Mass change detection based on reduced measurements

Summary Changes in the mass matrix of a dynamic structure can be detected by using reduced measurements [1]. In the here proposed method the stiffness matrix is assumed to be correct. The missing measurements can be calculated by utilizing the connection between the measured and unmeasured quantities through the iterative process of identification of the tested structure. The missing measurements and to some extent the partial measurements obtained during the tests are treated as hidden functions of the mass parameters of the structure. This makes the Euclidean norm of the appropriate matrix to be minimized a nonlinear function of the parameters. This norm may have more than one minimum. The changes in the mass matrix must be identified by looking for the global mininum of the Euclidean norm. The global minimum can be found by changing the initial values of the mass parameters or by changing some special coefficients, or both.In order to identify the mass parameters of the structure the measured and the supplied missing quantities are forced to comply with the general laws for a linear structure. This compliance is achieved during any step of the iterative process.