Negative resistances in nonlinear lumped acoustic systems and IC-engine source data

Abstract

Negative real parts of impedances can be found in IC-engine source characterization measurements. There is an obvious problem with the physical interpretation of negative resistances, and consequently there have been many questions about the validity of such results. This paper is an attempt to explain the origin of the mentioned negative acoustic resistances. To this end, a simple nonlinear lumped acoustic system, that is, a force-driven damped mass-spring system, is analyzed. Since this is a common case in acoustic measurements, linear analysis is performed in spite of the obvious nonlinear properties. It is shown that the degree of nonlinearity in the system is crucial to the values of the acoustic impedance. Furthermore, it is shown that it is possible to achieve negative resistances already in a simple lumped system. Finally, these results are also compared to simulated and measured IC-engine source impedances.