Calculation of Component Mode Synthesis Matrices From Measured Frequency Response Functions, Part 1: Theory

[+] Author and Article Information
J. A. Morgan

Powertrain Division, General Motors Corporation, Warren, MI 48090

C. Pierre, G. M. Hulbert

Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109

J. Vib. Acoust 120(2), 503-508 (Apr 01, 1998) (6 pages) doi:10.1115/1.2893858 History: Received December 01, 1995; Revised August 01, 1996; Online February 26, 2008


This paper presents a new method to calculate the so-called Craig-Bampton component mode synthesis (CMS) matrices from measured frequency response functions. The procedure is based on a modified residual flexibility method, from which the Craig-Bampton CMS matrices are recovered. Experimental implementation of the method requires estimating the modal parameters corresponding to the measured free boundary modes and the Maclaurin series expansion coefficients corresponding to the omitted modes. Theoretical developments are presented in the present paper, Part 1. The performance of the new method is then demonstrated in Part 2 (Morgan et al., 1998) by comparison of experiment and analysis for a simple two-beam system.

Copyright © 1998 by The American Society of Mechanical Engineers
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