ABSTRACT
The systematic methods developed by Cai and Lin [4.1], and further generalized by To and Li [4.2] give a broadest class of solvable reduced Fokker-PlanckKolmogorov (FPK) equations which contains all solvable equations previously obtained and presented in the literature. However, it is difficult to find a real mechanical or structural system that corresponds to a solvable reduced FPK equation other than those already reported in the literature and representatively included in chapter 3. Consequently, it is necessary to apply approximation methods to deal with other real mechanical or structural systems.
