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8 articles for “Galerkin’s method”
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Characterizing Electromagnetic Behavior of X-Band Rectangular Waveguide with Convex and Concave Shaped Ridges Using Hp-Finite Element Method
Abstract: In this research study, we explore the behavior of electromagnetic waves as they propagate through ridge waveguides with convex and concave shapes, having both single and double walls. To analyze the waveguide's characteristics, we employ the highly accurate hp-finite element method (hp-FEM). The focus is on investigating the impact of these ridge deformations on cutoff frequencies and bandpass for TE10 and TE20 modes. To benchmark our findings, we compare the …
Published in Journal of Microwave Engineering and Technologies · Vol. 10, Issue 1, 2023 · pp. 27–34 Read article
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Theoretical and Experimental Investigation of Non-linear Vibration Response of an IPMC Actuator Subjected to Alternating Electric Potentialf
Abstract: The precise predication of stable and unstable zone for an applied excitation voltage and frequency is of importance in many micromechanical systems utilizing ionic polymer metal composite (IPMC) as the actuator. A linear dynamic model thus will no longer be valid for IPMC actuator having low thickness and thus more flexible. In this article, non-linear vibration characteristics of a silver (Ag) based IPMC actuator is studied under alternating electric potential …
Published in Journal of Mechatronics and Automation · Vol. 1, Issue 1, 2014 · pp. 11–26 Read article
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FLEXURAL VIBRATION OF NON-UNIFORM BEAM ON BI-PARAMETRIC FOUNDATION UNDER HARMONIC MOVING LOAD WITH NON-CLASSICAL BOUNDARY CONDITIONS
Abstract: The dynamic response to harmonically varying moving loads of non-uniform elastic beam resting on bi-parametric foundation with non-classical boundary condition, time dependent in particular is examined in this paper. Here, the beam is considered non-uniform, with the moment of inertia and the distributed mass varying continuously along the span L as functions of the position 𝑥. In order to guarantee a more stable structure and a reduce risk of resonance, …
Published in International Journal of Mechanical Dynamics and Systems Analysis · Vol. 3, Issue 2, 2025 · pp. 28–42 Read article
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Mathematical Modelling on Unsteady Blood Flow and Unsteady Heat Transfer Through a Stenosed Artery with Hematocrit and Slip Velocity
Abstract: A theoretical investigation concerning variable viscosity dependent on percentage concentration of red blood cell interm of total volume of blood (hematocrit) and slip velocity on unsteady flow of blood and heat transfer has been carried out. The analytical expressions for the flow characteristics and the heat transfer rate, including the velocity profile, volumetric flow rate, flow resistance, wall shear stress, and temperature profile, were obtained using the weighted residual method, …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 2, 2025 · pp. 16–36 Read article
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Modelling of Large Elasto-plastic Deformations by EFGM
Abstract: Current work reports modelling and simulation of geometric and material nonlinearities arising due large elasto-plastic displacements in structural specimens by invoking enriched element free Galerkin method (EFGM). The displacement approximations are constructed by using moving least square approach. Standard displacement based approximations are modified by incorporating suitable enrichment functions depending on the nature of interfaces present in the components. Large deformations give rise to geometric nonlinearities which have been modelled …
Published in Journal of Polymer & Composites · Vol. 12, Issue 2, 2024 · pp. 130–143 Read article
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Advancements in Electromechanical Modeling for Energy Harvesting and Actuators in Robotics and Design Engineering
Abstract: This article examines the expanding field of electromechanical modeling, highlighting the integration of energy harvesting, actuator behavior, and magnetic/electromagnetic analyses in the design and production of electromechanical systems. It discusses the application of the Galerkin method for modeling intricate vibrations and torque generation, with a particular focus on its use in actuators for robotics and induction motors. Significant advancements in energy harvesting methods, especially those utilizing mechanical vibrations, have led …
Published in International Journal of Electro-Mechanics and Material Behaviour · Vol. 2, Issue 2, 2024 · pp. 21–25 Read article
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Evaluation of Metal Coupons Corrosions in Fresh Water Environment at Different Water Depths Using Finite Element Analysis
Abstract: This research addressed the effects of water depths and quality on corrosion of submerged metal structures in the water body considering environmental conditions. The depths considered were 30cm to 150cm. Four different metal coupons were selected (Mild Steel, Copper Steel, Carbon Steel and Stainless Steel] Galerkin`s finite element techniques was applied to evaluate the relationship between diffusion and weight loss, also velocity and weight loss at different water depths. The …
Published in International Journal of Fracture Mechanics and Damage Science · Vol. 3, Issue 1, 2025 · pp. 27–50 Read article
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The Onset of Rayleigh-Bénard-Marangoni Convection in a Ferromagnetic Fluid Layer
Abstract: This study examined the implications of magnetic boundary conditions, which are vertical in nature, on buoyancy and surface tension–driven ferrothermal convection (FTC) in a ferrofluid layer. While the upper surface is stress-free and susceptible to general thermal boundary issues, the bottom surface is stiff and insulating against temperature changes. The eigenvalue issue is solved analytically using the regular perturbation method and numerically using the Galerkin technique. According to analysis, raising …
Published in Journal of Experimental & Applied Mechanics · Vol. 16, Issue 1, 2025 · pp. 1–9 Read article