Reduced Model Approximation Approach Using Model Updating Methodologies

Abstract

Model reduction has been performed for several decades to allow for correlation of an analytical model to experimental data at a reduced number of points; however, traditional approaches have limitations. Static stiffness matrix reduction methods (e.g., Guyan) may not accurately capture the system dynamics, while techniques based on mode shapes [e.g., the system equivalent reduction expansion process (SEREP)] may experience rank deficiency issues. A new model reduction approach presented herein addresses these limitations by combining the accuracy of SEREP with the full-rank attributes of Guyan reduction. The advantages of the presented methodology over traditional reduction techniques are showcased via analytical studies on a cantilevered beam and general plate-type structure.