Abstract
This paper deals with the correction of random errors of structural frequencies and the optimal selection of parameters to be modified. The concepts of ideal parameter to be modified, optimal parameter to be modified and the optimal parameter group (in which parameters to be modified are all optimal) are introduced. When the number of the parameters to be modified is given, the optimal parameters are selected from all design parameters so that the expectation of the root-mean-square of the corrected frequency errors takes its minimal value, and the modifications of those optimal parameters are also obtained. The formula to calculate this minimal value is given. Furthermore, the minimal number of parameters to be modified in the optimal parameter group is obtained when the number of parameters to be modified is unknown. Finally, a 15-element truss structure is used to illustrate the application of the proposed methods.
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