Although the exact dynamic elements have been suggested by the authors 
and proved to be useful for the dynamic analysis of distributed-parameter r
otor-bearing systems, difficulty remains in computation because of the pres
ence of transcendental functions in the matrix. This paper proposes a compl
ete analysis scheme for the exact dynamic elements, a generalized modal ana
lysis method, to obtain exact and closed form solutions of time and frequen
cy domain responses for multi-stepped distributed-parameter rotor-bearing s
ystems. A numerical example is provided for validating the proposed method.