Generalized inverse eigenvalue method for structural elastic support stiffness identification

parameter identification;  generalized inverse eigenvalues;  Elastic support stiffness

Taking the structure with elastic support as the object, the structural stiffness matrix is regarded as a linear function of the elastic support stiffness, and based on the generalized inverse eigenvalue theory, the generalized eigenvalue derivative is introduced to give a method to identify the elastic support stiffness of the structure. In this example, using the modal test results, according to the measured natural frequencies of the first three orders, the Newton-Raphson method is used to solve the nonlinear equation system with the supporting stiffness as the parameter, the elastic supporting stiffness is obtained, and the influence of the error of the modal test results on the recognition of the supporting stiffness is analyzed. The error analysis shows that if the modal test results have sufficient accuracy, the structural boundary support stiffness can be accurately identified by this method.