Structural optimization incorporating centrifugal and Coriolis effects

The problem of structural optimization in the presence of centrifugal and Coriolis effects was studied for a rotating blade and for a rotating beam. A finite-element formulation was used and optimization was performed by applying nonlinear inverse perturbation. Centrifugal forces were modeled by the use of differential stiffness in a small displacement approximation, and Coriolis effects were obtained by employing Coriolis finite-element matrices. The nonlinear inverse perturbation scheme was then modified to account for the mild geometric nonlinearities posed by differential stiffness and was also modified to incorporate the complex phase changes resulting from Coriolis effects. Finally, the method was applied to small and large changes in the fundamental (bending) frequency of two rotating systems. Satisfactory results were obtained. Ae [be] d e [H] [K] [ke] [M] M/ m p,c