A universal matrix perturbation technique for structural dynamic modification using singular value decomposition

An investigation is made of an efficient matrix perturbation technique for structural dynamic modification in this paper. This paper is developed by performing a subspace condensation and an orthogonal decomposition procedure to obtain lower order perturbed eigensolutions. The matrix singular value decomposition approach is then employed to compute the higher order perturbations of eigensolutions. This method, with higher accuracy and simpler procedure, is universally applicable to all three cases of eigenvalues in the unperturbed system: distinct, repeated and closely spaced eigenvalues. Results of the application of the method to examples are shown and compared with numerical results to demonstrate the validity of the technique. (C) 1999 Academic Press.