Small deflection of class of clamped thin plates using collocation

The small deflection behavior is presented for clamped flat plates having a boundary defined by the equation |x/a|α + |y/b|β = 1 where a, b, α and β as positive constants not necessarily integers, with 1 < b/a < 2 and 1.6 < α, β < 10. The ratios of deflections to plate thickness are presented for uniform transverse loads as well as for uniform plus linearly varying transverse load. Deflections are presented at angular increments of 5 degrees and at radial increments of 0.1 of the radius.National Aeronautics & Space Administration 77/07 NSG 434/14 005 010 77/0