This paper focuses on the problem of identifying all individual principal rigid body modes and the associated mass or principal inertia of moment, which can be called modal mass, of flexible structures under the free-free boundary condition with fewer multi-location excitations than the number of those modes. The rigid body mass matrix of the structure can be identified by using both the parameters of inertia, which are determined previously by a modal parameter estimation, and the coordinates of measurement points. As all rigid body properties can be obtained from the mass matrix, it becomes possible to simulate the FRFs between any two measurement points with inclusion of the contribution of rigid body motions even by only experimental modal analysis technique. First, the theory is explained. Then, a numerical simulation and two actual identifications for a plate structure and an automotive body component are carried out to demonstrate the validity and the usefulness of the theory.
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July 1997
Research Papers
Identification of Principal Rigid Body Modes Under Free-Free Boundary Condition
Masaaki Okuma,
Masaaki Okuma
Department of Mechanical Engineering & Science, Tokyo Institute of Technology, 2-12-1, O-oKayama, Meguro-Ku, Tokyo, 152, Japan
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Qinzhong Shi
Qinzhong Shi
Department of Mechanical Engineering & Science, Tokyo Institute of Technology, 2-12-1, O-oKayama, Meguro-Ku, Tokyo, 152, Japan
Search for other works by this author on:
Masaaki Okuma
Department of Mechanical Engineering & Science, Tokyo Institute of Technology, 2-12-1, O-oKayama, Meguro-Ku, Tokyo, 152, Japan
Qinzhong Shi
Department of Mechanical Engineering & Science, Tokyo Institute of Technology, 2-12-1, O-oKayama, Meguro-Ku, Tokyo, 152, Japan
J. Vib. Acoust. Jul 1997, 119(3): 341-345 (5 pages)
Published Online: July 1, 1997
Article history
Received:
November 1, 1994
Online:
February 26, 2008
Citation
Okuma, M., and Shi, Q. (July 1, 1997). "Identification of Principal Rigid Body Modes Under Free-Free Boundary Condition." ASME. J. Vib. Acoust. July 1997; 119(3): 341–345. https://doi.org/10.1115/1.2889729
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