Overview of Reduction Methods and Their Implementation Into Finite- Element Local-to-Global Techniques

摘要

Reduction methods are used to reduce the number of degrees of freedom in a finite-element (FE) model, typically at the expense of high- fidelity solutions. The reduced solution's fidelity depends on the reduction method implemented. Most of the reduction methods described in this report were developed to efficiently determine the natural frequencies and mode shapes of large FE models. It is the goal of this report to briefly review these reduction methods and describe their implementation into feasible FE local-to- global analysis techniques. Local-to-global techniques are also part of the family of model reduction methods, but are normally used for structural analysis purposes.