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Vibration Analysis Formulations for Optimisation
Published online by Cambridge University Press: 04 July 2016
Extract
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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