Choice of Measurement Locations for Parameter Estimation by Static Response

Civil structures mainly require sophisticated finite element models having a number of degrees of freedom, also much effort and cost have to be conducted in experiments and measurements on structures. Necessarily accompanying measurement errors in parameter identification of structures, sparseness and errors of measured da are subjects that are certainly considered. Noisy static force and displacement measurements are used for parameter identification of structures, but limited measurements by experiment are not enough to estimate parameters, and measurement location and the level of accuracy in the measured data can drastically affect the accuracy of the identified parameters. To perform a successful parameter identification in this study, a limited number of degrees of freedom (DOF) on the identified parameters are selected and error sensitivity analysis is used to determine the effect of measurement errors on the parameter estimates. Consequently, a selected DOF to estimate parameters of structures is able to reduce errors when parameters of structures are estimated, and greatly helps to select measurement locations. Numerical examples in this study are presented to demonstrate that using the measurement at the selected subset of the DOF can reduce the error in the parameter estimates.