Investigation into the Uncertainty Parameters in Dynamic performance of Pier Stochastic Finite Element Method Using Wishart Random Matrix

Exact dynamic analysis of piers due to lack of information about their constituting sub systems، is very complicated. Ordinary finite element methods cannot be used in modeling of complex dynamic systems such as these structures since many uncertainty factors exist which cannot be identified exactly. In addition to physical modeling of a pier structure، existence of uncertainty in dynamic behavior of the structure is investigated in this article. This investigation is carried out by means of random attachment of number of mass-spring oscillators to deck. Furthermore، stochastic finite element method is implemented for numerical study of its behavior. Random matrix distribution concept is used for modeling of dynamic characteristic of system. And finally، by means of comparison between frequency response function derived from experimental study and numerical modeling of random finite element، it is observed that Wishart matrix probability density function assesses uncertainty parameters in dynamic response of the structure acceptably.