Statistical Optimization Method
Takayoshi Kashiwamura, M. Shiratori, Qiang Yu · WIT transactions on the built environment · 1970
The authors have proposed a new practical optimal design method called the statistical optimization method, which consists of the following five steps : the effectivity analysis, reanalysis, evaluation of dispersion, the optimization and evaluation of structural reliability. The design of experiments, combined with a series of finite element analyses (FEA), is used to generate approximate evaluation functions for the controlling behavior depending on the changes in design variables of an object structure. The evaluation functions can also be used as direct tools for estimating the characteristic behavior of design structure. First-order second-moment method is employed to evaluate and generate approximate evaluation functions for the dispersion of the behavior. A mathematical programming etc. are employed to solve the optimization problem of the approximate evaluation functions of the behavior with dispersion. Finally, second-moment method is employed to evaluate the structural reliability. It is confirmed that the proposed method can be used for almost all kinds of the nonlinear problems including the impact behavior of structures, and that it can be carried out in much smaller number of FEA than the other existing methods.