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Minimization of Error for Enforced Motion in FEM
ISSN: 0148-7191, e-ISSN: 2688-3627
Published April 30, 2001 by SAE International in United States
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Several methods are currently used to enforce motion in different types of noise and vibration models. Experimentally based FRF models often use a matrix inversion technique to enforce motion. In finite element models, the large mass method is one that is very commonly used. A literature review has shown few guidelines for determining the size of these large masses. In this paper, the relationship between the matrix inversion technique and the large mass method is derived. From this relationship, conditions necessary for these large mass FEM models to converge to the same answers as the matrix inversion technique are derived. These conditions are then used to develop a criterion for determining a smallest possible large mass. Results from a simple model are presented to demonstrate the criterion.
CitationSchneider, K., "Minimization of Error for Enforced Motion in FEM," SAE Technical Paper 2001-01-1409, 2001, https://doi.org/10.4271/2001-01-1409.
- Shen, L. K. “Concepts and Application of the Large Mass Method in Vibration Analysis of SSME Engine Structures,” ASME, Machinery Dynamics and Element Vibrations 36 1991
- MSC/NASTRAN Dynamic Analysis MacNeal-Schwendler Corp. Los Angeles, CA 1998
- Roggenkamp, T. An Investigation of the Indirect Measurement of Broadband Force Spectra Purdue University 1992
- Otte, D. Development and Evaluation of Singular Value Analysis Methodologies for Studying Multivariate Noise and Vibration Problems Katholieke Universiteit Leuven 1994
- Strang, G. Linear Algebra and Its Applications 3rd Harcourt Brace Jovanovich 1988