Multiple indicators optimization for stuffed Whipple shield ballistic limit equation

In order to obtain the hypervelocity impact ballistic limit equation suiting for domestic stuffed Whipple shield, multiple indicators optimization method was studied. Based on domestic data, the NASA's ballistic limit equation of stuffed Whipple shield was revised. The results show that, joint the first kind of indicators(totality predicted rate and safety predicted rate) and the second kind of indicator (sum of squared prediction errors) together, better predicted equation can be obtained by correcting the coefficients of the stuffed Whipple shield ballistic limit equation. By correcting the coefficients of ballistic region and hypervelocity region, the corrected ballistic limit equations' totality predicted rate achieve 93.3%, 90% and 88.9% respectively for single-filled group, dual-filled group with single material and dual-filled group with two materials. And their safety predicted rate all reach up to 100%. So they can perfectly meet the engineering requirements. It is obvious that correcting the ballistic limit equations basing on experimental data for different kinds of stuffed Whipple shields, better predicted equations can be obtained for corresponding structures.