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Iterated Dynamic Condensation Technique and Its Applications in Modal Testing
Author(s) -
Zhikun Hou,
Shiyu Chen
Publication year - 1997
Publication title -
shock and vibration
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.418
H-Index - 45
eISSN - 1875-9203
pISSN - 1070-9622
DOI - 10.1155/1997/738784
Subject(s) - modal , iterated function , eigenvalues and eigenvectors , condensation , transformation (genetics) , modal testing , vibration , matrix (chemical analysis) , dynamic testing , modal analysis , algorithm , mathematics , computer science , mathematical optimization , mathematical analysis , structural engineering , engineering , physics , acoustics , materials science , chemistry , biochemistry , composite material , quantum mechanics , gene , polymer chemistry , thermodynamics
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.

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