A new method of updating mass and stiffness matrices simultaneously with no spillover

A method for updating mass and stiffness matrices without spillover is presented, which requires the knowledge of only the few eigenpairs to be updated of the original undamped model. The finite element model updating problem with symmetric preserving and no spillover is formulated as a semi-definite programming problem, which can be efficiently solved by existing semi-definite programming algorithms. Numerical examples show that, using the presented updating method, the updated model accurately reproduces the “measured” modal data, while keeping the symmetry of mass and stiffness matrices and avoiding spillover.