Abstract

Microcomputers are currently used to solve linear problems in structural dynamics. However, realistic engineering applications require a large amount of processing operations such that computer execution time and storage requirements can become critical. It is shown in this paper that the solution of large three‐dimensional linear dynamic problems using microcomputers is best accomplished by working with a reduced system of equilibrium equations expressed in generalized coordinates derived from a new load‐dependent subspace Ritz‐transformation method instead of the classical eigensolution procedure. Numerical applications on the microcomputer earthquake response analysis of a three‐dimensional model of nearly 2000 dynamic degrees of freedom is used to illustrate the relative efficiency of the proposed solution algorithm as compared to the subspace iteration method.

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