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143 articles for “Geometry”
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Algebraic Geometry and Mathematical Physics: An Interdisciplinary Exploration
Abstract: Algebraic geometry, a branch of mathematics that studies solutions to systems of polynomial equations, has profound implications in mathematical physics. This paper delves into the intersection of algebraic geometry and mathematical physics, exploring how concepts from algebraic geometry illuminate various physical phenomena. We examine applications in string theory, quantum field theory, and positive geometry, highlighting the role of algebraic structures in understanding the fabric of the universe.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 26–29 Read article
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Effect of Span, Load Intensity, and Beam Geometry on Stress and Deflection Behavior of RCC Beams
Abstract: This study investigates the influence of variations in beam geometry, span, load intensity, and permissible stresses on the structural behavior of reinforced concrete beams. Using classical bending and shear stress formulations, the effects of a 20% increase in key parameters were analytically evaluated. Results indicate that a 20% increase in beam span leads to a proportional 20% increase in beam depth, whereas a 20% increase in beam width or permissible …
Published in Journal of Structural Engineering and Management · Vol. 13, Issue 1, 2026 · pp. 9–22 Read article
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Analysis of Proposed Diagrid Geometry Using Golden Ratio in Non-Linear Regime of Material
Abstract: Lateral loads are critical in the design of high-rise structures. The buildings need to have high stiffness and must be able to resist lateral deformations and torsional rotations without having discomfort to the user. Diagrid structural system is one of the systems used in resisting lateral forces. In this study, diagrid geometry is generated using the ‘Golden Ratio’ concept and used to model 40, 50, and 60 story structures. Two …
Published in Journal of Construction Engineering, Technology & Management Read article
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Multiphysics Optimization of Polymer–Metal Hybrid Electrode Geometry in Electrostatic Precipitators for Enhanced Particle Collection Efficiency
Abstract: Electrostatic precipitators (ESPs) remain one of the most effective technologies for controlling fine particulate emissions in industrial exhaust systems. However, their performance is strongly influenced by electrode geometry and material characteristics, which govern electric field distribution, corona stability, and particle migration behaviour. In this study, a comprehensive numerical investigation is carried out to optimize electrode geometry using a multiphysics modelling framework, while introducing a novel polymer–metal hybrid design to enhance …
Published in Journal of Polymer & Composites · Vol. 14, Issue 2, 2026 · pp. 701–716 Read article
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Influence of Center Cut Geometry and Power Law Index on the Free Vibration of Functionally Graded Shells
Abstract: This study explores the influence of power law variations and center cut geometries on the vibrational characteristics of functionally graded material (FGM) shells using finite element analysis (FEA). Stainless steel-alumina oxide (Al2O3) composites serve as the FGM, offering a unique blend of ceramic heat resistance and metallic toughness. Power law functions within APDL tailor material properties across the shell thickness. The research investigates vibrations under various boundary conditions (CCCC, CCFF, …
Published in Journal of Polymer & Composites · Vol. 12, Issue 4, 2024 · pp. 194–209 Read article
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Analysis of Rear Suspension Geometry of an ATV
Abstract: This research presents the design and optimization of a rear suspension system specifically developed for an All-Terrain Vehicle (ATV), with the primary goal of enhancing ride quality, handling, and overall dynamic performance across diverse terrains. A key objective is to improve damping characteristics while minimizing unwanted changes in track width and wheelbase during suspension articulation. The study carefully examines critical suspension parameters, including camber angle, toe angle, and wheel travel, …
Published in Journal of Polymer & Composites · Vol. 13, Issue 5, 2025 · pp. 275–286 Read article
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Topology and Geometry in Data Science: Persistent Homology and Beyond
Abstract: In recent years, the interplay between topology, geometry, and data science has gained substantial momentum, offering powerful frameworks to analyze and interpret complex datasets. Traditional statistical and machine learning methods often rely on linear or metric- based assumptions, which may fail to capture the intrinsic structure of high-dimensional or nonlinear data. In contrast, topological and geometric methods provide shape-oriented, scale- invariant tools that focus on the continuity, connectivity, and global …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 21–27 Read article
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The Effect of Welding Parameter and Tool Geometry on Mechanical Properties of RZ5-10wt%TiC FSW Joint
Abstract: Friction Stir Welding (FSW) of metal matrix composite (MMC) provides the grain refinement and reinforcement redistribution of the composite used for wide application in aerospace and structural. This wide application needs development of best-suited joining process for MMC which is complicated to unite by the traditional welding process. The paper observed the consequence of the welding parameter and tools’ geometry on the mechanical properties of the friction stir butt welded …
Published in Journal of Polymer & Composites · Vol. 14, Issue 4, 2026 Read article
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Structural Analysis of Heavy Vehicle Chassis Using Various Geometries and Materials
Abstract: The present research investigates the significance of the automobile chassis as a crucial section of a vehicle that provides a framework for the body and other parts to rest on. It highlights the need for the chassis to have sufficient bending stiffness for the best handling qualities, as well as enough rigidity to withstand shocks, twists, vibrations, and other loads. The draft and designing model for all the sections (I, …
Published in Journal of Polymer & Composites · Vol. 12, Issue 1, 2024 · pp. 9–33 Read article
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Fracture Analysis of FRP Composites under Thermo-Mechanical Loads for Different Geometry Cutouts
Abstract: Fiber-reinforced composites (FRPs) are used extensively in structural and non-structural components of the aerospace and automotive industries. To utilize these materials for structural applications, it is necessary to understand the fracture behavior of the material. In the present investigation of carbon fiber laminates, studies were carried out to understand the fracture toughness characteristics of the carbon fiber laminates with mechanical, thermal, and thermo-mechanical loadings of modes I, II, and III. …
Published in International Journal of Fracture Mechanics and Damage Science · Vol. 3, Issue 2, 2025 · pp. 1–10 Read article
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A Novel Mathematical Exploration of Fractal Dynamics in Hyperbolic Spaces
Abstract: This research paper presents an original study on the behavior, generation, and properties of fractal structures within hyperbolic geometry. Unlike classical Euclidean fractals, hyperbolic fractals demonstrate accelerated boundary complexity and distinct scaling symmetries due to the curvature of the underlying space. The paper proposes new iterative models, analyzes geometric invariants, and explores potential applications in data visualization, network science, and theoretical physics. This research paper conducts an in-depth investigation into …
Published in Recent Trends in Mathematics · Vol. 3, Issue 1, 2026 · pp. 1–7 Read article
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TiO2 Refined Flux Provides Significant Impact on Saw Bead Shape, Particle Size, and Hardness
Abstract: This experiment is very interested in how adding titanium dioxide powder to submerged arc welding on low alloy steel plates affects the bead geometry, grain size, and hardness. The commercial fluxes were combined with powdered titanium dioxide at varying concentrations (2.5%, 5%, 7.5%, 10%, and 12.5%). No changes were made to the welding process parameters despite the variety of welding situations. It has been shown that the inclusion of titanium …
Published in Journal of Polymer & Composites · Vol. 11, Issue 4, 2023 · pp. 70–80 Read article
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Influence of Aspect Ratio, Geometric Configration and Continuty on Shear Wall Performance
Abstract: This study investigates the dynamic behavior of shear walls in high-rise buildings, focusing on the impact of varying parameters like aspect ratio, geometry, and continuous-discontinuous structures. By accurately identifying and quantifying various loads and conducting comprehensive structural analysis. The high-rise complex features reinforced concrete shear walls designed to resist lateral forces, ensuring safety and stability.This topic is chosen because the dynamic behavior of shear walls in high-rise buildings is critical …
Published in Recent Trends in Civil Engineering & Technology · Vol. 14, Issue 2, 2024 · pp. 26–40 Read article
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AI-Assisted Optimization of Supersonic Airfoil Shapes Using CFD Coupling
Abstract: This paper presents a novel framework for optimizing supersonic airfoil geometries through integrated artificial intelligence and computational fluid dynamics coupling. Traditional gradient-based optimization methods for high-speed aerodynamic shapes suffer from computational expense and convergence difficulties in non-convex design spaces. The proposed methodology employs a deep neural network surrogate model trained on high-fidelity Reynolds-Averaged Navier-Stokes solutions to approximate aerodynamic performance metrics across the design space. A hybrid particle swarm-genetic algorithm searches …
Published in Journal of Aerospace Engineering & Technology · Vol. 16, Issue 1, 2026 Read article
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Aerodynamic Optimization of UAV Wings Using Machine Learning
Abstract: Unmanned Aerial Vehicles (UAVs) are increasingly deployed across defense, transportation, agriculture, and environmental monitoring, demanding improved aerodynamic efficiency to enhance endurance, stability, and payload capacity. Traditional aerodynamic optimization approaches, relying on computational fluid dynamics (CFD) simulations and wind tunnel experiments, are often time-consuming and computationally expensive. This study proposes a machine learning (ML)-driven framework for the aerodynamic optimization of UAV wing geometries, aiming to significantly reduce design cycles while improving …
Published in International Journal on Drones · Vol. 2, Issue 1, 2026 · pp. 1–7 Read article
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Performance Analysis of a Three-DOF Piezoelectric Vibration Energy Harvester
Abstract: Mechanical vibration energy can be transformed into electrical energy by a vibration energy harvester, which can then be stored in the battery for later use. It can convert vibrational motions like walking, leaping, running, etc. into pure renewable energy. This can turn previously squandered energy into energy that can be used to recharge wireless sensors and portable electronics. If these gadgets are used widely, they can produce a lot of …
Published in Journal of Polymer & Composites · Vol. 11, Issue 9, 2023 · pp. 10–18 Read article
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Impact of Built Shape, Forms and Spaces on Human Psychology
Abstract: Shelter is the essential component for human survival, yet they know more about the effects of environmental conditions on human health than they know about how a building’s geometry affects the human brain. Typically, architects work on geometry to integrate the appearance of structures, but design-oriented geometry ignores human experience with respect to psychology and emotion. The psychological effects of architectural geometry on human senses, behaviors, and experiences are the …
Published in International Journal of Architectural Design and Planning · Vol. 2, Issue 1, 2024 · pp. 09–17 Read article
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Hybrid Rocket Propellant Grains: A Review
Abstract: The go-to-rocket propulsion system is either solid rocket motor or liquid rocket engine, but both have their own drawbacks like solid rocket motors cannot be throttled or stopped and started again or the construction of liquid propulsion systems is quite complex, with difficulty in storage and major safety issues. A hybrid rocket propulsion system uses either fuel or oxidizer in solid form and the other in liquid and has a …
Published in Research & Reviews : Journal of Space Science & Technology · Vol. 13, Issue 3, 2024 · pp. 44–51 Read article
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A Review on Characterization of Mechanical Behavior of AA5083 Through Equal Channel Angular Pressing at Different Channel Angles
Abstract: Materials that have been enhanced through traditional techniques like strain hardening, the addition of solutes, altering grain size through precipitation and refining are commonly utilized in industrial applications. However, there is a restriction on the extent of deformation that these traditional techniques can impose on a material. This research centered on examining the primary mechanical characteristics of aluminum alloys when polycrystalline materials incorporate an extremely fine grain size. By producing …
Published in Journal of Polymer & Composites · Vol. 13, Issue 4, 2025 · pp. 54–68 Read article
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Design and Manufacturing of Suspension and Steering System of a F3 Vehicle
Abstract: The suspension and steering systems are critical subsystems of any formula-style racing vehicle, directly influencing its stability, handling, and driver safety. This paper focuses on the design, analysis, and manufacturing of suspension and steering systems for a Formula Student F3 vehicle. The primary objective is to develop a lightweight, reliable, and efficient design that complies with Formula Student competition rulebooks while ensuring optimum ride quality and performance. Using advanced computer-aided …
Published in Trends in Mechanical Engineering & Technology · Vol. 15, Issue 3, 2025 · pp. 1–12 Read article