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25 articles for “trigonometric”
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Dynamic Response Analysis of Isotropic and Orthotropic Rectangular Plates under Clamped-Free Conditions
Abstract: This study explores Theoretical and numerical tools of determining the free vibration properties of isotropic and fiber-reinforced composite rectangular plates. The effect of anisotropy of materials on the dynamic response of the plates is compared between the Aluminium plates and the glass-epoxy laminates. The model used in the study is a three-dimensional finite element model that is designed using a combination of SolidWorks and ANSYS workflow. Clamped-free boundary conditions are …
Published in Journal of Polymer & Composites · Vol. 14, Issue 3, 2026 · pp. 258–274 Read article
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Computation of Different Stresses Acting on Cantilever Beam Using Hyperbolic Shear Deformation Theory
Abstract: The shear deformation effects are more significant in the thick beams. The classical beam theory (ETB) is based on Bernoulli-Euler hypothesis and the classical plate theory (CPT) is based on Kirchhoff’s hypothesis. The shear deformation effects are more pronounced in the thick beams when subjected to transverse loads than in the thin beams under same loading condition. These effects are neglected in elementary theory of beam (ETB). In order to …
Published in Journal of Structural Engineering and Management · Vol. 4, Issue 1, 2017 · pp. 7–18 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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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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Finite Element Analysis of Thick Beams using Lagrange-9 Element and ADINA
Abstract: There has been a lot of research in the field of thick beam analysis. The classical beam theory was the first beam theory but it neglected the effects of shear deformation and this induce the need for further research to develop the beam theory to be helpful in thick beams where the shear deformation is paramount. In this research work, the trigonometric shear deformation theory for thick beam, which includes …
Published in Journal of Experimental & Applied Mechanics · Vol. 7, Issue 3, 2016 · pp. 50–57 Read article