Missing Mass Effect in Coupled Analysis. II: Residual Response

Abstract

This is the second paper of two papers that describe the procedures to include the effect of uncalculated high frequency modes in coupled modal synthesis. Because the residual modal vectors of a multiply supported secondary system cannot be included directly in a coupled modal synthesis, formulations are developed to calculate the residual response due to “missing mass” contained in the uncalculated high frequency rigid modes and combine it with the response due to nonrigid modes. A criterion is developed to determine a rigid (cut-off) frequency for the uncoupled secondary system modes and estimate the upper bound of error in the secondary system residual response.