Abstract

The values of the nondimensional coefficients for central deflection for different Poisson's ratios for clamped plates for both central concentrated load (wcD/PL2) and uniformly distributed loads (vvc D/ql?) are tabulated in Ref. 4. The results for the P mesh (see Fig. Ib) of a clamped square plate are plotted in Figs. 2 and 3. From Figs. 2 and 3, it is seen that the effect of an increase in the Poisson's ratio is to make the finite element approximation of the structure (using these elements) more flexible; and that, as the mesh is made finer and finer, the nondimensional coefficient tends to converge to the exact value for all values of v. Also, it can be noted that the percentage error in the coefficients is the least for v = 0.0. The nondimensional eigenvalues for free vibration ( = ptco2L?/D) were evaluated for v = 0.0 and 0.3 for mesh size of N = 2 and N = 4 for the simply supported square plate. The

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