Abstract
The purpose of this paper is to predict accurate frequencies of structures in component mode synthesis. The current methods cannot necessarily provide accurate frequencies of structures because boundary modes obtained by using the Guyan reduction are not accurate. A method to find accurate boundary modes using dynamic reduction is proposed for improving frequency prediction accuracy. A dynamic transformation, obtained from the vibration equation of motion, gives the coordinate transformation that leads to the reduced equation of motion for the boundary coordinates. Boundary frequencies and their normal modes are found from this equation. We revise these solutions using new transformations at the calculated boundary frequencies to reduce truncation error. Truncation error is assessed by a frequency error obtained from the revised solution. A numerical example is given to show that the proposed method is effective for predicting accurate boundary modes.
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