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Efficient methods for determining modal parameters of dynamic structures with large modifications

Efficient methods for determining modal parameters of dynamic structures with large modifications

Chen, Hua-Peng (2006) Efficient methods for determining modal parameters of dynamic structures with large modifications. Journal of Sound and Vibration, 298 (1-2). pp. 462-470. ISSN 0022-460X (doi:10.1016/j.jsv.2006.06.002)

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Abstract

The paper presents efficient methods for determining the modified modal parameters (natural frequencies and mode shapes) in a structural dynamic modification analysis when structural modifications are relatively large. Based on the developed theory that can provide an exact relationship between the modifications of structural parameters (stiffness and mass) and the associated modal parameters, an efficient iterative computational procedure is proposed for determining the modified eigenvalues and the corresponding eigenvectors for complex structural systems. A high order approximation approach is further presented from the exact relationship and compared with the existing first-order approximation approach and the proposed iterative procedure. From the results for the given numerical example, it is shown that even in the cases with a large modification of structural parameters the proposed iterative procedure can provide exact predictions of the modified modal parameters after only a few iterations, and the high order approximation approach can give excellent estimates. The computation of the modified modal parameters does not require the knowledge of the original or modified structural parameters, and only a limited knowledge of the original modal data may be sufficient in a dynamic reanalysis for complex structures.

Item Type: Article
Uncontrolled Keywords: perturbation-theory,
Subjects: T Technology > T Technology (General)
T Technology > TA Engineering (General). Civil engineering (General)
Pre-2014 Departments: School of Engineering
School of Engineering > Department of Civil Engineering
Related URLs:
Last Modified: 14 Oct 2016 09:09
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
URI: http://gala.gre.ac.uk/id/eprint/3389

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