Analytical Methods for Predicting Grain Regression in Tactical Solid-Rocket Motors

摘要

Algebraic expressions such as those included in this Note represent the foundation of fast analysis for cylindrically perforated solid-rocket-motor grains and combinations of grains. It should be noted that all of the grains mentioned in this Note, except the den-drite, could be represented by the same seven parameters, to be adjusted by any optimization scheme, thereby allowing a tremendous variety of cylindrically perforated grains. If care is taken to maintain a constant web thickness in tapered grains, the equations presented in this Note can be used to model tapered grains accurately, provided that linear averages of geometrically similar cross sections are taken between the two ends of the grain. The versatility and speed with which grain geometries can be explored using this more classical approach to grain design allow the parameter space for motor design to be explored efficiently by design-optimization algorithms.