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Wind and Structures
  Volume 3, Number 4, December 2000 , pages 221-241

Modal transformation tools in structural dynamics and wind engineering
Giovanni Solari and Luigi Carassale(Italy)

    Structural dynamics usually applies modal transformation rules aimed at de-coupling and/orrnminimizing the equations of motion. Proper orthogonal decomposition provides mathematical andrnconceptual tools to define suitable transformed spaces where a multi-variate and/or multi-dimensionalrnrandom process is represented as a linear combination of one-variate and one-dimensional uncorrelatedrnprocesses. Double modal transformation is the joint application of modal analysis and proper orthogonalrndecomposition applied to the loading process. By adopting this method the structural response is expressed as arndouble series expansion in which structural and loading mode contributions are superimposed. Thernsimultaneous use of the structural modal truncation, the loading modal truncation and the cross-modalrnorthogonality property leads to efficient solutions that take into account only a few structural and loadingrnmodes. In addition the physical mechanisms of the dynamic response are clarified and interpreted.
Key Words
    double modal transformation; modal analysis; proper orthogonal decomposition; structural dynamics; wind engineering.
Giovanni Solari and Luigi Carassale, DISEG, Department of Structural and Geotechnical Engineering, University of Genova, Via Montallegro, 1-16145 Genova, Italy

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