Session:

Manufacturing Modeling and Dynamic Systems
Monday March 01, 2004, 17.35 – 17.55

Session Chair:

Fatima Rateb

Paper Title:

A New Algorithm for Adaptive Modeling of Mechanical Systems

Author(s):

Dr S. Lukasiewicz, The University of Calgary, Canada
Dr. H. Hojjati, The University of Mazandaran, Bobol, Iran

Abstract:

The paper presents an application of Adaptive Matrix Filter method [1] to the modeling of the mechanical systems utilizing a new algorithm [2] for solving any combination of linear-nonlinear systems of equations. This algothm is based on the separation of linear equations in terms of some selected variables from the nonlinear ones. The linear group is solved by means of any method suitable for the linear system. This operation needs no iteration. The nonlinear group, however, is solved by an iterative technique based on a new formula developed using the Taylor series expansion. The method has successfully been applied to several examples of analytical systems as well as in some engineering applications with very good results. The proposed method needs the initial guess for nonlinear variables only. This is far less than needed in Newton- Raphson method. The method also has a very good convergence rate and it is shown that the results are not sensitive to the selected initial guess. The proposed method is most beneficial for Adaptive Modeling problems that very often involve large number of linear equations with limited number of nonlinear equations. This approach makes the Adaptive Matrix Filter method an effective tool in engineering applications.