Abstract

A new method is presented for calculating the derivatives of eigenvalues and eigenvectors for discrete structural systems. In the cases of distinctive eigenvalues, proportional damping is assumed and the exact eigen-pair derivatives of arbitrary order are calculated. For a repeated eigenvalue, its first-order derivatives are calculated by solving a reduced eigenvalue problem of order equal to the eigenvalue's geometric multiplicity. The new method is computationally efficient and numerically robust. Examples are presented to illustrate the use and effectiveness of the new method.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.