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The equation of motion of a rectangular plate with four free edges subject to a prescribed in-plane acceleration is formulated based on Hamilton's principle and the assumed mode method. The plate is also under the action of external in-plane loads along two opposite edges of the plate. The effects of sinusoidal perturbations in respect of the in-plane acceleration and external loads are then examined...
The equations of motion of an annular plate subject to prescribed time-dependent radial compressive loads are formulated based on Hamilton's principle and the assumed mode method. The effects of sinusoidal perturbations in respect of the radial loads are then examined using Bolotin's method. The respective regions of instability for axisymmetric deformations are determined by converting the resulting...
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