A surrogate model for interference prevention in the limaçon‐to‐limaçon machines

Abstract

Purpose

This paper aims to replace the complicated iterative procedure used to prevent interference in limaçon‐to‐limaçon machines by a simplified mathematical equation which can be solved by a straightforward substitution of the required clearance value.

Design/methodology/approach

The input data to the iterative procedure and the obtained results have been employed in regression models to construct the sought after equation. Searching for a proper form of this equation involved numerical experiments to study the effects of the various model parameters on the system response.

Findings

The numerical experiments conducted proved to be an effective model construction technique, and the regression model proposed has been found extremely accurate in the specified parameter space.

Research limitations/implications

The proposed equation is applicable within the parameter range chosen for the study. This range is the one often used for industrial applications. Should the parameters selected for a specific design fall outside the specified range, the proposed model structure may have to be varied to maintain a desirable level of accuracy.

Practical implications

The interference study is a part of the iterative procedure employed to design the dimensions of the limaçon‐to‐limaçon machine. This iterative procedure searches for the proper design amongst hundreds of various possible solutions. The results of this paper will ensure a much faster convergence for the design procedure, since the interference study will be eliminated from the iterative section of the analysis.

Originality/value

The paper offers a valid and accurate model that can be efficiently used for the intended purpose.

Citation

Sultan, I.A. (2007), "A surrogate model for interference prevention in the limaçon‐to‐limaçon machines", Engineering Computations, Vol. 24 No. 5, pp. 437-449. https://doi.org/10.1108/02644400710755852