| Abstract: | Proper
Orthogonal Decomposition and its Proper Transformations has been
applied widely in many engineering topics including the wind engineering
recently due to its advantage of optimum approximation of multi-variate
random fields using the modal decomposition and limited number of
dominantly orthogonal eigenvectors. This paper will present fundamentals
of the Proper Orthogonal Decomposition and its Proper Transformations
in both the time domain and the frequency domain based on both
covariances matrix and cross spectral matrix branches. Moreover, the
most recent topics and applications of the Proper Orthogonal
Decomposition and its Proper Transformation in the wind engineering will
be emphasized and discussed in this paper as follows: (1) Analysis and
synthesis, identification of the multi-variate dynamic pressure fields;
(2) Digital simulation of the multi-variate random turbulent wind fields
and (3) Stochastic response prediction of structures due to the
turbulent wind flows. All applications of the Proper Orthogonal
Decomposition and its Proper Transformations will be investigated under
numerical examples, especially will be formulated in both time domain
and the frequency domain. |
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