Using Linear Model Reduction to Investigate the Dynamics of Structures with Local Non-linearities

MI Friswell (University of Wales Swansea), JET Penny & SD Garvey (Aston University)

Mechanical Systems and Signal Processing, Vol. 9, No. 3, May 1995, pp. 317-328


This paper considers the application of model reduction methods, which are popular for linear systems, to systems with local nonlinearities, modelled using finite element analysis. In particular these methods are demonstrated by obtaining the receptance of a discrete and a continuous system with cubic stiffening discrete springs, using the harmonic balance method. Time simulation, using the reduced models, is also demonstrated by computing the Poincare map of a pinned-pinned beam with backlash. The methods provide satisfactory results providing sufficient degrees of freedom are retained in the reduced model and these retained degrees of freedom are chosen with some care.

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Link to paper using doi:10.1006/mssp.1995.0026

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