V. Mermertas et Ht. Belek, STABILITY OF VARIABLY THICK ORTHOTROPIC ANNULAR PLATES, International journal of mechanical sciences, 36(8), 1994, pp. 737-749
The static and dynamic stability of variably thick orthotropic annular
plates subjected to in-plane periodic forces with respect to time is
studied. It is assumed that the periodic radial forces with the same p
eriod act along both the inner and outer edges of plate. The finite el
ement method is used with a sector element based on the Mindlin plate
theory. The wave propagation technique of cyclic symmetry is used in t
he formulation. The choice of the element enables the analyst to solve
the axi-symmetric and asymmetric dynamic stability problem at the sam
e time. Variations in the plate thickness in which it increases or dec
reases in the radial direction according to the equations h = h(max)(r
/r(o))+lambda or h = h(max)(r/r(i))-lambda, respectively are considere
d. The instability regions for different boundary conditions are deter
mined by Bolotin's method. It is found that the critical buckling load
, buckling mode and instability regions are changed by variations in t
he polar orthotropic material properties.