Abstract
Existing coarse grain and fine grain methods are refined to enable the efficient calculation of natural frequencies and critical buckling loads of structures on parallel computers, using the Wittrick-Williams algorithm to solve the transcendental eigenvalue problems arising from the exact solution of the member stiffness equations. The methods are combined to form a novel hybrid method employing both kinds of parallelism simultaneously. Solution times of the hybrid method are up to 24% faster than the best of the existing methods and can be predicted from those of its coarse grain and fine grain components.
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