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Shock and Vibration
Volume 4, Issue 3, Pages 143-151

Iterated Dynamic Condensation Technique and Its Applications in Modal Testing

Zhikun Hou and Shiyu Chen

Department of Mechanical Engineering, Worcester Polytechnic Institute, Worcester, MA 01609, USA

Revised 1 May 1995; Accepted 25 September 1996

Copyright © 1997 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This article addresses an application of the dynamic condensation in modal testing, which requires measurements of natural frequencies and a limited number of components of modal shapes only. The measured frequencies can be employed as the initial estimates in the iterated dynamic condensation to effectively find an exact solution for the original eigenvalue problem and determine the transformation matrix between the testing and nontesting coordinates. Complete modal shapes including the nontesting coordinates can then be estimated based on the limited measurements. Numerical results are presented to illustrate the feasibility and efficiency of the iterated dynamic condensation. A comparison with the experimental results of a multiple disk system is also provided.