RESEARCH PAPERS: Vibration and Sound

Identification of a Positive Definite Mass Matrix

[+] Author and Article Information
John E. Mottershead, T. K. Tee

Department of Mechanical Engineering, University of Liverpool, U.K.

A. W. Lees

Scientific and Technical Department, Central Electrical Generating Board, Bedminster Down, Bristol, U.K.

J. Vib., Acoust., Stress, and Reliab 110(1), 49-52 (Jan 01, 1988) (4 pages) doi:10.1115/1.3269479 History: Received September 15, 1987; Online November 23, 2009


In system identification it is important that any a priori information about the system is utilized in the processing of measured data. Structural vibration problems can be modelled in terms of mass, stiffness, and damping and it is usually the case that the mass matrix is positive definite. In this paper the authors demonstrate how the property of positive definiteness of the mass matrix can be included in the formulation of a continuous frequency domain filter. Results are compared with those obtained from a linear, frequency domain filter which does not impose the condition of positive definiteness on the mass matrix.

Copyright © 1988 by ASME
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