Abstract
An Impulse Response Function (IRF) matrix for a cantilever beam with No response points and Ni excitation points is obtained from simulated data. The Unified Matrix Polynomial Approach (UMPA) is employed to estimate its modal parameters. The scaled mode shapes to a unity Modal-A matrix are calculated and used to formulate a modal model for the beam. This model is used in a Structural Dynamics Modification (SDM) technique combined with the Component Mode Synthesis (CMS) to predict the modal parameters of connected beams with additional lumped masses attached to them, and with additional linear springs and dampers between the beams and between each beam and the ground. On the other hand, the impedance method is used to generate the Frequency Response Function (FRF) matrix of the two-beam system with the additional masses, springs, and dampers. The FRF matrix of the original beam, are used to synthesize the FRF matrix of the new structure. Time and frequency domain UMPA algorithms are employed to extract the modal parameters of the system. Results from both modal modeling and impedance modeling are compared with the corresponding theoretical results.
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