Eigenvector derivatives for mechanical second-order systems Academic Article uri icon

abstract

  • Analytical expressions are developed for computing eigenvector derivatives, specialized for the case of mechanical second-order dynamic systems. Both exact and approximate formulations are developed using a modal expansion approach. The new exact formulations are found to be numerically accurate and to require significantly less computing time than the corresponding generalized formulations. An improved approximate method is also introduced for computing a truncated set of eigenvector derivatives for large structural systems. Numerical examples are included to evaluate the effectiveness of the approximate formulations, and they are found to be very efficient in the cases studied. © 1995 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.

author list (cited authors)

  • Kim, Y., Lee, S., & Junkins, J. L.

citation count

  • 13

publication date

  • July 1995