Stochastic Transfer Matrix Method for Random Eigenvalue Problems

摘要

The stochastic transfer matrix method of multibody system (MS-STMM) is presented,which combine of the transfer matrix method and a first order,second moment approach and used to perform dynamic analyses of structures with random parameters.This technique provides relations between the vibrational characteristics of structures with random parameters and the first and second statistical moments of these parameters.The random eigenvalue problems of multibody system are solved by using the stochastic transfer matrix method.The proposed methodology leads to a straightforward analysis with calculations that are much simpler than those with other methods,such as the stochastic finite element method.This method doesn't need the global dynamics equations of system.It has the modeling flexibility,low order of system matrix,high computational efficiency,and is efficient for general flexible multibody system with randon parameters.The effectiveness of this method is verified by a numerical example.