Reduced-Order Model Development for Airfoil Forced Response

• Main Authors: Jeffrey M. Brown, Ramana V. Grandhi
• Format: Article
• Language: English
• Published: Hindawi Limited 2008-01-01
• Series: International Journal of Rotating Machinery
• Online Access: http://dx.doi.org/10.1155/2008/387828

Two new reduced-order models are developed to accurately and rapidly predict geometry deviation effects on airfoil forced response. Both models have significant application to improved mistuning analysis. The first developed model integrates a principal component analysis approach to reduce the number of defining geometric parameters, semianalytic eigensensitivity analysis, and first-order Taylor series approximation to allow rapid as-measured airfoil response analysis. A second developed model extends this approach and quantifies both random and bias errors between the reduced and full models. Adjusting for the bias significantly improves reduced-order model accuracy. The error model is developed from a regression analysis of the relationship between airfoil geometry parameters and reduced-order model error, leading to physics-based error quantification. Both models are demonstrated on an advanced fan airfoil's frequency, modal force, and forced response.