Ap. Gupta et N. Goyal, EFFECT OF TRANSVERSE-SHEAR AND ROTATORY INERTIA ON THE FORCED AXISYMMETRICAL RESPONSE OF LINEARLY TAPERED CIRCULAR PLATES, International journal of mechanical sciences, 37(6), 1995, pp. 615-627
The forced axisymmetric response of linearly tapered circular plates,
based on the shear theory is analyzed by the eigenfunction method. Cla
mped and simply supported plates subjected to constant and half-sine p
ulse loads, uniformly distributed over a symmetric portion of the plat
e, are solved as example problems. Numerical results computed for tran
sverse deflection and radial stress of the plate are compared with the
corresponding results of classical theory. Results obtained for a pla
te of constant thickness, as a particular case, are compared with clos
ed form solutions and a very good agreement is found.