ABSTRACT
The equations of motion for the linear flexible body, in the form described by Eq. (1), is computationally inefficient due to the large number of coordinates necessary to describe complex models. This problem is overcome using component mode synthesis technique reducing considerably the size of the problem. A simpler system of equations is obtained using the orthonormality of the modes with respect to the mass matrix, which implies that XT Mff X = I and XT Kff X =, where is a diagonal matrix containing the squares of the flexible body natural and pseudo-natural frequencies. This leads to
where any reference condition previously described can be used instead of the body fixed condition implied by the superscript (bf ).
