Mass and Stiffness Modifications with Unmodified Eigenstructure Preserving

Article Preview

Abstract:

A necessary and sufficient condition is proposed for the incremental mass and stiffness matrices that modify some eigenpairs while keeping other eigenpairs unchanged, which requires the knowledge of only the few eigenpairs to be modified of the original undamped vibration system. The application prospects are proposed based on this formulation.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

475-478

Citation:

Online since:

September 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] S.G. Braun, Y.M. Ram, Modal modification of vibrating systems: some problems and their solutions, Mechanical Systems and Signal Processing, 15 (2001) 101–119.

DOI: 10.1006/mssp.2000.1354

Google Scholar

[2] H. Ouyang, D. Richiedei, A. Trevisani, and G. Zanardo, Eigenstructure assignment in undamped vibrating systems: a convex-constrained modification method based on receptances, Mechanical Systems and Signal Processing, 27 (2012) 397–409.

DOI: 10.1016/j.ymssp.2011.09.010

Google Scholar

[3] K.M. Abadir, J.R. Magnus, Econometric Exercises, Volume 1: Matrix Algebra, Cambridge University Press, New York, 2005, p.122.

Google Scholar