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126 articles for “boundary conditions”
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Numerical and Experimental Modal Analysis of Square Sheets of Low Carbon Steel Under Different Boundary Conditions
Abstract: Dynamic analysis of square plates has been a subject of fundamental research interest over several decades. In these analyses, several dynamic aspects such as modal frequencies, occurrence of harmonics, mode shapes, displacement pattern of position vector, location of maximum displacement and damping characteristics are studied which provide critical inputs for structural design engineers. In this paper, a detailed modal analysis (both modal frequencies and mode shapes) of low carbon steel …
Published in Journal of Experimental & Applied Mechanics · Vol. 14, Issue 2, 2023 · pp. 15–22 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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Research on Numerical Simulation of Fluids Based on BIM Boundary Conditions in the Lower Fazi River in Taichung
Abstract: Building Information Model (BIM) application in Taiwan, After sorting out the literature, it is found that the water conservancy field is less used, Computer processing technology is becoming more and more mature, Engineering fluid simulation software has various parameter control and high precision, Simulation channel analysis can be controlled by establishing the edge model to control the water conservancy factor, In this study, BIM was introduced into the river section …
Published in Journal of Water Resource Engineering and Management · Vol. 8, Issue 3, 2021 · pp. 1–18 Read article
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Comparative Study of Uniform and Non-Uniform Beams Resting on Bi-Parametric Foundation Under Harmonic Load with Time Dependent Boundary Conditions
Abstract: In this study, we investigated uniform and non-uniform damped and time-dependent elastic beams resting on bi-parametric foundation subjected to harmonically varying moving load. The beam properties, including moment of inertia and mass per unit length, were assumed to be either constant or varying with position along the beam span in this study. The solution methods were based on Mindlin-Goodman method, Fourier sine transformation, weighted residual method, integral transformation, and theory …
Published in International Journal of Mechanical Dynamics and Systems Analysis · Vol. 4, Issue 1, 2026 · pp. 33–50 Read article
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Effect MFD Viscosity on Bénard–Marangoni Ferroconvection in a Rotating Ferrofluid Layer with Convective Surface Boundary Condition
Abstract: AbstractThe combined effect of Coriolis force due to rotation and magnetic field dependent (MFD) viscosity on the onset of Bénard–Marangoni convection in a horizontal layer of ferrofluid is investigated theoretically. The lower boundary is taken to be rigid–isothermal, while the upper free boundary open to the atmosphere is flat and subject to a convective surface boundary condition. The Galerkin technique is employed to extract the critical stability parameters numerically. It …
Published in Recent Trends in Fluid Mechanics · Vol. 7, Issue 2, 2020 · pp. 12–32 Read article
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Free Vibration Analysis of Thin Circular and Annular Plate with General Boundary Condition
Abstract: This paper presents a numerical analysis of free vibration of thin circular and annular plate using finite element method. The first five natural frequencies are presented for uniform annular plates of various inner-to-outer radii ratios, with nine possible combinations of free, clamped and simply supported boundary conditions at the inner and outer edges of plates. The accuracy of the method is established by comparing the results available in the literature. …
Published in Journal of Structural Engineering and Management · Vol. 2, Issue 2, 2015 · pp. 25–34 Read article
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Vibration Characteristics of Copper-Aluminium Composite under Different Boundary Conditions: Experiment and Simulation
Abstract: The utilization of vibration analysis on the tapered beam significantly enhances the engineering investigation and design process. It is notable that the width of the tapered beam exhibits variation along its length, while the height remains constant. Experimental modal testing aims to determine modal factors such as natural frequency, damping, and mode shapes. A comparative study is presented in this paper, examining the vibrational characteristics of tapered beams composed of …
Published in Journal of Polymer & Composites · Vol. 13, Issue 1, 2025 · pp. 190–203 Read article
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Finite Element Formulation for Mechanical Buckling of FGM Plate Exposed to Various Boundary Conditions
Abstract: Mechanical buckling analysis of functionally graded (FG) material plates based on first-order shear deformation theory. In the real world many components manufactured by FG materials face the buckling load under certain conditions. Various types of gradation law for tailoring the material properties are applied by the researcher, out of that, presently a simple power law for material gradation is applied with shear correction factor (SCF) is used to take account …
Published in Journal of Polymer & Composites · Vol. 13, Issue 4, 2025 · pp. 503–513 Read article
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Harmonically Varying Moving Load on Time-Dependent Uniform Beam Resting on Pasternak Foundation
Abstract: In this paper, we investigated elastic beam whose properties does not varies with spatial coordinate but constant along the span L of the beam. The moving load considered in this work is harmonically varying moving load with non-classical boundary conditions, time dependent boundary conditions in particular. Also, considered in this work is two parameters foundation which are Winkler and Pasternak foundations. Closed form solutions in plotted form are obtained using …
Published in International Journal of Electro-Mechanics and Material Behaviour · Vol. 3, Issue 2, 2025 · pp. 38–47 Read article
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Free Vibration Analysis of Moderate Thickness in Orthotropic Laminated Composite Plate Using FE Method
Abstract: This study presents the free vibration analysis of a composite laminated plate with respect to various parameters. Effect of orientation on a plate, effect of boundary conditions, effect of thickness to width ratio, effect of changing the number of ply on a plate and the effect of young’s modulus ratio are presented in this study. Classical boundary conditions are used to perform all the studies. Free vibration analysis of plate …
Published in Journal of Materials & Metallurgical Engineering · Vol. 9, Issue 3, 2019 · pp. 1–8 Read article
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TITLE - COMPUTATIONAL TECHNIQUES FOR SOLVING 1D FIELD PROBLEMS. i.e. (structural problems)
Abstract: Numerical methods in field of applied mathematics and applied physics are well known tools for solution of various disciplinary and interdisciplinary field problems with different boundary conditions such as solid mechanics, heat transfer, fluid mechanics and soil mechanics etc. This paper aims for successfully framework to get feasible one-dimensional solutions of field problems (i.e. solid mechanics) with finite difference method, finite element method and their comparison with analytical (exact) solutions. …
Published in Trends in Mechanical Engineering & Technology · Vol. 9, Issue 1, 2019 · pp. 32–38 Read article
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FEA Simulation for Optimization of Laminated Composite Plate with Cutout in Free Vibrations
Abstract: Laminated composites have a large application in engineering. The work done in this study is to see the free vibration response of graphite epoxy composite square plate subjected to different boundary conditions. Finite element analysis has been done on the software ANSYS. The results obtained by the simulation have been compared with those obtained from a published data obtained by semianalytical solution. It is observed that the solutions through ANSYS …
Published in Journal of Experimental & Applied Mechanics Read article
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Modelling of Spot Weld Features Using Solid Works and Experimental Modal Analysis of Resistance Spot Welded Thin Sheets of Low Carbon Steel Panels
Abstract: Resistance Spot Welding of thin (RSW) low carbon steel sheets are widely used in automotive, aero-space sectors, furniture, medical equipments, packaging and electronics industries. Although, RSW is well established for low thickness sheets and static design guidelines are well defined, the dynamic analysis of spot welded panels has not been studied in detail. In this paper, solid modeling is done using Solid Works incorporating all the spot weld geometrical features …
Published in Trends in Machine design · Vol. 10, Issue 3, 2023 · pp. 29–39 Read article
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Evolution of Structural Dynamic Modeling Technique for Airborne Chassis
Abstract: To estimate random vibration response of airborne chassis finite element method is used as a tool. For making an appropriate requirement to determine the design requirement of the package for a designer the point of accuracy is very much linked to this prophecy. The modeling practices which are used in FEM are linked to attain preciseness in any considered prediction. Preciseness of a particular FE model is inclined with appropriate …
Published in Journal of Mechatronics and Automation · Vol. 3, Issue 3, 2016 · pp. 12–17 Read article
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Study of Free Vibration Analysis of Circular Laminated Plate Based on FSDT
Abstract: Fiber and matrix make up a composite substance. As a result, a composite material is a product that has two or more distinct constituent materials or phases. Layers of composite material fibres are assembled to have ideal engineering properties in a composite laminate. The aim is to create a material that outperforms its constituent parts in terms of efficiency. Mechanical strength, corrosion resistance, high-temperature resistivity, heat conductivity, stiffness, resilience, lightness, …
Published in Journal of Experimental & Applied Mechanics · Vol. 12, Issue 1, 2021 · pp. 1–5 Read article
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A Method of Mesh Deformation for Flow Analysis Around Oscillating Bodies
Abstract: In general, high-speed rotating machines are subjected to complex phenomena due to various reasons, such as increased noise and strong vibration due to dynamic unbalance, which affect the dynamic motion of rotating machines and are necessarily a problem to overcome. Therefore, it is necessary to have a mathematical model to simulate it, and a strong tool to solve the constructed model. Using fluid-structure coupling techniques, which are currently a powerful …
Published in Journal of Experimental & Applied Mechanics · Vol. 16, Issue 2, 2025 · pp. 35–42 Read article
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Advance Fixed Point Theorems and Its Application to Ordinary and Fractional Differential Equations
Abstract: In the present research, advanced results on the fixed point theorem are applied to typical boundary value problems. Finding a differential equation's solution under certain boundary conditions is the goal of typical boundary value topics. The article appears to extend new fixed point results to a new context, likely involving fractional operators with unique kernels, notably the Caputo-type fractional operator. This extension involves applying the fixed point theorem to a …
Published in Recent Trends in Mathematics · Vol. 1, Issue 1, 2024 · pp. 1–15 Read article
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Transient Dynamic Analysis of Tapered Traditional and Castellated I-Beam using FEM
Abstract: A transient dynamic analysis of typical hot-rolled I sections with solid and castellated web (in the form of a beam member) is performed for various boundary conditions. The analyses are performed for the web depth opening of 0.6D, since it behaves satisfactorily with regards to serviceability requirements at this opening size. Three different pair of sections are selected complying with classification of the sections provided in Table 2 of IS …
Published in Journal of Structural Engineering and Management · Vol. 5, Issue 2, 2018 · pp. 9–24 Read article
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Thermo-mechanical Analysis of Orthotropic plate under Sinusoidally Distributed Thermal load by using Trigonometric shear Deformation Theory (TSDT)
Abstract: For the thermal analysis of simply supported square and rectangular plates applied to sinusoidaldistributed linear thermal load throughout the plate thickness and in combination with sinusoidaldistributed transverse mechanical loading, a trigonometric shear deformation theory is proposed. Inthis work, a sinusoidal function in terms of thickness coordinates is being used in the displacement fieldin conjunction with the transverse shear deformation effect. The normal and shear stress can bedetermined by using the …
Published in Journal of Experimental & Applied Mechanics · Vol. 12, Issue 3, 2021 · pp. 10–33 Read article
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Thermo-mechanical Analysis of Orthotropic plate under Sinusoidally Distributed Thermal load by using Trigonometric shear Deformation Theory (TSDT)
Abstract: For the thermal analysis of simply supported square and rectangular plates applied to sinusoidal distributed linear thermal load throughout the plate thickness and in combination with sinusoidal distributed transverse mechanical loading, a trigonometric shear deformation theory is proposed. In this work, a sinusoidal function in terms of thickness coordinates is being used in the displacement field in conjunction with the transverse shear deformation effect. The normal and shear stress can …
Published in Journal of Experimental & Applied Mechanics Read article