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A procedure is described for the redesign of undamped structural systems to meet natural frequency and/or mode shape objectives. The procedure can be applied to large or small modal changes and is based on a single finite element analysis of the baseline system. Perturbation of the baseline system is used to develop a set of equations that characterize the redesign process. Depending on the number of modal objectives and design variables, the problem is formulated as underconstrained, properly constrained, or overconstrained. AH three problems are solved using an incremental predictor-corrector technique within the feasibility domain defined by the practical constraints imposed on the design variables. The procedure is illustrated by the redesign of a 1254 degree-of-freedom casting for a frequency objective. M,
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Hoff et al. (1984) studied this question.
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