抄録
This paper deals with the standardized transformation methods of systems reliability-based design for structural reliability and safety. In the structural reliability theory, though many studies are developed on the standardized space until now, a series of the systematization of standardized transformation methods have not been performed yet. Most of that these procedures are multivariate statistical techniques by structural, material and mechanical engineers. These methods should be utilized to map out design space into evaluation space for safety assessment. It is necessary to indicate these methods are important for reliability analyses and estimations. It is able to consider that the standardized transformations are classified both non-normalization of design parameters and uncorrelation of those. This is very useful for the systematization of different transformation algorithms. Therefore, it is reviewed the transformation of design space into each standardized spaces by using each procedures. Firstly, it is reconsidered about nonlinear characteristics of non-normalization transformations by introducing among approximated joint non-normal distribution models, coefficient of correlation between design parameters and the other higher order moment statistics. Secondly, the uniqueness and identity of safety indices under each uncorrelation transformations like Cholesky decomposition, and so on are derived. Finally, it is verified that each standardized transformation procedures have exactness and validity by the evaluation of numerical analyses for some examples in the structural reliability problems.
