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25 articles for “equilibrium equations”
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Flexure of Thick Cantilever Beams using Trigonometric Shear Deformation Theory
Abstract: A trigonometric shear deformation theory for flexural analysis of thick beams, taking into account transverse shear deformation effects, is developed. The number of variables in the present theory is same as that in the first order shear deformation theory. The sinusoidal function is used in displacement field in terms of thickness coordinate to represent the shear deformation effects. The noteworthy feature of this theory is that the transverse shear stresses …
Published in Journal of Experimental & Applied Mechanics · Vol. 3, Issue 1, 2012 Read article
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Flexure and vibration of thick beams using trigonometric shear deformation theory
Abstract: A trigonometric shear deformation theory is used for flexural analysis of thick beams, taking into account transverse shear deformation effect. The theory accounts for cosine distribution of transverse shear strain through the thickness of the beam. The governing differential equations and boundary conditions are obtained by using the principle of virtual work. The general solutions for the transverse displacement and rotation are presented for transversely loaded beams. The solutions for …
Published in Journal of Experimental & Applied Mechanics · Vol. 1, Issue 1, 2010 · pp. 1–27 Read article
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Static Flexure of Thick Fixed Beams Subjected to Cosine Loading using Refined Shear Deformation Theory
Abstract: The theory is developed to analyze the thick fixed beam considering the effect of transverse shear deformation. The important feature of this theory is that the transverse shear stresses can be obtained directly using constitutive relationship. While developing the theory the number of variables is kept same as that of first order shear deformation theory. As the theory satisfies the zero shear stress condition on the top and bottom of …
Published in Journal of Structural Engineering and Management · Vol. 3, Issue 2, 2016 · pp. 1–11 Read article
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Displacements in Thick Beams Using Refined Shear Deformation Theory
Abstract: Normal 0 false false false EN-US X-NONE X-NONE A trigonometric shear deformation theory for displacement of thick beams, by considering the transverse shear deformation effects, is presented. Variables in the present theory are same as that of in the first order shear deformation theory. The sinusoidal function is used in displacement field in terms of thickness coordinate to represent the shear deformation effects. Governing differential equations and various boundary conditions …
Published in Journal of Aerospace Engineering & Technology · Vol. 4, Issue 3, 2014 · pp. 22–30 Read article
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A New Hyperbolic Shear Deformation Theory for Flexure of Thick Simply Supported Beam
Abstract: A new hyperbolic shear deformation theory for flexure of simply supported thick or deep beam, taking into account transverse shear deformation effects, is developed. The number of variables in the present theory is same as that in the hyperbolic shear deformation theory. The governing differential equations and boundary conditions are obtained by using the principle of virtual work. The trigonometric function is used in displacement field in terms of thickness …
Published in Journal of Structural Engineering and Management · Vol. 1, Issue 3, 2014 · pp. 15–22 Read article
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Thermal Response of Thick Beam Subjected to Thermo-mechanical Loads by Using HyperbolicShear Deformation Theory
Abstract: In this paper, a hyperbolic shear deformation theory (HPSDT) taking into account transverse shear deformation effect is presented for thermo-mechanical stress analysis of thick isotropic beam subjected to thermo-mechanical. The displacement field contains two variables. The hyperbolic sine and cosine function is used in the displacement field in terms of thickness Co-ordinate to represent the effect of shear deformation. The most important feature of the theory is that, the transverse …
Published in Journal of Structural Engineering and Management · Vol. 3, Issue 3, 2016 · pp. 22–30 Read article
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A Discrete Layer Shear Deformation Theory for Flexure of Thick Cross-ply Laminated Beams
Abstract: A discrete layer shear deformation theory taking into account transverse shear deformation effects, is presented for flexure of two layered (90/0) cross ply laminated beams. The displacement field of the theory contains two variables. Theory does not require shear correction factor. The sinusoidal function is used in the displacement field in terms of thickness coordinate to represent shear deformation. Transverse shear stress can be obtained from the use of constitutive …
Published in Journal of Experimental & Applied Mechanics · Vol. 2, Issue 1, 2011 Read article
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Comparative analysis of with and without P-∆ effect on plan irregular RC structure with different positions of shear wall
Abstract: P-∆ effect is the second order analysis method which is cause due to wind or seismic effect. This secondary effect causes the geometric non-linearity in structure. For high rise structure the P-∆ effect plays the significant role on the building stability because in lots of cases it has been found that failure of tall building is a function of slenderness of building members and second order effect. In P-∆ analysis, …
Published in Journal of Structural Engineering and Management · Vol. 9, Issue 2, 2022 · pp. 24–32 Read article
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The Theoretical and Experimental Study of the Behavior of Gas Bubbles in the Effects of Vibration in the Conditions of Impact of Aircraft’s Overloads and Weightlessness
Abstract: The study of the dynamic behavior of gas bubbles in the fluid and the control by the gas phase in the conditions, close to weightlessness, using the different types of the vibration are important for solving the number of the technological problems, connected to the needs of space technology (degassing special fluids and fuel). The task of the theoretical description of vibration impact on the air bubbles in the fluid …
Published in Journal of Aerospace Engineering & Technology · Vol. 9, Issue 2, 2019 · pp. 40–49 Read article
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The Theoretical and Experimental Study of the Behavior of the Mercury Drop, Fixed on the Glass Bottom of Vessel with Fluid, Under the Acceleration of Gravity Change
Abstract: At present time, accumulated theoretical material of the studies of the equilibrium forms of the gas bubbles or mercury drops, fixed on the surface of solid material in the fluid or on the glass bottom of vessel with fluid, under the acceleration of gravity change, was carried out either on the basis of geometric similarity laws that greatly simplify the essence of physical processes, or on the basis of theoretical …
Published in Recent Trends in Fluid Mechanics Read article
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The Theoretical and Experimental Study of the Behavior of the Mercury Drop, Fixed on the Glass Bottom of Vessel with Fluid, Under the Acceleration of Gravity Change
Abstract: At present time, accumulated theoretical material of the studies of the equilibrium forms of the gas bubbles or mercury drops, fixed on the surface of solid material in the fluid or on the glass bottom of vessel with fluid, under the acceleration of gravity change, was carried out either on the basis of geometric similarity laws that greatly simplify the essence of physical processes, or on the basis of theoretical …
Published in Recent Trends in Fluid Mechanics · Vol. 8, Issue 2, 2021 · pp. 1–12 Read article
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The theoretical and experimental study of the behavior of the gas bubble, fixed on the surface of the solid material, under changing the acceleration of gravity
Abstract: At present time, accumulated theoretical material of the studies of the equilibrium forms of the gas bubbles, fixed on the surface of solid material in the fluid, under the decrease of the acceleration of gravity, was conducted either on the basis of the geometric laws of similitude that strongly simplified the essence of the physical processes or on the basis of the theoretical qualitative assessments of the existing hydrostatic equations …
Published in Journal of Aerospace Engineering & Technology · Vol. 9, Issue 3, 2019 · pp. 1–15 Read article
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Numerical Simulation of Transient Free Convection in a Rectangular Cavity Filled with Porous Material Using Finite Element Formulations
Abstract: In this study, the finite element method is used to quantitatively explore transient free convection in porous cavities in order to understand the flow characteristics and heat conduction processes in the square cavities. In comparison to an uniform temperature gradient, the left wall is swiftly heated and the right wall is allowed to cool to a specific temperature. The horizontal walls are insulated on both sides. Dimensionless representations of the …
Published in Journal of Polymer & Composites · Vol. 11, Issue 8, 2023 · pp. 1–10 Read article
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Fungal Biosorption: An Innovative Treatment Method for the Removal of Textile Dyes
Abstract: Basic fuchsin is a potential toxic, irritant and carcinogenic dye. Conventional dye effluent treatment strategies can cause extreme ecological problems. Therefore, the present study was focused on the sorption of Basic fuchsin dye by dead Aspergillus niger biomass at different pH (pH 6.0, pH 6.5, pH 7.0 and pH 7.5) from aqueous dye solution. Maximum dye removal was observed at pH 7.0 (80.42%). The equilibrium data were analyzed by employing …
Published in Research and Reviews : A Journal of Life Sciences · Vol. 8, Issue 2, 2018 · pp. 82–89 Read article
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Emerging Trends in Interdisciplinary Perspectives and Future Frontiers in Modern Symmetry
Abstract: Symmetry, long recognized as a cornerstone of the natural sciences, has increasingly found relevance across a variety of disciplines, from physics and mathematics to economics, architecture, and systems theory. This interdisciplinary review explores the expanding role of symmetry as a conceptual and analytical tool, highlighting its applications in diverse fields. In classical and quantum physics, symmetry principles form the foundation for conservation laws, particle interactions, and field equations. In economics …
Published in Emerging Trends in Symmetry · Vol. 1, Issue 1, 2025 · pp. 26–30 Read article
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Thermodynamic Analysis of an Adsorption Refrigeration System
Abstract: In this paper, thermodynamics analysis of an adsorption refrigeration pair (activated carbon and methanol) at adsorption equilibrium conditions has been proposed. Similar analyses have been done by different scientists for different combinations of adsorbent-adsorbate pairs. Adsorption refrigeration processes normally occurs in physical adsorption condition and activated carbon molecules being non-polar in nature, micropores approach of adsorption (Polanyi’s micropores theory and D-A equation) has been followed here. Analysis of the adsorption …
Published in Journal of Refrigeration, Air conditioning, Heating and ventilation · Vol. 1, Issue 1, 2014 · pp. 30–37 Read article
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Variable Mass of a Test Particle in Copenhagen Problem with Manev-Type Potential
Abstract: AbstractThis study deals the behavior of the motion of a test particle (third body) in the special case of the circular restricted three-body problem when the mass of the test particle varies according to Jeans law and also considered that the equal mass of the primaries generates the Manev-type potentials. This special case of a restricted problem is known as the Copenhagen problem. We derive the equations of motion of …
Published in Research & Reviews : Journal of Physics · Vol. 9, Issue 1, 2020 · pp. 17–27 Read article
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Dynamics of Prey Predator Model with Harvesting of Prey
Abstract: In this paper we studied the dynamics of prey-predator model with Holling type-II response. The predator is generalist type and can sustain in absence of prey. In addition to that a constant harvesting effort is induced in the prey species. The model is characterized by a couple of differential equations. The well posed ness of the model is established. The system is bounded, exhibits positive solutions and persistence. The possible …
Published in Research & Reviews : Journal of Ecology · Vol. 12, Issue 3, 2023 · pp. 24–33 Read article
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Mathematical Analysis of prey-predator model
Abstract: In this paper we considered a model with a prey and predator involve holling type -II functional response. The predator species is not only dependent on prey species but also have alternative food source. The mathematical model is characterized by the couple of differential equations. The model is well posed and possess positive solutions. The system is bounded and shows the property of permeance. The possible equilibrium points are identified. …
Published in Research & Reviews : Journal of Statistics · Vol. 12, Issue 3, 2023 · pp. 1–10 Read article
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Transport Phenomena of Hepatitis B with Special Reference to Jacobian Matrix in the Null Space
Abstract: A mathematical model representing the transmission dynamics of Hepatitis B virus was presented with system of non-linear differential equations which explain the interaction of Acute, Chronic, Recovered, Treatment, Vaccinated classes of the infection with another epidemiological parameter. The aim of this work is to carry out detailed sensitivity analysis of the model parameters. The disease-free equilibrium points and basic reproduction number of the cases were analyzed. Sensitivity analysis of R0 …
Published in Research & Reviews : Journal of Physics · Vol. 11, Issue 1, 2022 · pp. 16–22 Read article