Empirical Similitude Method (ESM) is a technique developed to enhance the applicability of similarity methods to incorporate more realistic experimental data and scaling effects. Much of the development has been motivated by the premise of forging a relationship between experiential information and physical systems that have inherent non–linear variables and factors affecting their response. We augment this procedure by incorporating the Toeplitz and Hankel matrices, and solve the modified linear ESM problem using the conjugate gradient method, highlighting the potential benefits in the process. A simple deflection example is illustrated for lucidity and a comparison is made between all the available methods for contrast. A final extension into the use of shape factors is made using a numerical example.

This content is only available via PDF.
You do not currently have access to this content.