From Complex Problems to Simple Solutions: a Systematic Approach

Authors

  • Len Malinin Gen3 Partners

DOI:

https://doi.org/10.6977/IJoSI.201001_1(1).0005

Abstract

A common problem familiar to many researchers dealing with complex technical systems (which can be formally described as non-stationary and/or non-linear multi-degree of freedom systems) is the need to find a meaningful solution which would have physical sense, would explicitly show dependence on the parameters and allow interpretation. Several decades ago the culture of building first approximation, asymptotical or slow time solutions was highly developed and practiced.  Nowadays, with the advent of modern computers and numerical packages it often seems straightforward to generate a solution for the given set of parameters and boundary conditions.  Therefore, the acuteness of this problem may be less obvious for the researcher.  However, this “frontal attack” solution in some cases may be impractical (for instance, if this is an optimal control problem, the solution may require rapid changes of the control, which are hard to realize).  In other cases, when the question arises as to what happens with the solution when the parameters change, the only answer may be to run the analysis again, which can be time consuming and still not show an interpretable dependency on the parameters. 

  The approach is illustrated by three case studies.    

Author Biography

Len Malinin, Gen3 Partners

Dr. Malinin has been at the forefront of innovation leading professional teams of innovators in technology development, technology transfer and innovation consulting. His work has led to funded products and newly formed companies.  Prior to GEN3, Dr. Malinin developed advanced data processing algorithms, worked for an MIT spin-off, and published a monograph on rotor vibration control. He holds several patents and has presented at international conferences.

 

Published

2010-01-07