Analytical dynamic model modification using acceleration and displacement feedback

An efficient numerical method for updating finite element models with incomplete modal measured data using acceleration and displacement feedback technique is developed. By the method, the required control gain matrices of acceleration and displacement feedback are determined, and thus the optimal approximation mass matrix and stiffness matrix which satisfy the required orthogonality relation and eigenvalue equation are found under the Frobenius norm sense. The procedure of this method is very simple and easy to realize and the solution of this problem have a compact expression. The numerical examples show that the modal measured data are better incorporated into the updated model.