Abstract
A method for calculating natural frequencies and mode shapes of large structural systems using conjugate gradient (CG) algorithm with element-by-element (EBE) preconditioning and the basic subspace iteration is proposed. In this method, the entire analysis can be carried out elementwise without the need to construct and triangularize the structural stiffness matrix. Thus very large systems can be solved with a minimum amount of incore memory and the task of running a separate processor (program) for bandwidth minimization becomes unnecessary. Potential for further improvement on the proposed scheme by using computers with parallel processing capability is also discussed. Finally, examples are given to show the improved performance of EBE preconditioning as compared to the traditional CG algorithm.
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