In most dynamic analyses, it is customary
to use a coarser mass idealisation than structural
idealisation especially if stresses are to be
involved. Compatibility between the stiffness
matrix and the smaller mass matrix
M is achieved by
reduction of the stiffness matrix. Guyan has shown
that the reduction is equivalent to a
transformation of the original matrix
K :
where
KR
is the reduced stiffness matrix and
T is the transformation
matrix which contains stiffness terms.
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