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4 articles for “parabolically varying thickness”
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Thermal Gradient Effect on Vibrations of Non-homogeneous Rectangular Plate having Continuously Parabolically Varying Thickness in both Directions
Abstract: This paper presents the effect of thermal gradient on vibrations of non-homogeneity of the material of plate structures on the vibration frequencies for continuously parabolically varying thickness in both directions. The non-homogeneity of the plate is characterized by taking linear temperature variations in the Young’s modulus and linear variation in density of the material. Vibrational behaviors of non-homogeneous rectangular plates of variable thickness having two opposite edges (y = 0 …
Published in Journal of Experimental & Applied Mechanics · Vol. 2, Issue 1, 2011 · pp. 38–46 Read article
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Effect of Exponential Temperature Variation on Vibration of Orthotropic Rectangular Plate whose Thickness varies Parabolically in Both Directions
Abstract: A simple model presented here is to study the exponentially thermal effect on vibration of orthotropic rectangular plate having bi-direction parabolically varying thickness having clamped boundary conditions on all the four edges. Rayleigh Ritz method is used to evaluate the frequency parameter. The two-dimensional thickness variation is taken as the Cartesian product of parabolic variations along the two concurrent edges of the plate. Yet the method used for the solution …
Published in Journal of Experimental & Applied Mechanics · Vol. 4, Issue 2, 2013 · pp. 1–8 Read article
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Non-Homogeneous Effect on Vibration of Visco-Elastic Rectangular Plate Having Parabolically Varying Thickness in Both Directions
Abstract: At present the vibration theory has become significant in every sphere of applied sciences. In the advance time, the plates of variable thickness are widely used in civil, aeronautical, mechanical, electronics and marine structures like jet engines designing, space crafts, gas turbines, nuclear power projects etc. The effect of variation of non-homogeneity on vibration of visco-elastic rectangular plate with parabolically varying thickness in both directions is presented in this paper. …
Published in Journal of Experimental & Applied Mechanics · Vol. 9, Issue 3, 2018 · pp. 31–45 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