AN EXTENSION OF THE INVERSE SENSITIVITY METHOD TO SYSTEMS WITH REPEATED EIGENVALUE

摘要

The inverse sensitivity method for parametric correction in cases when mechanical structures are described by analytical conservative mechanical models with repeated eigenvalues is investigated. A new procedure is proposed for extending the inverse sensitivity method to these systems. This is based on the Taylor expansion of the first order of the eigenvectors corresponding to repeated eigenvalues regardless of the directional character of the eigenvector derivatives. To demonstrate the inverse sensitive method, its applications to two-degree-of-freedom and circularly, symmetric systems with multiple eigenvalues are presented. [References: 11]