Department of Computer Science and Information Systems
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Item Forced axisymmetric response of linearly tapered circular plates(Elsevier, 1994-05) Goyal, NavneetForced axisymmetric response of a circular plate of linearly varying thickness, based on the classical theory, is analyzed by the eigen-function method. An exact solution for the free vibration mode shapes is obtained by the Frobenius method. Clamped and simply-supported plates subjected to symmetric uniformly distributed and concentrated impulsive ring and point loads are solved as example problems. Numerical results computed for transverse deflection and radial stress are plotted in the figures.Item Forced asymmetric response of linearly tapered circular plates.(Elsevier, 1999-03) Goyal, NavneetThe eigenfunction method is used to analyze the asymmetric response of linearly tapered circular plates subjected to transverse loads, uniformly distributed over an annular sectorial area of the plate. The analysis is based on the classical plate theory. Numerical results are presented graphically for the transverse deflection and stresses of the plate for various combinations of plate and loading parameters. Results obtained, as a particular case, for a plate of constant thickness subjected to an off-center half-sine pulse point load are compared with previously published results and found to match exactlyItem Forced Motion of a Semi-Infinite Plate of Linearly Varying Thickness(Elsevier, 1994-06) Goyal, NavneetForced motion of a semi-infinite plate of linearly varying thickness based on classical theory is analyzed by an eigenfunction method. Uniformly distributed and concentrated impulsive loads applied to plates clamped at both the edges and cantilever plates are taken as example problems. Numerical results are computed for the transverse deflection and the bending moment of the plate.Item Effect Of Transverse Shear And Rotatory Inertia On The Forced Motion Of A Plate-Strip Of Linearly Varying Thickness(Elsevier, 1994-07) Goyal, NavneetShear theory and the eigenfunction method are used to analyze the forced motion of a plate-strip of linearly varying thickness. A plate clamped at both edges and a cantilever plate subjected to uniformly distributed and concentrated impulsive loads are analyzed as example problems. Numerical results computed for transverse deflection and bending moment of the plate are compared with those of classical theory.