Simultaneous expansion and orthogonalization of measured modes for structure identification

Suzanne Weaver Smith, Christopher A. Beattie

Research output: Contribution to conferencePaperpeer-review

30 Scopus citations


Tests of large structures on-orbit will be performed with measurements at a relatively few structure points. Values for the unmeasured degrees of freedom (dofs) can be estimated based on measured dofs and analytical model dynamic information. These 'expanded' mode shapes are useful for optimal-update identification and damage location as well as test/analysis correlation. A new method of expansion for test mode shape vectors is developed from the orthogonal Procrustes problem from computational linear algebra. A subspace defined by the set of measured dofs is compared to a subspace defined by mode shapes from an analytical model of the structure. The method simultaneously expands and orthogonalizes the mode shape vectors. Two demonstration problems are used to compare the new method to current expansion techniques.

Original languageEnglish
Number of pages10
StatePublished - 1990
EventAIAA Dynamics Specialist Conference - Long Beach, CA, USA
Duration: Apr 5 1990Apr 6 1990


ConferenceAIAA Dynamics Specialist Conference
CityLong Beach, CA, USA

ASJC Scopus subject areas

  • Engineering (all)


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