REDUCTION

Many reduction schemes have been developed to minimize the distortion from the reduction process. The first and best known is the Guyan reduction process which was first developed for static applications and then extended to dynamic applications. An extension to the Guyan reduction process is the Improved Reduced System (IRS) which was developed to compensate for the mass associated with the deleted degrees of freedom that are ignored by the Guyan reduction process. Another technique referred to as Dynamic Condensation is exact for one particular frequency and is most useful for expansion of experimental modes. The System Equivalent Reduction and Expansion Process (SEREP) was developed as an reduction scheme to provide an exact mapping between the full set of finite element degrees of freedom and the set of test degrees of freedom; an additional benefit of the SEREP process is that it can be shown mathematically that the reduced mass and stiffness can be formulated without the use of the system matrices.

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