Three-dimensional grain design optimization of solid rocket motors

This study investigates the ballistic design optimization of three-dimensional grains of solid rocket motors (SRMs). The geometric modeling and burnback analysis of grains are performed analytically by using basic geometries like cylinder, cone, prism, sphere, ellipsoid, and torus. For the internal ballistic analysis, a quasi-steady zero-dimensional flow solver is used. Three different optimization methods are considered: real-coded genetic algorithm (GA), binary genetic algorithm and complex method. The optimization methods are applied to the problems of finding the parameters of grain geometry satisfying an objective thrust versus time profile and maximizing the parameter of total impulse satisfying the constraints of chamber pressure and propellant mass.

[1]  Ali Kamran,et al.  Star Grain Optimization using Genetic Algorithm , 2010 .

[2]  J. Barron Generalized coordinate grain design and internal ballistics evaluation program , 1968 .

[3]  Graham Kendall,et al.  Search Methodologies: Introductory Tutorials in Optimization and Decision Support Techniques , 2013 .

[4]  Heiko Rieger,et al.  Optimization algorithms in physics , 2001 .

[5]  G. R. Hext,et al.  Sequential Application of Simplex Designs in Optimisation and Evolutionary Operation , 1962 .

[6]  Wm. Ted Brooks,et al.  Ballistic Optimization of the Star Grain Configuration , 1982 .

[7]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[8]  Sevda Açik,et al.  INTERNAL BALLISTIC DESIGN OPTIMIZATION OF A SOLID ROCKET MOTOR , 2010 .

[9]  Roy J. Hartfield,et al.  Hybrid Particle Swarm-Pattern Search Optimizer for Aerospace Propulsion Applications , 2010 .

[10]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[11]  D. E. Coats,et al.  3-D GRAIN DESIGN AND BALLISTIC ANALYSIS USING THE SPP97 CODE , 1997 .

[12]  Roy J. Hartfield,et al.  Hybrid Particle Swarm: Pattern Search Optimizer for Rocket Propulsion Applications , 2012 .

[13]  Dan Boneh,et al.  On genetic algorithms , 1995, COLT '95.

[14]  M. J. Box A New Method of Constrained Optimization and a Comparison With Other Methods , 1965, Comput. J..

[15]  Liang Guozhu,et al.  A Hybrid Approach for Design Optimization of Wagon Wheel Grain for SRM , 2008 .

[16]  Neil Genzlinger A. and Q , 2006 .

[17]  Osman Yücel BALLISTIC DESIGN OPTIMIZATION OF THREEDIMENSIONAL GRAINS USING GENETIC ALGORITHMS , 2012 .