This paper is a report of work in progress, part of the Caltech MURI Program: NoveludEnergetic Materials to Stabilize Rocket Motors. The primary technical objective of the MURIudProgram is to understand the connections between propellant composition and chemistry, andudthe dynamical behavior observed in solid propellant rocket motors. Here we are concerned withudthe theoretical framework in which chamber dynamics are investigated; and certain aspects ofudcombustion dynamics represented by the response function which is ultimately the macroscopicudrealization of the propellant chemistry and combustion. Some results are given to illustrate possibleudinfluences of the frequency spectrum of the response function on linear and nonlinear motions in audsolid rocket. A simple model is described which is extended eventually to provide a way to modeludphenomenologically some of the observed characteristics of the combustion dynamics of a burningudsolid propellant.
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