap between conceptual understanding and real-world execution. 3-D printing, a new educational technology, claims that it will equip pupils for a more technologically advanced future. By incorporating 3-D printing into education, cutting-edge technology is made accessible to ambitious students and future entrepreneurs. …
Published in Journal of Polymer & Composites · Vol. 13, Issue 6, 2025 · pp. 113–125 Read article
-
Numerical Solution of Ordinary Differential Equation and Solution of Partial Differential Equation
Abstract: This research paper explores the fundamental role of various mathematical concepts in engineering and scientific fields like aerospace engineering, materials science, software development, and the energy sector. We delve into the applications of solving algebraic and transcendental equations, finite difference interpolation, numerical methods, solutions to ordinary differential equations (ODEs), and numerical solutions to partial differential equations (PDEs). By examining their applications in these diverse fields, we illustrate the critical importance …
Published in Journal of Aerospace Engineering & Technology · Vol. 14, Issue 3, 2024 · pp. 12–20 Read article
-
Magnetorheological Composite Dampers for Railway Wagon Suspension: Modelling Validation and Performance Analysis
Abstract: Railway wagons encounter continuous vibrations due to track irregularities, resulting in reduced ride comfort and higher dynamic loads. Conventional suspension systems based on springs, hydraulic dampers, or air suspensions provide only limited vibration mitigation. This work investigates the application of magnetorheological (MR) fluid-based dampers, where a polymeric carrier oil (silicone oil) reinforced with carbonyl iron particles serves as a smart composite suspension medium. The MR fluid is synthesized and characterized …
Published in Journal of Polymer & Composites · Vol. 14, Issue 2, 2026 · pp. 43–63 Read article
-
Fluid-Structure Interaction Simulation of Parachute by Eulerian-Lagrangian penalty method
Abstract: In general, modeling and simulation of a model consisting of fluid and solid combinations has been considered difficult, and it has become impossible in terms of computer dependencies and accuracy to be analyzed by Fluent or other programs. The parachute evaluation process, which is historically based on a large amount of experimental data, necessitates many falling experiments. These tests can be costly and time-consuming, and they don't always allow for …
Published in Recent Trends in Fluid Mechanics · Vol. 11, Issue 2, 2024 · pp. 15–22 Read article
-
Strengthening Low Voltage Ride-Through in Wind Energy Systems: A Comparative Study of DVR and STATCOM
Abstract: This study looks at the various methods used to improve the low-voltage ride-through (LVRT) capabilities of wind turbine systems (WT) that are based on double-fed induction generators (DFIG). The Type-III WT machine, which is mostly based on DFIG, is instantly connected to the grid without the digital power interface, making the terminal voltage or reactive electricity output unmanageable. This is because the world utilizes between 20% and 25% of renewable …
Published in Journal of Power Electronics and Power Systems · Vol. 14, Issue 3, 2024 · pp. 47–62 Read article